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5. 2 What is the value of -1 + -1 + (0 + 4 - (-35 + 36))? 1 27 - (-9 + 4 - (-16 - -2)) 18 What is 14 - (23 + -3) - (11 + -7)? -10 What is the value of 4 + -2 - (2 + -6 + -5 + 3)? 8 1 + 5 - ((-10 - -23) + 2) -9 (488 - 479) + -1 + 12 20 (32 - 15) + -14 + -1 2 What is (-1 - (-30 + 30)) + -1? -2 Calculate 54 + -35 + -23 - (1 - -7). -12 Calculate 1 - (-6 - ((-6 - 0) + 12 + -2)). 11 What is -5 + 3 + -2 + 2 + (13 - 18)? -7 What is the value of (9 - -2) + (-121 - -123)? 13 Calculate (4 - (15 + -5)) + 18 + 2 + -6. 8 Evaluate 10 - (10 - (-41 + 21)). -20 What is the value of -2 + (40 - 27) + -24 + -5? -18 What is the value of 26 + 20 + -23 + -26? -3 What is -9 - (2 + -3 + -8 + 5)? -5 What is -12 + -1 - (19 + (-27 - (-9 - 4)))? -18 Calculate 4 - (-2 + -1 - ((19 - 9) + -9)). 8 What is (22 - (-9 + 33)) + 10? 8 Evaluate 6 + (19 + -6 - 34). -15 (10 + -23 - (-8 - 1)) + -6 -10 8 - (-11 + 20 + -10 + 2) 7 Calculate -13 + 37 + -70 + 28. -18 What is 12 + 11 + -7 + -9? 7 Calculate -8 + (39 - (-9 - -6 - -6 - -8)). 20 Evaluate (-9 - 3) + 7 + -4 + 1 + -2. -10 -13 + (6 - 10) + 1 + 4 -12 Evaluate 13 - (-5 - -9 - -17) - -18. 10 95 + -113 + (0 - 3) + 3 -18 What is (-9 + 39 - 13) + (-9 - -1)? 9 What is (1 - 1) + (-249 - -247)? -2 Evaluate 601 - 606 - (1 + 26). -32 What is 35 + -20 - (2 - -11) - 10? -8 16 + (-2 - 1 - (-6 - -1)) 18 Calculate -20 + 16 + (13 - 13). -4 What is 2 + (-9 - -11) - 12? -8 5 - (-3 + -12 - -10) 10 What is the value of (-40 + 13 - 2) + 41? 12 What is 9 + (0 - (-3 + 8)) + -5? -1 (-49 - (-70 - -36)) + (0 - -36) 21 2 - (11 - ((-9 - -13 - 1) + 7)) 1 What is -18 + 1 - ((1 - 12 - -15) + -6)? -15 What is the value of -8 + (2 - 2) + 3 + 9? 4 Evaluate (20 - (0 + 2)) + -398 + 395. 15 What is the value of -7 + 35 + 7 + 2 + -16? 21 Evaluate (-30 - -41) + 0 - -5. 16 (-12 - -5 - (-8 - 0)) + -7 + 8 2 What is 2 + -2 + -7 + (-17 + 2 - -31)? 9 What is -24 + 30 - (0 - 1) - 4? 3 Evaluate -2 - (-7 - ((2 - 2) + 49 + -58)). -4 Evaluate 3 - (10 + -16 + 5). 4 What is the value of 4 - ((-26 - -2 - -7) + 2 - -4)? 15 Calculate 186 + -199 + -11 + (6 - 3). -21 What is -29 - (1 - (-13 + (2 - -22)))? -19 Evaluate -13 + (15 - 6) - (-2 - -21). -23 Calculate 11 + 0 + (-2 - (-2 + 3 + -3)). 11 What is the value of (20 - 47) + 0 + 6? -21 Evaluate 7 - (-5 + 17 - (2 - -1)). -2 What is 8 + -12 + -6 + (10 - 2) + -23? -25 Calculate (-4 - (3 - -26)) + 0 + 0 + 5. -28 Evaluate -36 + 24 + -6 + 24. 6 What is -1 + -2 + -45 + 36 + 1? -11 Evaluate 7 + (-3 - -1) + 7 + -6 + -7. -1 Calculate ((3 - 5) + -5 - -2) + 3 + 0. -2 What is -19 + 10 + (-2 - -5) + 10? 4 Evaluate (-7 - -2) + 11 + 2 + 9. 17 What is -7 + 23 + -23 + 2? -5 Calculate 203 + -219 - (1 - -3 - -3). -23 What is the value of 23 + 8 + 3 + -5 + -4 + 3? 28 0 - 13 - ((5 - 11) + 7) -14 What is the value of -11 - (5 + 3) - -12 - 2? -9 What is (222 - 265) + (1 - -12)? -30 What is the value of (4 - -6) + -26 + 29? 13 What is the value of (-9 + 12 - 4) + 8 + (-1 - -11)? 17 (-36 - -27) + 28 - 26 -7 Evaluate (-18 - -3) + 11 + (1 - -3). 0 What is the value of 1 + -10 + -5 + (-5 - -2) + 14? -3 Evaluate -18 - (19 - (44 - 19)). -12 What is -1 + 9 + (-25 - (-2 - 14))? -1 What is the value of -6 - (-3 - -1) - (484 + -474)? -14 Calculate -42 + 21 - (0 + -1 + 0 + 8). -28 Calculate 9 + 42 + -42 + (-1 - -1) + -18. -9 (39 + -29 - (4 + -3)) + -19 -10 What is -19 - (-3 - (-12 + (-2 - 4)))? -34 Evaluate -30 - (6 - 20) - -4. -12 What is the value of 7 - 0 - (17 - 15)? 5 What is -1 + (5 - 1 - 0 - (7 - 9))? 5 What is the value of (1 - (-2 + (-3 - -5) + -1)) + 6? 8 Evaluate -8 - 0 - (28 + -36) - 2. -2 15 - (-12 + 30 + -9) 6 What is (6 - (20 - 4 - 4 - 6)) + 5? 5 What is the value of -1 - -1 - ((-11 - 7) + 2)? 16 What is the value of -2 + 4 + -6 + -2 + 10? 4 -15 - -2 - (14 + -6 + 3) -24 Calculate -27 + 5 - (-20 + 1) - 21. -24 Calculate 18 - 8 - 24 - -28. 14 What is the value of 13 + -32 + 30 - (0 - -8)? 3 -7 + (5 - -20 - 14) + -36 -32 Evaluate 5 + 3 + -9 + -4 + 8 + -1. 2 What is the value of -2 + 7 + (-14 - 7) - -6? -10 What is (-13 + 9 - -21) + -20? -3 Evaluate 6 + -11 + (1 - (-5 + -5)) + -8. -2 What is 55 - (4 - (-31 + -12 + 29))? 37 What is the value of -7 - ((20 - -2) + -5)? -24 ((-20 - 1) + -6 - -8) + 5 - -5 -9 Calculate -4 + -10 + 0 + 34 + 3 + -4. 19 Calculate (-6 - (-16 - -3) - 28) + (-4 - -5). -20 Calculate 10 + (8 - (28 - 6)) + 8. 4 9 + -7 + 1 - 6 - (-1 - 2) 0 Calculate (-19 - -22) + (1 - -3) + (-15 - -16). 8 -3 - (-1 - -5) - (36 - 31) -12 (-33 - -15) + 3 + 12 -3 What is the value of (-14 - -37) + (-46 - -6)? -17 (-2 - -15) + (-91 - -78) 0 What is the value of -10 - -4 - 7 - -14? 1 7 - (-12 + 15) - (4 + 2 + 14) -16 Evaluate -31 + 13 + -19 + 10. -27 What is 28 - 32 - (-1 - 1) - (4 - 23)? 17 What is the value of (6 - 3) + (-21 - -26) - (4 + -8)? 12 -30 + -8 + -4 - (-16 + -2) -24 What is 17 + -27 + 28 + -3? 15 -10 - (-7 - ((4 - (-5 + 10)) + -1)) -5 What is -1 + (-7 + 7 + -1 - (-6 + 11))? -7 Calculate (12 - -1) + 388 + -400. 1 Evaluate 1 + 15 + 4 + 5 + -5 + 1. 21 What is the value of 6 - 1 - (10 + -1 + 4 - 6)? -2 What is the value of -78 - -72 - (1 - 3)? -4 What is the value of 15 + -11 + (-5 - -4) + -4? -1 Evaluate 17 + -15 + 11 + 3 + -6 + 3. 13 -3 - -1 - ((-36 - -4) + (-40 - -49)) 21 7 + (-7 - (-1 - (-8 + 4))) - -5 2 Evaluate (7 - (-8 - -18)) + 0 - (-14 - 1). 12 -22 - (-5 - -7 - (-18 - -26)) -16 What is 1 - -1 - ((26 - 26) + 1)? 1 What is (-6 + 3 - -19) + (23 - 27) - 5? 7 3 + -7 + (-1 - -1) + 571 + -564 3 What is the value of 2 - 2 - (164 - 152)? -12 What is the value of (14 - 23) + 1 + 8? 0 Calculate 1 - 14 - 0 - (-29 + 73 - 51). -6 Evaluate 13 - (12 + (-8 - (-3 + 1))). 7 Calculate (-28 - -37 - (8 - (1 - -1))) + 5. 8 1 - 38 - (2931 + -2982) 14 -8 + (11 + -11 - 3) - (0 - 1) -10 Evaluate (-9 - 0 - (-2 - 12)) + (-13 - 1). -9 Calculate (-7 - (4 + -13 - -1)) + (2 - -14). 17 Calculate -1 + 4 - (-13 - (9 - (31 - 8))). 2 6 - ((-2 - 5) + (-34 - -56)) -9 Evaluate -9 + 11 + -16 + (1 - -1 - -2). -10 What is -8 + 30 + -3 + -48? -29 Evaluate -5 + 4 + -3 + 13. 9 Calculate (-51 - -65 - 18) + (-2 - -11). 5 -2 - (7 - (2 - -7)) 0 Evaluate 8 + 0 + -30 + 29. 7 Calculate 68 + (-62 - -16) - (1 + 7). 14 45 + -50 + (-1 + (-5 - -1) - -1) -9 What is (127 - 107) + -2 + 4? 22 31 + -36 + (-2 - -2) -5 What is 8 - 7 - 9 - 8? -16 Evaluate 2 + (-17 + -13 - (-2 + 0)) - -5. -21 Evaluate 2 + 0 + -12 - (0 + 5) - -2. -13 Calculate 0 + -3 + -2 + 2 + (8 - 1). 4 Evaluate 10 + 5 + -8 + (-17 - (1 - -1)). -12 Evaluate 11 + -15 + (14 + -2 - 4). 4 Calculate -12 + (-14 - -30 - -3 - -16). 23 What is 5 - (6 - 2 - (11 - 11 - -8))? 9 Calculate -12 - (0 + -12 + 9). -9 Calculate 2 - (1 + 3 - 7 - (16 - 9)). 12 What is the value of 4 - (14 + -11 - (-1 + -2 + 2))? 0 What is (79 - 95 - (0 - (7 + 1))) + 5? -3 19 + -17 + 12 + 15 29 What is (-4 - 0) + (2 + 2 - 13)? -13 What is 0 + -12 + (11 - (-3 - 18))? 20 Calculate -12 + 41 + -16 - 10. 3 Evaluate 963 + -975 - (21 - (0 - 1 - 1)). -35 Calculate 27 - 25 - (1 + (-7 - -7)). 1 -8 + 0 - (89 + -114) 17 Evaluate (-2 + -3 + 2 - 3) + 2. -4 Evaluate -5 - (5 - (-3 - (5 - 30))). 12 Calculate (9 - 1) + 71 + -94. -15 Calculate 21 + (-27 - (-2 + -5)). 1 Evaluate (-5 - -17) + 19 + -18. 13 Evaluate -15 + 0 + (-1 - (-37 - -27)). -6 Evaluate (-37 - -36 - (7 - 1)) + (2 - 0). -5 10 + (-11 - -9) + 4 12 What is the value of -5 + 36 - ((8 + 3 - 9) + 7)? 22 What is 4 - 5 - (-6 + 20)? -15 -92 - -90 - (-13 + -1) 12 -31 + 79 - (14 - -5) 29 What is (-4 - (0 - ((5 - 1) + -9))) + 7? -2 Calculate 0 - 21 - -43 - 11. 11 What is the value of 4 - (23 + (-5 - -5) + 6 + -12)? -13 Evaluate -4 - ((-2 - -2) + -1 - (26 - 34)). -11 Calculate (-2 - (-5 - 7)) + -5 + 0 + 1. 6 Evaluate 9 - (-2 + (-1 + 6 - (8 + -7))). 7 Calculate 26 + -13 + -31 + 28. 10 What is the value of 33 + -47 + -4 + 14 + -2? -6 Calculate (11 - -12 - 25) + -1 + 5. 2 What is -17 + 37 + (13 - 58)? -25 (49 - 6) + (28 - 54) 17 22 + (15 - -5 - 41) 1 -7 + 44 + (-17 - -14) 34 What is the value of -6 + (9 - 14) + -22 + (7 - 2)? -28 -5 - (-38 + 36 - (-1 + 2)) - 3 -5 -3 + 3 - 0 - ((12 - 31) + 9) 10 Evaluate 9 - (8 + -3 - ((-6 - 3) + 11)). 6 (28 + -55 - (0 - 5)) + -1 + 3 -20 (1 - (4 + -4 + -2)) + (-165 - -165) 3 What is the value of -1 + 6 - (-7 + -37 - -56)? -7 What is the value of (-2 + 0 + 6 - (-38 + 33)) + -49? -40 What is the value of (-2 - (6 - -7)) +
{ "pile_set_name": "DM Mathematics" }
16 = -s + d*s. Solve -s*c + 6*r - 18 = 3*r, 4*c + r + 10 = 0 for c. -3 Let j(q) = q**2 + 16*q + 61. Let g be j(-6). Solve -i = -3*n - 11 - g, 0 = -5*i - 2*n - 8 for i. 0 Suppose 86 = -t + 89. Solve -3*u - 4 = -3*v - 16, 5*v + 10 = t*u for u. 5 Let i(j) = -2*j - 2. Let p be i(-4). Suppose g - p*g = -15. Suppose 10 = 4*a - c, g*c + 1 = 7. Solve -21 = -3*l - 0*l - a*s, 0 = -2*l + 5*s - 7 for l. 4 Let b = -67 - -79. Suppose 15 = p + 2*p. Suppose 0 = p*t - b - 18. Solve -14 = -3*w + 5*d, 5*w + 2*d = 7 + t for w. 3 Let k(g) = -g**2 - 7*g + 3. Let f be k(-7). Solve 0*c - l - f = 2*c, c - l = 3 for c. 0 Let a be (-1)/(-1) - 3/(-1). Suppose 53 = 4*o - o - 4*y, 3*o + a*y = 37. Suppose -26 + 1 = -5*f. Solve -5*z = -o + 40, 15 = -f*l + z for l. -4 Suppose 4*t - 2*p = 12, -31*t + 34*t + 4*p = -2. Solve 3*u - 4*k = k - 5, 2 = 4*u + t*k for u. 0 Let t(m) = 13*m + 7. Let o(r) = -7*r - 4. Let b(g) = 11*o(g) + 6*t(g). Let w be b(6). Solve 0 = w*l - 5*i + 2 + 3, -16 = 2*l + 2*i for l. -5 Let c(i) = -i**3 + i. Suppose -10 = -4*f + 2*f. Suppose 5*o + 5 = 5*z, -2*z = -z + f*o + 11. Let s be c(z). Solve 2*p + 2*k = -2*p, s = 2*p - 2*k - 6 for p. 1 Let v(n) = n**2 - 20*n - 7. Let f be v(21). Suppose 6 = 5*g - 9, -z = 4*g - f. Solve j + 2*j - 14 = 5*w, z*w + 2 = 0 for j. 3 Let y = -238 + 242. Solve k - q - 15 = y*q, -k = -2*q - 6 for k. 0 Suppose -4*j - 12 - 7 = 3*y, -3*y - 2*j - 11 = 0. Let t be (-4 - (3 + -11)) + y. Solve 2*d + 5*l = 18, t - 17 = -d - 5*l for d. 4 Suppose 8 = 3*h - 4. Suppose 0 = -2*l, v + 4*v + 3*l - 35 = 0. Suppose v*j - 9*j = -32. Solve 5*r - j = 4*c, 0 = -h*r - c + 5*c + 12 for r. 4 Let o be (-3 + 22/8)/(3/(-24)). Solve -m - 12 = -5*w, 3 = -5*w - o*m + 9 for w. 2 Let s(n) = 2*n**3 + 77*n**2 - 43*n - 128. Let m be s(-39). Solve -4*c - 8 = 3*t, t - 4*c = -t + m for t. 4 Let p = -91 - -85. Let y be (-60)/(-18) - (-2)/p. Solve 0 = -3*o - y, 2*m + 2*o + 12 = 7*m for m. 2 Suppose 5*m = -806 - 129. Let s be 166/34 + (-22)/m. Solve 0 = -s*l + 5, 2*x - 2*l = -0*l - 2 for x. 0 Let s(z) = -z + 4. Let j be s(0). Let y(a) = -a**3 + 5*a**2 - 3*a - 2. Let p be y(j). Solve 3*b + 3*n = 2*n + 1, 0 = 3*b + p*n + 4 for b. 2 Let x be (165/132)/((1/(-1))/(-20)). Solve 0 = 4*j - 2*k + 20, 4*k - x = 5*j - 0*j for j. -5 Suppose 3 = 4*c - 9. Solve -3*v + q - 8 = 0, 0 = -3*v + c*q - 8*q + 22 for v. -1 Let v be -17*1 + 6/(-3). Let j = v - -28. Solve 2*n = o - 0*n + 1, 3*n = 3*o + j for o. -5 Let l = 226 + -226. Solve l = -4*r - 16, 5*d - 2*r = -7*r - 25 for d. -1 Let k = 7 - 5. Suppose -3*p + 23 = 5*w, -7*p + k*p = -4*w + 11. Solve 5*d - 2*r = 29, w*d = -0*d - 4*r + 12 for d. 5 Suppose -d + 13 = 5*p, -3*d + 10*p - 1 = 5*p. Solve d*f + c = 6*c + 11, 14 = -2*f - 2*c for f. -3 Let f be (4/(-8))/((-2)/8). Solve -f*n = 0, -4*n = 3*o - 7*o + 16 for o. 4 Let m(i) = -i**2 - 16*i - 14. Let y be m(-11). Let r = y + -30. Solve 0 = 5*s + t + r, s - 2*t - 1 = 4*s for s. -3 Suppose 0 = 2*w - 9 + 1. Let h be (0 + (-10)/(-2))/1. Suppose -2*l = 5*y - w - 51, -h*y = -5. Solve -2*z = 5*n + 18, -5*z + 7*n = 2*n - l for z. 1 Let w(m) = -m**2 - 8*m - 13. Let x(r) = 6*r + 21. Let d be x(-4). Let u be w(d). Solve -7 = 5*y + 4*t, y - 1 = -t - u for y. -3 Suppose -r - 2 = -m, -3*m - 19*r + 17*r + 16 = 0. Solve 2*f + 3*o = 13, 3*f = m*o - o - 18 for f. -1 Suppose -12*c + 138 - 42 = 0. Solve -2*g = 2*z + 8, -2*g + g = -5*z - c for z. -2 Suppose 4*d + 3*k + 143 + 341 = 0, d = 5*k - 121. Let a = -117 - d. Solve 0 = -2*x + x - 3*q - 8, -q + 12 = a*x for x. 4 Let b be ((-2)/(-4))/(-1)*0. Suppose -3*k - 2*k + 60 = b. Solve l + 4*h - k = 0, 3*l - 2 = 2*l + h for l. 4 Let f be (1 - -1)*19/(-4 + 23). Let s(y) = y**2 + 7*y + 6. Let k be s(-4). Let p = -2 - k. Solve p*j = -j - f*m - 15, 5*m = 3*j - 22 for j. -1 Let w be ((-18)/12)/((-2)/4). Suppose -12 = -w*u - 0*u. Solve u*y - 5 + 19 = k, -2*y = -5*k - 2 for y. -4 Suppose 12 = 5*r - r. Solve g = -2*g + 5*o - 6, -3*o - r = -4*g for g. 3 Suppose d - 84 = -3*c + 38, 162 = 4*c + 2*d. Let u = c - 29. Solve -4*n = p - 3*p + u, p - 3*n = 8 for p. 2 Let z = 3 + -1. Suppose 4*r - 7 = k - z*k, -2*r + 2*k = -16. Solve -r*j = 5*l + 28, 2*l + 8 = -3*j + 5*j for j. -1 Suppose -4*g = 4*r - 20, -229*r = -2*g - 226*r. Solve 3*s - 2*v = 19, 9*s - 10*s + g*v = -18 for s. 3 Let x be 156/260 - (-3)/(-5). Solve -b - 2*r = 7, x*b + r = -5*b - 17 for b. -3 Let c(s) = s + 3. Let u be c(0). Let l(b) = 2*b**2 + 4*b + 2. Let n be l(-2). Let h = n + u. Solve 2 = 5*w - 2*g - 3, 4*w = -h*g - 29 for w. -1 Let v be (-4)/6 - ((-44)/(-6))/(-2). Solve 5 = -v*p + 4*s - 3*s, 0 = -s - 4 for p. -3 Suppose 0 = 9*c - 8*c + 22. Let b be 4/c + 368/88. Solve -t = -3*o - b, 5*o + 2*t = -3*t for o. -1 Let v(c) = c**2 + 7*c + 10. Let g be v(-6). Suppose -g*t - 7 = -3*t. Let o = 9 + t. Solve -o*z + 3 = -0*z + 3*r, 3*z + 5*r - 5 = 0 for z. 0 Let c(h) = 1. Let b(g) = -2*g**2 - g - 4. Let m(q) = -b(q) - 2*c(q). Let w be m(0). Solve -r = -3*f - 6, w*r - 21 = 4*r + 5*f for r. -3 Let n(h) = 0*h + 72 + 3*h - 22 + h. Let i be n(-12). Solve -4*o + i*b - 3 = 11, 17 = -4*o + 3*b for o. -2 Let q be ((-7)/3)/(4 + 589/(-114)). Suppose 3*l - 2*l = -1. Let a be 2 + (-1 - -7 - l). Solve -4*z + a = -m, m - 3 + 6 = q*z for z. 3 Let l be (-6)/9*(-3)/1. Suppose 4*u = -58*g + 60*g + 2, -13 = -3*g - 2*u. Let j be ((-4)/(-6))/(4/24). Solve p + 31 = 5*r - g*p, -l*r - 10 = j*p for r. 3 Suppose -5*n + 3 = 28, -27 = -4*z - n. Solve -3*x - s = -0*x + z, -5*x - 20 = 3*s for x. -1 Let x = 97 + -92. Solve 5*l = 2*v + 22, -x = v - 3*l + 8 for v. -1 Let o(i) = -48*i + 1. Let c be o(0). Solve -9*h + 4*h - 1 = 3*p, p + h = -c for p. -2 Let s(u) = -u + 2*u - 3*u**2 + 8*u**2. Let z be s(-1). Solve 0 = -2*l + 4*j + 5 - 3, 2*j = -z*l - 6 for l. -1 Let i be (3 + (-42)/18)*3. Solve -u + 4 = 3*u - 4*n, n + 13 = -i*u for u. -4 Let y = 228 - 225. Solve 4*m + d = -17, 3 = -m - 2*d - y for m. -4 Let p(w) = 6*w**2 - 2*w - 4. Let h be p(2). Solve 5*z + 0*q + 5*q + 25 = 0, -4*q = h for z. -1 Suppose 0 = 131*p - p + 11*p - 1269. Let j(s) = -6*s**3 - s**2. Let b be j(-1). Solve -x - p = b*g - 22, 4*x - 12 = 0 for g. 2 Suppose 107 + 49 = 13*u. Solve -3*f - 3*d = -u, 2*f = 3*d - 4*d + 7 for f. 3 Let t be ((-15)/(-45))/(2 + (-85)/45). Solve -4*c + 18 = 3*h - 4*h, 0 = -4*h + c + t for h. 2 Suppose -3*b = -79 + 223. Let x be (-20)/(2/(-3) - (-20)/15). Let h = x - b. Solve -2*s - 3*f = -4, 0 = 4*s - 4*f + 14 + h for s. -4 Suppose t = 3*f - 5, -2 = -f + 2*t + 8. Solve k = -3*g + 15, -10 = -f*k - 2*k - 2*g for k. 0 Suppose 2 = k - 15*x + 18*x, 4*x + 24 = 4*k. Solve -h + 12 = 2*h + o, k*o - 5 = -4*h for h. 5 Suppose 2*x + 0*x = 4. Suppose x*r + 3*r - 10 = 0. Let m(j) = 64*j + 706. Let t be m(-11). Solve t*k - 3*i = 5, 5*k - r*i - 17 = i for k. 4 Let u be (-1 - -2) + 3 + (11 - 12). Let b = -12 - -9. Let y be 1/(1/(-9)*b). Solve -5*x + 2*o + 13 = u*o, 3*o - 3 = y*x for x. 2 Suppose 4*r = -q + 10, 5*q + 0*q - 2 = -4*r. Let p be r + (-3 + 3 - -2). Let z(y) = y**2 - 4*y. Let a be z(p). Solve a*b + 4*v = -4, 4 = v + 5 for b. 0 Suppose 4*f = -2*i + 12, f - 5*f = -5*i - 12. Solve 4*v = -m - 8, -m + 5 = -4*v - f for m. 0 Let t(m) = 14*m + 70. Suppose -5*n - 6*i = -i + 40, 3*i = -5*n - 34. Let d be t(n). Solve -4*s + z - 6 = -5*s, -5*s - 4*z + 29 = d for s. 5 Let k = -683 + 695. Solve -4*q = 5*z - k - 29, 5*z - 25 = 0 for q. 4 Let y be ((-4)/(-2) - 3)*(-1 - 4). Solve -5*h + 30 = -y*f, 3*f = -15 + 3 for h. 2 Let x = 36 - 54. Let n = -16 - x. Solve -v = y - 0 - 2, n*y = -2 for v. 3 Let w = -10 + 14. Let l = 0 + 0. Suppose 7*q + 86 = 121. Solve 0 = -q*g - 0*g - w*z + 13, l = 5*g + 2*z - 19 for g. 5 Suppose 15 - 5 = 5*u. Solve -2*r + u = -3*z - 4, 2*r + 3*z = -18 for r. -3 Let t = -126 + 129. Solve 5*o - 5*b - 20 = 0, -2*o + t*b = -11 - 1 for o. 0 Let i(g) = -g**3 + 13*g**2 + 3*g - 19. Let n be i(13). Let f = n + -18. Solve -19 = -3*s - 2*o, 0 = -f*s - 2*s + 5*o + 10 for s. 5 Suppose 2*b = -6, 4*b + 24 = j + j. Suppose -5*p + 9*z - 3 = j*z, 0 = -3*p - 5*z + 5. Suppose 0*h = 4*h - 16. Solve h*o + o + 3*d = -6, p = -2*d + 6 for o. -3 Let u = -13 - -17. Suppose -u*m - 11 = -5*a + 7, -4*m - 16 = -4*a. Let f be (-6)/4 + (-11)/m. Solve 0 = -5*x + 3*r + 10, -f*x + 3*r + 16 = -5*x for x. -1 Suppose -4*c + 5 = -3. Let x be 4/(-18) + 26/117. Suppose -4*b + 5*b - 15 = x. Solve 5*j + 3 =
{ "pile_set_name": "DM Mathematics" }
In base 3, what is -21200 - -2021? -12102 In base 9, what is 0 - -24? 24 In base 9, what is -844 - 5? -850 In base 2, what is 100 - 0? 100 In base 9, what is -3 - -174? 171 In base 5, what is -1 + 33023? 33022 In base 3, what is -22 - -21021? 20222 In base 4, what is -23102 + -21? -23123 In base 15, what is -d - -2? -b In base 8, what is 5 - -207? 214 In base 11, what is 69 - -25? 93 In base 3, what is 2 - 110? -101 In base 6, what is -522 + 1? -521 In base 16, what is -8a - -3? -87 In base 13, what is 57 - -3? 5a In base 2, what is 1 - 1000001011? -1000001010 In base 5, what is 43 + 113? 211 In base 9, what is 34 - 63? -28 In base 4, what is -30 + 110? 20 In base 12, what is -8 + 262? 256 In base 8, what is -4 - -252? 246 In base 12, what is -13 - 33? -46 In base 9, what is -2 + 222? 220 In base 13, what is -26 + -42? -68 In base 8, what is 10 + 33? 43 In base 15, what is 1c0 + -30? 190 In base 4, what is 120 - -132? 312 In base 10, what is 0 + 1073? 1073 In base 16, what is -2 + 26? 24 In base 13, what is -8 + 6a? 62 In base 13, what is 4 - 13? -c In base 6, what is -1 + 21532? 21531 In base 6, what is 20 - 1013? -553 In base 11, what is -4 + 36a8? 36a4 In base 6, what is 13 - 115? -102 In base 12, what is -1 + -901? -902 In base 4, what is -10 - 32? -102 In base 16, what is 48 - 3? 45 In base 14, what is 3 - -4d0? 4d3 In base 2, what is -1 + 1000000? 111111 In base 10, what is 48 + -4? 44 In base 14, what is 9 + -1367? -135c In base 8, what is 513 - -5? 520 In base 14, what is -1382 - 5? -1387 In base 12, what is -3a - -3? -37 In base 15, what is -a - 3d? -48 In base 10, what is 9 - -150? 159 In base 3, what is 101010120 + -12? 101010101 In base 14, what is -b5 + 2? -b3 In base 7, what is -6 - 144? -153 In base 2, what is -10100011 - 101? -10101000 In base 5, what is 30 - -21? 101 In base 13, what is -39 - 5? -41 In base 9, what is -4 - -36? 32 In base 15, what is 9 + 1? a In base 13, what is -322 - -1? -321 In base 13, what is -27 - -4? -23 In base 4, what is -1012200 - 10? -1012210 In base 6, what is 4 - 104? -100 In base 13, what is -1 - -315? 314 In base 8, what is 1412 + 3? 1415 In base 8, what is 3 + -10? -5 In base 12, what is 5 - -14? 19 In base 6, what is -34 - 1432? -1510 In base 4, what is 13100 + 2? 13102 In base 16, what is -201 - -4? -1fd In base 2, what is -110100100000 + -1? -110100100001 In base 12, what is 50 + -1? 4b In base 11, what is 4 + -90? -87 In base 2, what is 11 - -1000011110011? 1000011110110 In base 5, what is 11 - -144? 210 In base 4, what is -33 - 133? -232 In base 16, what is -1 + -50f? -510 In base 7, what is 3 - -256? 262 In base 16, what is -3 - 1447? -144a In base 16, what is 26 - -30? 56 In base 10, what is -85 + -4? -89 In base 2, what is 1101111 - 101? 1101010 In base 5, what is -2 - -12? 10 In base 12, what is 1 - -212? 213 In base 11, what is -25 - -13? -12 In base 13, what is 471 + -1? 470 In base 4, what is -11131 + -30? -11221 In base 9, what is 80 - 3? 76 In base 14, what is 9 - 42c? -423 In base 16, what is -c5d - 5? -c62 In base 15, what is -2 - -2cd? 2cb In base 9, what is -6 + -28? -35 In base 14, what is 2 + b39? b3b In base 12, what is 3 - 57? -54 In base 11, what is 0 + -277? -277 In base 16, what is 148 - -9? 151 In base 8, what is 5 + 37? 44 In base 10, what is 24 + -5? 19 In base 3, what is 12 + 11012? 11101 In base 5, what is 420 - 3? 412 In base 12, what is -651 - 0? -651 In base 14, what is 79 + -8? 71 In base 11, what is -31 - -56? 25 In base 2, what is -1010 + 0? -1010 In base 3, what is 22110 + -1? 22102 In base 13, what is -c2 - 6? -c8 In base 14, what is 8 - 22? -18 In base 14, what is 1 - 448? -447 In base 8, what is -600 + -2? -602 In base 2, what is -1000 - 1010010000? -1010011000 In base 10, what is 0 + -51? -51 In base 2, what is -100 + 110101111? 110101011 In base 12, what is -4 - -5a? 56 In base 14, what is -c1 + 2? -bd In base 13, what is -1282 - 1? -1283 In base 2, what is 10101 - -111100111? 111111100 In base 14, what is -24d2 - -1? -24d1 In base 15, what is -a0 + 7? -98 In base 13, what is c1 - -1? c2 In base 10, what is -18 - 25? -43 In base 10, what is -20 - 6? -26 In base 4, what is 32 + 12120? 12212 In base 16, what is -2 - -28c? 28a In base 11, what is a2 + 0? a2 In base 7, what is -3 - 1220? -1223 In base 6, what is -1 - 252? -253 In base 2, what is 1000 - -100000010001? 100000011001 In base 8, what is -3425 + -4? -3431 In base 7, what is 1 - -12133? 12134 In base 7, what is 6 - -16? 25 In base 5, what is 1002 - -13? 1020 In base 16, what is 31 + 6? 37 In base 9, what is 2 + -104? -102 In base 13, what is 61a - a? 610 In base 7, what is 30 - 23? 4 In base 9, what is -24247 + 3? -24244 In base 14, what is 0 + -162? -162 In base 8, what is 711 + -4? 705 In base 10, what is 91 - 3? 88 In base 16, what is -12a + -5? -12f In base 15, what is 1 - -16d? 16e In base 12, what is 1 + -35? -34 In base 12, what is 3 - 29a8? -29a5 In base 9, what is -1 + -148? -150 In base 15, what is 5 + 5? a In base 10, what is -5256 - 2? -5258 In base 16, what is -3b + 4b? 10 In base 9, what is 166 - 5? 161 In base 13, what is -6 + -11? -17 In base 7, what is -4 + -3? -10 In base 11, what is -65 + a? -56 In base 5, what is 10 + 40? 100 In base 12, what is -5 + -746? -74b In base 16, what is 343 - -3? 346 In base 7, what is -3 + 50? 44 In base 12, what is -36 + -13? -49 In base 6, what is 1 - -10012? 10013 In base 7, what is 23460 + -4? 23453 In base 16, what is 2 + -664? -662 In base 12, what is -4 - -333? 32b In base 3, what is -1222 + -2? -2001 In base 16, what is -3 + 21a? 217 In base 3, what is -2 + 10022? 10020 In base 5, what is -213333 + -4? -213342 In base 11, what is -4 - 547? -550 In base 11, what is -26 - -138? 112 In base 15, what is -870 - -8? -867 In base 8, what is -1404 - -2? -1402 In base 9, what is 17322 - 4? 17317 In base 8, what is -3172 - 2? -3174 In base 3, what is -122 + -1011? -1210 In base 7, what is 2 - 2510? -2505 In base 9, what is 87 - -7? 105 In base 4, what is -2 - 10? -12 In base 12, what is -3a59 - -2? -3a57 In base 6, what is 5 + 124? 133 In base 2, what is -111011 + -1101? -1001000 In base 16, what is 8d + -5? 88 In base 15, what is 0 + 48? 48 In base 2, what is -1011000 + 1010000? -1000 In base 9, what is -540 + -5? -545 In base 8, what is -5 - 106? -113 In base 5, what is 100 - -3? 103 In base 10, what is 63 - -6? 69 In base 8, what is 4 + -122? -116 In base 13, what is -14c - -14? -138 In base 11, what is 113 + 0? 113 In base 9, what is -30 + 7? -22 In base 11, what is 77 + -5? 72 In base 3, what is 21222 + -21? 21201 In base 2, what is 11 + 111111? 1000010 In base 10, what is 16 - 479? -463 In base 6, what is -2331 - -15? -2312 In base 13, what is -5 + 134? 12c In base 8, what is 3 + 253? 256 In base 15, what is 37b7 - -4? 37bb In base 2, what is -1010 + 101101? 100011 In base 16, what is -a + d? 3 In base 9, what is -178 + 0? -178 In base 7, what is -455 + 0? -455 In base 6, what is -30 - 10444? -10514 In base 11, what is -3 + 328? 325 In base 10, what is 4 - -771? 775 In base 13, what is 4 + -129? -125 In base 16, what is 0 + -23? -23 In base 11, what is -4 - -841? 838 In base 14, what is -4a - -4? -46 In base 3, what is 1200122 + 0? 1200122 In base 6, what is 0 + 124? 124 In base 8, what is -6776 - -3? -6773 In base 13, what is 4742 - 4? 473b In base 15, what is -1a7 - 7? -1ae In base 2, what is -1001000111 - -10100? -1000110011 In base 16, what is 13e + 2? 140 In base 9, what is -278 - -14? -264 In base 8, what is 2 - 11? -7 In base 2, what is -101000011 - 11? -101000110 In base 6, what is 5515 + 4? 5523 In base 5, what is 1 + 2200? 2201 In base 3, what is -2002222 - -2? -2002220 In base 3, what is -1202201 - -10? -1202121 In base 2, what is -1 - 111101000? -111101001 In base 14, what is -7 + -27? -30 In base 13, what is -111 - 0? -111 In base 9, what is 6 + 17? 24 In base 9, what is -2633 + -5? -2638 In base 2, what is 1111 + -11? 1100 In base 3, what is 2121 - 102? 2012 In base 10, what is 1 - 316? -315 In base 7, what is -4 - 50? -54 In base 6, what is -3 - -1055? 1052 In base 13, what is 7849 + -3? 7846 In base 13, what is 43 + -95? -52 In base 15, what is a9a - 3? a97 In base 4, what is -1 - 2113220? -2113221 In base 11, what is 2 - 3
{ "pile_set_name": "DM Mathematics" }
). 6*h**3 Expand -22*p - 340 + 340 + (-3 - 1 + 6)*(p - p - p). -24*p Expand (-3*v - 11*v + 7*v)*(3*v - 2*v + 0*v)*(-6 + 82 - 48)*(2 - 5 + 1). 392*v**2 Expand -3 + 3 - p**2 + (4*p + 0*p - 5*p)*(4*p - 3*p + p) + p**2 - p**2 - p**2 + 11 - 2*p**2 - 69*p + 28 + 68*p + p**2 + p**2 - p**2. -5*p**2 - p + 39 Expand (794*z**2 - 1022*z**2 + 542*z**2)*(-2*z**2 - 4 + 4) - 3*z**4 - z**4 + 6*z**4. -626*z**4 Expand (3*h + 2*h - 4*h + (-2*h - 3*h + 7*h)*(3 - 1 + 5))*(4*h - 6*h + h) + 10*h**2 + 2*h - h + 6*h**2. h**2 + h Expand (0*g**2 - 3*g**2 + 5*g**2 + (-1 - 1 + 0)*(-g + 2*g**2 + g) + 4*g**2 - 2*g**2 - 3*g**2 + 0*g**2 - 68*g + g**2 + 67*g)*(-4*g + 4*g - 2*g) - 2*g**3 + 0 + 0. 2*g**3 + 2*g**2 Expand (p - p + 2*p**3)*(22*p - 33*p + 27 + 14*p). 6*p**4 + 54*p**3 Expand (-2*y**2 + 2 - 15*y + 14*y - 4)*(-9*y - 10*y - 6*y). 50*y**3 + 25*y**2 + 50*y Expand (3*m**2 - 2*m**2 + m**2)*(-392*m - 199 + 199). -784*m**3 Expand (-2*l**3 - 2*l**3 + 6*l**3 + (2*l**2 + 3*l**2 - 3*l**2)*(0 + 0 + 2*l))*(2*l + 4*l - 5*l)*(-11 - 11 - 11). -198*l**4 Expand (3*k**3 - 26*k**3 + 3*k**3)*(4 - 7 + 1 + (-4 - 1 + 2)*(-2 + 0 + 0)*(1 - 3 + 1))*(k - 4*k + 5*k). 320*k**4 Expand (0*b**2 - 37*b + 39*b + 7*b**2)*(7*b + 7*b - 2*b). 84*b**3 + 24*b**2 Expand 3*z + 3*z - 2*z + (-3 + 4 + 0)*(-3*z + z + 0*z + (1 - 3 + 1)*(-2*z - z + 4*z)) + 6*z + 1 - 1. 7*z Expand -24*d**2 - 21*d**2 + 12*d**2 + (2 + 0 + 0)*(2*d**2 - 4*d**2 + d**2) - 1 + 1 - 3*d**2. -38*d**2 Expand -3*t**2 + 2*t**3 + 3*t**2 + (2*t**2 - 2*t**2 + 2*t**2)*(-3*t - 7 + 7) + t**3 - 2*t**3 + 2*t**3. -3*t**3 Expand (0*l + l + l)*(l - l + 2*l**3) + l**4 + 0 + 0 + 0*l**2 + 0*l**2 - 2*l**4 + 0*l**4 - 3*l**4 + 5*l**4 - 1364*l**4 + 1343*l**4 + 3*l**3 + 4*l**3. -16*l**4 + 7*l**3 Expand (9 + 3 - 15)*(0*n - 2*n + 4*n)*(-3 + 2*n - 2 + 3). -12*n**2 + 12*n Expand (-y + y + 4*y**2)*(25*y + 1 - 3*y**3 - 54*y + 18*y). -12*y**5 - 44*y**3 + 4*y**2 Expand (2 + h**2 - 2)*(-48 - 9 + 15) + 3 - 3*h**2 - 3 + (0*h + 5*h - 3*h)*(h - 4*h + h). -49*h**2 Expand (0 + 0 + 2*a)*(-4*a + 9*a - 34*a). -58*a**2 Expand (2*j**2 + 5 - 5)*(811 - 192 + 104). 1446*j**2 Expand (-1 + 5*n + 1)*(-3 + 2 - 2) + 5*n - 4*n - 2*n + (-5*n + 0*n + 2*n)*(2 + 1 + 0). -25*n Expand (-13*y**2 - 18*y**2 - 21*y**2)*(0*y**3 - 4*y**3 + 3*y**3) + y**5 - 4*y**5 + y**5. 50*y**5 Expand (-1845 - 31*q + 1845)*(3*q**3 - 3*q**3 - 3*q**4). 93*q**5 Expand (1679*w**2 - 1651*w**2 - 1291*w**2)*(5 - 5 + 2*w**2) + (1 - 2*w - 1)*(-w**3 + 5*w**3 - 2*w**3). -2530*w**4 Expand (-2*k**2 - 2*k**2 + 2*k**2)*(0*k - 2*k + k) - 3*k**3 + 4*k**3 + 2*k**3 + (3*k - 2*k**3 - 3*k)*(6 - 4 - 1) - 13*k**3 + 30*k**3 + 22*k**3 + 4 - 2*k**3 - 4. 40*k**3 Expand (-r**2 - 3 + 3)*(32 - 39*r + 125*r - 79*r). -7*r**3 - 32*r**2 Expand (-26 - 37 + 20)*((m + 4*m - 3*m)*(0 + 0 - 4) - m + m - 2*m). 430*m Expand (n + 2*n - n)*(5*n + 0*n - 4*n) + 4*n**2 - 4*n**2 + 3*n**2 + 0*n**2 - 13*n**2 - 15*n**2. -23*n**2 Expand (4*b**3 - 4*b**3 - 2*b**3)*(-10*b**2 - 40*b**2 + b + 0*b + 2). 100*b**5 - 2*b**4 - 4*b**3 Expand (2*p - 3*p + 2*p + p**3)*(-391 + 391 + 52*p). 52*p**4 + 52*p**2 Expand (-l + 2*l + 0*l)*((2*l - l + 0*l)*(2 - 1 + 1) + 0*l - l + 3*l + 2 - 3*l - 2 + 1 - 5*l - 1 + l - 3*l - l + (-2 + l + 2)*(1 + 0 + 0) - 4*l - 4*l + 2*l). -12*l**2 Expand (g**5 + 3*g**5 - 2*g**5)*(-2 + 5 - 1) + 19 + 10*g**5 - 19 + (-g**4 - g**4 - 3*g**4)*(g - g - 2*g). 24*g**5 Expand (3*s - 5*s + 0*s)*(s + 4 - 4 + s - s + 2*s + (0 - 5 + 3)*(3*s - 2*s - 3*s) + 11*s + 34*s - 6*s). -92*s**2 Expand (3*s - 3*s**2 - 3*s + (-3*s + 4 - 4)*(2*s + 2*s - 6*s) + (0*s - s + 0*s + (-s + 6*s - 4*s)*(-1 - 1 + 0))*(-2*s + 0 + 0))*(-19*s**2 + 49 - 49). -171*s**4 Expand 4*y**3 - 2*y**3 - 4*y**3 + (1 - 1 + 2*y)*(0*y + 0*y - 2*y**2) + 1000*y**2 + 3*y**3 - 1000*y**2. -3*y**3 Expand (0*w - 3*w + w + (3 + 0 - 4)*(3*w + w - 3*w))*(4 - 1 - 2). -3*w Expand (-10*g - g - 3*g)*(-g - 3*g + 3*g + (-2*g + 1 - 1)*(-3 + 4 + 0) + g + 0*g - 2*g + 1 - 1 + 3*g + (1 + 2 - 2)*(0*g - 8*g - g) - 3*g - g + 5*g). 126*g**2 Expand (0*m + 0*m + m**2)*(0*m - 2*m**2 + 0*m) + (3*m - m - 3*m)*(15*m**3 - 95*m**3 - 4*m**3). 82*m**4 Expand (-o**2 - 2*o + 2*o)*(-5*o + 2*o + 2*o) - 15*o + 15*o + 6*o**3 + 0*o + 0*o - 3*o**3 - 3*o**3 + 0*o**3 + 4*o**3 + (-3*o + o + 4*o)*(-3*o**2 - 1 + 1). -o**3 Expand (0 + 1 + 1)*(-4*m + 7*m - 15*m)*(-4 + m + 4). -24*m**2 Expand (2 + f + f + f)*(-588*f + 14*f**4 + 1 + 588*f). 42*f**5 + 28*f**4 + 3*f + 2 Expand -14*u**5 - 316 + 316 + (-1 + 7 - 4)*(11*u**3 - 11*u**3 - 5*u**5). -24*u**5 Expand (2*j + 0 + 0)*(-8 - 3 - 9) + 7*j + 7 - 7. -33*j Expand (-60*b + 0 + 58*b - 4)*(-2*b + 2 - 2). 4*b**2 + 8*b Expand (18988 - 18988 - 68*v)*(2*v**2 + 0*v**2 - 4*v**2 + (-2 - 4 + 5)*(v**2 - 2*v + 2*v)). 204*v**3 Expand (2*i**2 - 3*i**2 + 2*i**2 + (-i**2 + 4 - 4)*(-3 + 7 - 2) - 3*i**2 - i + i)*(-36*i**2 - 2*i**3 - 1946*i + 1946*i). 8*i**5 + 144*i**4 Expand (2 + 3 - 4)*(-2*a + 27*a + 1 + 15*a)*(-2*a**2 - a**2 + 5*a**2). 80*a**3 + 2*a**2 Expand (-4*u**3 - 4*u**3 + 6*u**3)*(0*u - 7*u - 15*u + (-1 - 1 + 4)*(u + u + 0*u) + u + 0*u - 2*u). 38*u**4 Expand (8*c + 10*c - 16*c)*(-18 + 11 + 5). -4*c Expand (-4*k - 2*k + 4*k)*((2*k - 3*k + 4*k)*(-1 - 3 + 2) + (-3 + 2 - 4)*(-2*k + 2*k - 3*k)). -18*k**2 Expand ((0 + 2 + 0)*(-2*p - 2*p + 5*p) + 210*p + 14*p - 1 - 482*p)*(-2 + 0 + 1)*(-5*p**2 + p**2 + 2*p**2). -512*p**3 - 2*p**2 Expand (-5 - x + 5)*(-42 - 60 + 78). 24*x Expand (-1 + 3 + 0)*(-t - 3*t - 2 + 7*t)*(-24 + 48 + 62). 516*t - 344 Expand (-3 - 2 + 6)*((0 + 1 + 1)*(-40*o**2 - 17*o**2 + 14*o**2) + (-o + 2*o - 3*o)*(o + 4 - 4)). -88*o**2 Expand (-r + 5*r - r)*(53*r + 8*r - 10*r - 2). 153*r**2 - 6*r Expand (1 - 1 + 2*v**3)*(5*v - 2*v + 5*v) + v**4 + 0*v**4 - 2*v**4. 15*v**4 Expand (1 + 6*h - 12*h + 6)*(5*h**4 - h**4 - h**4). -18*h**5 + 21*h**4 Expand -3*t**5 + 0*t**5 + 6*t**5 - 3*t**5 + 4*t**5 + t**5 + (5 + t - 5)*(-2*t**2 - 3*t**4 + 2*t**2). 2*t**5 Expand (-2*p + 2*p - 2*p)*(12 - 14 + 35)*(10*p**2 + 8*p**2 - 6*p**2). -792*p**3 Expand (-2*p + 4*p - p + (-3 + 1 + 3)*(0 + p + 0) + 2*p - 2*p + 2*p + p + p + 0*p + p + p - 3*p)*(-7*p + 69*p - 21*p)*(-2*p + p**2 + 2*p). 205*p**4 Expand (-p + 2*p - 3*p)*(-3 + 18 - 9)*(-3 - 3 + 3). 36*p Expand (1 - 1 + 2*k + (0*k + 3*k - 4*k)*(4 - 1 - 4) + 2*k - k + k + (1 + 0 - 2)*(-4*k + 4*k + k) + 2*k + 9*k - 3*k)*(2 + 2 - 5)*(-2 + 5 - 1). -24*k Expand (3*h - h - 3*h)*(2*h + 6*h + 0*h) - 2*h - 17*h**2 + 2*h. -25*h**2 Expand (-40 + 40 - 12*m**3)*(-2*m**2 + m**2 - m**2) - 263*m**2 + 263*m**2 + 64*m**5 + (2*m**4 - 2*m**5 - 2*m**4)*(0 + 0 - 1) + 2*m**5 + 4*m**5 - 5*m**5. 91*m**5 Expand (2*i**2 - 4*i**2 - i**2)*(-6*i - 1 + 1) + i**3 - 6*i**3 + i**3 + 4*i**3 - 2*i**3 + 2*i**3. 18*i**3 Expand (-u**2 - 2*u + 2*u)*(-232*u**3 + 5 - 5). 232*u**5 Expand -12*b + 5 - 5 + (-2 - 2 + 1)*(3*b - 2*b + b) - 2*b + 1 - 1 + (-2*b + 2*b - b)*(0 + 0 + 2). -22*b Expand (5*c**3 + 0*c**3 - 3*c**3)*(48*c - 59159 + 59159)*(-c - 5*c + 4*c). -192*c**5 Expand y**4 - y**4 - 3*y**4 + (y**2 - y**2 + y**2)*(-19*y**2 + 9*y**2 - 12*y**2). -25*y**4 Expand 4 - 2*n - 4 + (2*n + 3*n - 3*n)*(2 + 0 - 3) + (-93*n - 86*n + 165*n)*(0 + 0 - 1). 10*n Expand (28536*m**2 - 28536*m**2 + 4*m**4 + m**3 - m**3 - m**4 - 5*m**4 + 5*m**4 + m**4 + (-4*m**4 + 4*m**4 - m**4)*(-3 + 0 + 2))*(-3 + 4 - 4). -15*m**4 Expand 5*m**4 - 2*m**4 + 0*m**4 + 46*m + 8*m**4 - 46*m + (m**4 - 3*m**4 + 0*m**4)*(1 + 4 - 2). 5*m**4 Expand (6*w**3 + 0*w**3 + 0*w**3)*(-793*w - 2973 + 2973). -4758*w**4 Expand (2*v + 2 - 2)*(13 + 2 + 17). 64*v Expand 6*k**3 - 5*k**3 + 5*k**3 - 3*k + k**3 + 3*k + (0 - 4 + 2)*(4*k**3 + 5 - 5). -k**3 Expand (-2*o**2 + 1 - 1)*(0*o - 4*o + 3*o) + (-5*o**2 + 2*o**2 + 0*o**2)*(o + 0 + 0) - o + o - 4*o**3. -5*o**3 Expand (f + 2*f**2 - f + (3*f + 0*f - 2*f)*(-3*f + 6*f - f) + 24*f**2 - 13*f**2 - 4*f**2)*(3 - 3 + 2). 22*f**2 Expand (10*t**4 - 63945 + 63945)*(-3 + 2 + 4). 30*t**4 Expand (3 - 3 + 2)*(3*i**2 + 2*i**2 - 3*i**2) + 5*i**2 - 21*i - 2*i**2 + 45*i. 7*i**2 + 24*i Expand (15 - 42 - 37)*(1 - 2 - 3)*(-4*r**4 + r**4 + r**4). -512*r**4 Expand (-5 + 5 - 1)*(-19*m + 3 + 5*m + 9*m**3 + 12*m). -9*m**3 + 2*m - 3 Expand (9 - 50 - 2*y + 21)*(-4 - 40*y + 3 + 28*y). 24*y**2 + 242*y + 20 Expand (3*l - l - 5*l + (-3 + 5 - 4)*(-1 + 2*l + 1))*(20 - 105 - 18). 721*l Expand (-3*m**3 + 2*m**3 + 4*m**3)*(0*m**2 + 0*m**2 - 2*m**2) + 35*m**5 + 9666*m - 9666*m. 29*m**5 Expand (-198
{ "pile_set_name": "DM Mathematics" }
alculate f(k). -10 Let g(v) = -v**3 - 24*v**2 - 4*v - 2. Let x(u) = -u**3 - 21*u**2 - 3*u - 3. Let k(w) = 4*g(w) - 5*x(w). What is k(-9)? 16 Let z(r) = -8*r**3 - 75 + 8*r**2 + 158 - 82 - 11*r**2 + 3*r. What is z(-2)? 47 Let i(n) = 9905 - 29731 - n + 9908 + 9874. Give i(-33). -11 Let f(q) = -4*q**2 + 9*q + 2 - 4*q + 3*q**2. Let t(o) = -o**3 + 10*o**2 + 5. Let r be -6 - -10 - -10 - 4. Let a be t(r). Calculate f(a). 2 Suppose -3*u + 12 = -u. Let j(y) be the third derivative of y**4/8 - 5*y**3/6 - 4*y**2 - 3*y + 2. Calculate j(u). 13 Suppose -92 = -87*p + 333 + 10. Let c(o) = -4*o**2 - o + 11. Let s(l) = -3*l**2 - 2*l + 10. Let x(u) = 4*c(u) - 5*s(u). Calculate x(p). -1 Suppose -24 = -18*w + 14*w. Let x be w*2*(8 + -7). Let c(o) = o**3 - 11*o**2 - 14*o + 15. Calculate c(x). -9 Let f(i) = i**2 - i + 5. Let z(s) = 2*s**2 - 3*s - 15. Let w(n) = -f(n) - z(n). What is w(5)? -45 Let s(t) = -2*t + 8. Let j be s(6). Let m(k) = -3*k + 20. Let a(h) = -2*h + 9. Let g(v) = 7*a(v) - 3*m(v). Determine g(j). 23 Let j(z) = -z**2 - 2*z - 2. Let m(w) = -2*w**2 - 13*w - 5. Let p(t) = 3*j(t) - m(t). What is p(10)? -31 Let b(o) = -21*o**2 + o. Suppose 2*l + 2*l = -3*i + 2, -3*l + 4*i + 14 = 0. Let s be 8/l - (-10)/(40/(-12)). Give b(s). -20 Let w(v) = -v**2 - 3*v + 4. Let z = -1184 + 772. Let y = z + 407. Calculate w(y). -6 Let n(i) = -57*i**2 + 51*i + 356. Let w(c) = -128*c**2 + 115*c + 791. Let r(h) = -20*n(h) + 9*w(h). What is r(3)? -64 Let q(i) = 3*i**3 - i**2 - 2*i - 1. Let p(n) = 221*n - 98. Let x be p(-2). Let o = -538 - x. What is q(o)? 15 Let y(c) = c + 7. Let f = -160 + 169. What is y(f)? 16 Let j = -1606 + 1616. Let p(i) = i**3 - 10*i**2 + i - 9. What is p(j)? 1 Let a = -18 + 13. Let y(c) be the first derivative of c**4/4 + 5*c**3/3 + c**2 + 6*c + 1176. Calculate y(a). -4 Let n(m) = 44*m - 201*m + m**2 + 16 + 49*m + 54*m + 40*m. Calculate n(12). -8 Let l(t) = -t**3 - t**2 + 22*t + 8. Let x be l(0). Let v(j) = -10*j + 81. What is v(x)? 1 Let r(j) = 77 - 6 + 3*j + 26 - 217. Calculate r(42). 6 Suppose 11*b = b + 20. Let r(m) = 0 - 2 + b + 3*m + 4 - 1. What is r(-2)? -3 Let j(x) = 7*x + 1. Suppose 0 = -27*c + 9*c - 4914. Let u be c/49 + 8/14. Calculate j(u). -34 Suppose -206 = 5*d - 146. Let o(m) = -m**2 - 9*m + 29. Calculate o(d). -7 Let s(b) be the second derivative of -b**4/12 - 2*b**3/3 + b. Let m = -818 - -411. Let t = 402 + m. Determine s(t). -5 Suppose -t + 18 = p, -3*t - t + 56 = -4*p. Let l(k) = -66 - k + 2*k**2 + 32 + t*k**3 + 34. Suppose -15 = 3*x, 2*d + 2*x + 3 = -5. Calculate l(d). 17 Suppose 2*w = 2*v + 2, 38 - 22 = 2*v + 4*w. Let n(k) = 12*k**2 + 11 - k**3 - 3*k - 15*k**2 - 3*k**v. Calculate n(-5). 1 Let c = 4649 - 4653. Let h(y) = -5*y + 2*y - 3*y + 12*y. Give h(c). -24 Let a(t) be the first derivative of 2*t**3/3 + 15*t**2/2 + 10*t + 1649. Give a(-7). 3 Suppose -86*d + 84*d - 2 = 0. Let p(q) = 17*q + 18*q - 45*q. Determine p(d). 10 Let k(n) = -65*n + 28*n - 5 + 36*n. Let z(j) = -2*j**3 - 66*j**2 - 60*j + 128. Let g be z(-32). Give k(g). -5 Let h(r) = r**2 - 6*r + 3. Let n = -171 + 163. Let a be (20/n)/((-1)/2). Determine h(a). -2 Let f(z) be the second derivative of -5*z**4/12 - z**2/2 - z. Suppose 0*g - 18*g = -72. Suppose 5 = 4*r + 3*d + 1, -3*d = -g*r + 4. Give f(r). -6 Let r(n) = -3*n**3 - 8*n**2 + 15. Let k(l) = 7*l**3 + 14*l**2 + l - 29. Let t(d) = 2*k(d) + 5*r(d). Let m be t(-12). Let i(z) = z**2 + 8*z + 8. What is i(m)? 1 Let j(k) = -13*k - 41 + 8*k**2 - 17*k**2 + 8*k**2. Let b be j(-7). Let x(o) = -2*o**2 - o + 1. Determine x(b). -2 Let v(q) be the third derivative of q**6/120 - q**5/20 - 25*q**4/24 - 23*q**3/6 + 1765*q**2 - 2. What is v(7)? -2 Let t(k) = k**2 + 11*k - 24. Let o be (-4 + 5)*-33*1/3. What is t(o)? -24 Let w(r) be the first derivative of -7*r**3/3 + 2*r**2 + 1008. Calculate w(-3). -75 Suppose -n - 3 = 0, 4*n - 15 = 4*k - 23. Let l(x) = 9*x**2 + 6*x + 5. What is l(k)? 8 Let p be 0 + 17/((-68)/20). Let y(x) = x**3 + 3*x**2 - 4*x + 5. What is y(p)? -25 Let o(m) = 3*m**2 + 13*m - 106. Let j(y) = -3*y**2 - 14*y + 71. Let w(x) = 3*j(x) + 2*o(x). What is w(-10)? -139 Let l(d) = -2*d**2 + d + 6. Let o be (-58)/20 - (-232)/(-2320). What is l(o)? -15 Let s(n) = 71*n**2 - 69*n**2 + 16 - 79*n**2 + 75*n**2 - 75*n + 29. Calculate s(-38). 7 Let y(g) = 5*g - 25. Let j(m) = 156*m - 11071. Let k be j(71). Determine y(k). 0 Let d(h) = -h**3 + 47*h**2 - 45*h - 45. Let c be d(46). Let x(r) = 9*r - 2 + 1 - 7*r - 1 + 7*r**2. What is x(c)? 7 Let a(h) = -79*h - 7. Let g be a(-1). Suppose -48 = -10*p + g. Let u(c) = -c**2 + 12*c + 4. Give u(p). 4 Let a(o) = 2*o**2 + 3*o + 3. Let p = 49 - 46. Suppose 4*x + c = -2*c + 32, p*x + 2*c - 25 = 0. Suppose -q + 8 = x. Give a(q). 12 Let h(c) = c**3 - 42*c**2 + 37*c + 164. Let d be 9/(-27) - 372/(-9). Let s be h(d). Let l(z) = -z - z**2 - 6 + 1 - 6. Give l(s). -11 Let g(s) = s**3 - 8*s**2 - 6*s + 6. Let a(j) = -j**2 + j + 350. Let i be a(-18). Calculate g(i). -42 Suppose -v - 9*v = -30. Let i(k) = 3*k**v + 1 - k + 2*k - 4 - 4*k. Let l = 119 + -121. Calculate i(l). -21 Let u = 21389 - 21381. Let s(o) = -o**2 + 14*o + 4. What is s(u)? 52 Let z(s) = 127*s - 158. Let f(v) = -177*v + 221. Let m(b) = 13*f(b) + 18*z(b). What is m(-3)? 74 Suppose 21*x - 24 = 18. Let g(z) = 32*z**2 - 10*z - 4. Let k(n) = -10*n**2 + 3*n + 1. Let j(m) = x*g(m) + 7*k(m). Determine j(-2). -27 Let a = -305 + 344. Let v(l) = 28 - 128 + a + 35 + l + 34. Calculate v(-7). 1 Let x(i) = i**3 - 5*i**2 + 4*i + 5. Suppose -3*l - 4*n - 28 = -l, -5*n - 50 = 4*l. Let h be ((16/l)/4)/((-15)/150). Determine x(h). 5 Let p(s) = s**3 + 4*s**2 - 2*s - 1. Let b(w) = -3*w**2 + w - 2. Suppose 2*f - 7 = -5*v, -f - v = 4 - 6. Let x be b(f). Calculate p(x). 7 Let a(l) = 3*l - 12. Let c(u) = -28*u + 24. Let g(x) = 7*a(x) + c(x). Give g(-8). -4 Let g(t) = 14*t + 1. Let s = 299 - 296. Suppose -h - s*h - 4 = 0. Give g(h). -13 Let t(f) = -5*f**3 - 4*f**2 - 2*f - 16. Let c(b) = 17*b**3 + 11*b**2 + 7*b + 53. Let a(m) = -3*c(m) - 10*t(m). Let s = 3 - -4. Calculate a(s). -6 Let g(l) be the first derivative of -l**4/4 - 3*l**3 + l**2/2 + 10*l + 76918. Let p(m) = -m**2. Let w be p(3). Give g(w). 1 Let n(f) = -f - 4. Let l(j) be the second derivative of j**4/12 + 5*j**3/6 - 9*j**2/2 + 3*j. Let p be l(-7). Let h be 1 + 20/p + 0. What is n(h)? -9 Let l(h) = h + 3. Let t(f) be the second derivative of -f**2/2 - 10*f. Let v(x) = -2*l(x) - 6*t(x). Let n be 2/(-3) + (-2)/6. Give v(n). 2 Let w be (-2)/6*-3*5. Let y be w - 14 - -2 - 3. Let p(t) = -t - 8 + 1 - 4. Determine p(y). -1 Let s(c) be the third derivative of c**5/12 + 53*c**4/24 - 13*c**3/3 - 621*c**2 + c. Determine s(-11). -4 Suppose 0 = 2*y + 16*y - 3*y. Let t(c) = -c**2 - 7*c + 9*c + 1 + y*c**2 - 5*c. Give t(-3). 1 Let u(p) = -p**3 - 5*p**2 - 4*p. Suppose -5*j = -2*z + 3*z + 421, 5*z - 445 = 5*j. Let l be 10/j + (-106)/(-34). Let q be (-1 + l)*(-3*2)/3. Calculate u(q). 0 Let c(h) = -3*h + 14. Let b(x) = 4*x - 15. Let m(q) = -2*b(q) - 3*c(q). Let k = -426 + 436. Let z be m(k). Let o(y) = -y**3 + 2*y + 2. Give o(z). 6 Suppose -4*t + 3*n + 1121 = 0, 565 = 2*t + 4*n - n. Let b = 284 - t. Let f(o) = o**3 - o**2 - 4*o - 1. Give f(b). 5 Let p(o) be the second derivative of -o**3/6 - o**2 + 47*o - 2. Suppose 0 = -5*m - 6 - 4, 2*k - m + 12 = 0. What is p(k)? 5 Let i = -1283 - -1290. Let t(s) = -4*s**2 + 5*s - 7. Let z(v) = -3*v**2 + 5*v - 6. Let j(u) = 2*t(u) - 3*z(u). What is j(i)? 18 Let g(c) = 8 + 13 - c**3 + 25 + 7 - 12*c**2 + c + 3*c**2. Determine g(-9). 44 Suppose 21 = 3*i + r, -5*r + 11 = i + 4. Let f(v) = 18*v - 37. Calculate f(i). 89 Let h(v) = -4 - 2 + 5*v - 6*v + 4*v**3 - 3*v**3 + 7*v**2. Let i be h(-7). Let g(f) = 4 + 5*f - 2*f + 6*f - 5. Calculate g(i). 8 Let l(s) = 1378*s - 1367*s + 6 - 5. Calculate l(-5). -54 Let i(y) be the third derivative of y**6/120 - 11*y**5/60 + 23*y**4/24 + 5*y**3/2 - 1093*y**2 - 1. Calculate i(8). 7 Let w(b) be the second derivative of b**5/20 - 3*b**4/4 - 11*b**3/6 + 7*b**2 + b. Let k(u) = 95*u + 4475. Let x be k(-47). Determine w(x). 4 Let r(p) = p**2 + p - 2. Let j be r(2). Suppose 0 = j*k - 11*k + 42. Let h(v) = -v**3 - 9 + 6*v + 17 + 5*v**2 - 13. Calculate h(k). -5 Let i(x) = 2*x + 11. Let m(s) = -2*s - 11. Suppose 11*t - 7 = -40. Let v be m(t). Determine i(v). 1 Let s(g) = g**3
{ "pile_set_name": "DM Mathematics" }
2 + 268. Round n to the nearest one hundred. -300 Suppose p - 36237 - 553763 = 0. Round p to the nearest one hundred thousand. 600000 Let w(g) = 24*g**3 - g**2 + 10*g - 4. Let k be w(8). What is k rounded to the nearest 1000? 12000 Let u = 0.346 + 0.064. What is u rounded to 1 decimal place? 0.4 Let t = -0.21 - -0.2099993. Round t to seven dps. -0.0000007 Let n = -30.968041 - -29.4880281. Let u = -67.48 - -66. Let g = u - n. What is g rounded to six decimal places? 0.000013 Let q = -6.7 - -87.7. Let o = q - 80.9999941. Round o to 6 decimal places. 0.000006 Let d = 2763.742 - 2773. Let o = -42.058 + 42. Let i = d - o. Round i to 0 dps. -9 Let u be -150003 + (-3)/2*(-4)/2. What is u rounded to the nearest one hundred thousand? -200000 Let i = 0.045 - 0.0484. What is i rounded to three decimal places? -0.003 Let n = 89.9 + -8.9. Let s = n - 79.33. Round s to 1 decimal place. 1.7 Let n = 0.016 + -0.0160082. What is n rounded to 6 dps? -0.000008 Suppose 4*b = 3*p - 3963415, -2*p + 7*b = 4*b - 2642277. Suppose -278863 = x + p. Round x to the nearest one million. -2000000 Let l be 4 - (-3)/12*-4 - 32103. What is l rounded to the nearest 1000? -32000 Let m(b) = 7*b**2 - 2*b + 1. Let u = 5 + -4. Let i be m(u). What is i rounded to the nearest ten? 10 Suppose -p + 5*p + m - 10 = 0, -2*p = 3*m - 10. Let v = 2 - p. Suppose v*u - 125990 = -i - 2*u, 0 = -i - 4*u + 125980. Round i to the nearest ten thousand. 130000 Let y = -0.202 - -0.22. Let p = y - 0.01799889. Round p to 7 dps. 0.0000011 Let o be (-227999)/10 + (-18)/180. What is o rounded to the nearest one thousand? -23000 Let w = 55 - 55.00062. Round w to four dps. -0.0006 Let u = -0.018 - -0.017999683. What is u rounded to 7 decimal places? -0.0000003 Let x = 10.3707741438 + 0.0292265262. Let i = x - 10.4. Round i to seven decimal places. 0.0000007 Let x = -1702136.0173 + 1702034. Let n = 78 - -24. Let d = x + n. Round d to three dps. -0.017 Suppose -7 = -k - 132. Let l be 6/(-4) - k/2. What is l rounded to the nearest 10? 60 Let v = -1 - -1. Let r = 20680 - -12320. Suppose r = -v*x + 3*x. What is x rounded to the nearest ten thousand? 10000 Let b = 1.8136 + -23.8596. Let s = -22 - b. Round s to 2 dps. 0.05 Let r = -1.75 - -101.75. Let l = -100.63 + r. Round l to one dp. -0.6 Suppose -2*w + 449423 - 57455 = 0. Suppose -3*j - j + 4*c + w = 0, j - 49008 = -2*c. What is j rounded to the nearest ten thousand? 50000 Let u(g) = g - 6. Let p be u(0). Let h(k) = 143334*k + 4. Let y be h(p). Round y to the nearest one hundred thousand. -900000 Suppose w - 5*v + 9*v - 7 = 0, 11 = 2*w + 5*v. Suppose -w*k - 721 = r - 0*k, -3656 = 5*r - 2*k. Round r to the nearest 100. -700 Suppose -3*z + 14191 = r, 3*r - 27066 = 4*z + 15546. What is r rounded to the nearest one thousand? 14000 Let r be (-1 - 2)*1*49. Let j = r - 103. What is j rounded to the nearest 100? -300 Let h = 5 + 8. Let d = -12.999995 + h. What is d rounded to six decimal places? 0.000005 Let j = -968.79 - -949. Let i = -20 - j. Let p = i + 0.209983. What is p rounded to five decimal places? -0.00002 Let b = -99 - -99.179. What is b rounded to 2 decimal places? 0.18 Let l(g) = g + 2. Let b be l(0). Suppose -b*k = -o - 1, k + 6 = -2*o - 1. Let d(n) = 69999*n - 3. Let x be d(o). Round x to the nearest one hundred thousand. -200000 Let s = -261.0000137 + 261. Round s to six decimal places. -0.000014 Let n = 17 + -14. Suppose 0*o - 330000 = n*o. What is o rounded to the nearest 10000? -110000 Suppose 5*h - 2280000 = -5*h. What is h rounded to the nearest 10000? 230000 Let q = 3606.58 - 3606.4800002. Let s = q + -0.1. What is s rounded to 6 dps? 0 Let u be 1504/(-12)*225/2. Round u to the nearest 1000. -14000 Let f = -37 + 36.785. Let y = -0.17 - f. What is y rounded to two dps? 0.05 Let k = 0.0607 + -0.06069687. What is k rounded to seven decimal places? 0.0000031 Let c be -3 + 2 - -3 - -3. Let d(a) = -847*a**3 - 5*a**2. Let f be d(c). Round f to the nearest 10000. -110000 Let m = 0.032 - 0.952. Let c = m + 0.9273. What is c rounded to 3 decimal places? 0.007 Suppose 4 = 6*s - s - p, s = -p - 4. Let z(t) = -2*t - 9701*t**2 + 1 + 2 - 4 + s*t. Let f be z(-1). What is f rounded to the nearest one thousand? -10000 Let y = -0.37 - -0.232. Round y to two dps. -0.14 Let n = -16 - -10. Let m = n - -6.4. Let g = 3.2 - m. What is g rounded to the nearest integer? 3 Let v = -140 - -139.27. Round v to 1 dp. -0.7 Let n = 40.958 - 19.041. Let q = n - 22. What is q rounded to two dps? -0.08 Let c = -15.2 - -13. What is c rounded to 0 decimal places? -2 Let c = 2 - -1. Suppose -3*x = c*s + 3849, -s + 3846 = -3*x - 3*s. Round x to the nearest one hundred. -1300 Let d(n) = 16918*n + 16. Let l be d(-12). Round l to the nearest 10000. -200000 Let w = 5 - 5.0000005. Round w to 6 dps. -0.000001 Let k = -170945 - 139055. What is k rounded to the nearest 100000? -300000 Let p = 0.4489 - -0.0371. Let j = -2 - -2.044. Let r = p + j. What is r rounded to one dp? 0.5 Let n = -225 - -224.903. Let x = 120.487 - 120. Let t = x + n. What is t rounded to 1 decimal place? 0.4 Suppose 5*t - 14550 = -59550. What is t rounded to the nearest one thousand? -9000 Suppose 0*j = 2*j. Round j to 4 dps. 0 Let c = -1515 - -9045. Let t = 27630 - c. Round t to the nearest one thousand. 20000 Let m(d) = -2*d**3 + 4*d**2 - 18*d - 60. Let s be m(30). Round s to the nearest 10000. -50000 Suppose 0 = v - 18348 + 3848. What is v rounded to the nearest one thousand? 15000 Let u be ((-5)/15)/(1/111). What is u rounded to the nearest ten? -40 Let f = 0.7 + -4.7. Let t = -22772.00025 - -22768. Let m = t - f. What is m rounded to four decimal places? -0.0003 Let b = -39.999938 - -40. What is b rounded to 5 dps? 0.00006 Let x = 156 - -55. Let p = x + -438. Let h = p + 227.000113. What is h rounded to 5 dps? 0.00011 Suppose -2*n = 4*m - 4076008, -4*m + 3*n = -0*m - 4075988. What is m rounded to the nearest 100000? 1000000 Let x = 5 + -4.99999985. Let k = 0 + x. What is k rounded to seven dps? 0.0000002 Suppose 25773 = 3*f - 5*m + 83948, -4*m + 96980 = -5*f. Round f to the nearest 1000. -19000 Let y = 0.035 + -0.03500209. What is y rounded to 6 decimal places? -0.000002 Let z(i) = -i + 5. Let f be z(3). Suppose -1410000 = -f*w - w. What is w rounded to the nearest 100000? 500000 Let r = -2.7 + 2.83. Let u = r - 0.1272. What is u rounded to three dps? 0.003 Let a = -4 + 9. Let g = -5.000001 + a. Round g to five decimal places. 0 Suppose 144 = 3*c + c. Let a be 8/c + (-808)/(-9). Let f be 4/((-12)/(-31))*a. What is f rounded to the nearest 100? 900 Let z = 48.88080218 + -48.8658. Let h = 0.015 - z. What is h rounded to 7 dps? -0.0000022 Let l = 81.5 - 84.83. Let b = 0.03 + l. What is b rounded to zero decimal places? -3 Let u = -772421149.0014 - -772483680. Let g = -62517 + u. Let r = g + -14. What is r rounded to three dps? -0.001 Let i = -4.59 + 4.349. What is i rounded to 2 dps? -0.24 Let u = -101.6 + 96.6032. Let v = 0.02 + -5.02. Let r = u - v. What is r rounded to 3 dps? 0.003 Let v = 21866.88439 + -21867. Let j = -0.115 - v. What is j rounded to 4 dps? 0.0006 Suppose -k = -3*k. Suppose 3*i = 5*x - 2*x + 149997, k = -3*x - 2*i - 150002. Round x to the nearest 10000. -50000 Let p = 92.801 - 93. What is p rounded to 2 decimal places? -0.2 Let z = -0.98 - -1.67. Round z to 1 dp. 0.7 Suppose 3*b - 10 = -4. Suppose 0*z = b*z. Suppose -v + 1 + 0 = z, -2*i + 4*v = -36. What is i rounded to the nearest 100? 0 Let h(j) be the first derivative of 3*j**4/4 - 5*j**3/3 - j**2 + 1. Let i be h(-3). Let s be (3/4)/((-2)/i). Round s to the nearest ten. 50 Let a = -53 + 15. Let c = -133.2 + 99. Let n = a - c. What is n rounded to 0 dps? -4 Let t = -99775 + 200775. Round t to the nearest ten thousand. 100000 Let u = -8.5 - -10. Let z = -5 + u. Let a = z - -16.9. What is a rounded to 0 decimal places? 13 Let m = 58 - 116. Let w = -588.2 + 641. Let i = m + w. Round i to zero dps. -5 Suppose -7*x = -6*x + 4. Let u = x + 7. Suppose u*l = -q + 1130015, 6*q - 3*q = l + 3389995. Round q to the nearest 100000. 1100000 Let x = 8 + -7. Let w(d) = -8001*d**2 + 2*d - 1. Let v be w(x). Round v to the nearest ten thousand. -10000 Suppose -r + 24 = 5*j - 4*r, 0 = 3*j + r - 6. Suppose -j*u = -39829660 + 95629660. What is u rounded to the neares
{ "pile_set_name": "DM Mathematics" }
-1/8? -0.4 Which is the fourth smallest value? (a) 0 (b) -24 (c) -0.1 (d) -4 a Which is the smallest value? (a) -2.3 (b) -0.3 (c) 3 a Which is the third smallest value? (a) 5 (b) 7 (c) -17/6 b Which is the third smallest value? (a) 0.1 (b) -115 (c) 71 c Which is the fourth smallest value? (a) 2 (b) 8 (c) 3/5 (d) 4 (e) 13 b Which is the fourth biggest value? (a) 1 (b) 127 (c) -3/4 (d) 6/7 c What is the third biggest value in 2/7, -10, 19, -0.09? -0.09 Which is the biggest value? (a) -5 (b) -48 (c) -12 a Which is the second biggest value? (a) -1 (b) -2/3 (c) 190 b Which is the second smallest value? (a) -0.57 (b) -1/4 (c) 4 b Which is the third biggest value? (a) 0.3 (b) -87 (c) -3 (d) -4/5 c What is the biggest value in 1/3, 1/4, 4/3, -5, 30/17? 30/17 What is the second biggest value in 22, 0.2, 1, -1? 1 Which is the smallest value? (a) -11 (b) 53 (c) -3/5 a Which is the third smallest value? (a) -1 (b) 0.11 (c) -0.5 (d) 0.1 (e) -5/2 c Which is the biggest value? (a) 0.3 (b) -2/11 (c) 0.05416 a Which is the second smallest value? (a) -3 (b) 0.3 (c) 6 b Which is the third biggest value? (a) -4/7 (b) 1/2 (c) 1/5 (d) -20 (e) 2/7 c Which is the third biggest value? (a) 2/19 (b) -5 (c) 3 b What is the third smallest value in 6, 0, 3, -0.07, 4? 3 Which is the third smallest value? (a) 0.2 (b) -0.5 (c) 3 (d) 2 (e) 1.4 e What is the biggest value in 1, -0.1, -1.25, -5, 5/2? 5/2 What is the biggest value in 5, 1/10, -31/3? 5 Which is the third biggest value? (a) 3 (b) -0.5 (c) -9 c Which is the biggest value? (a) -2 (b) 0.1 (c) -0.3 b Which is the second smallest value? (a) -0.7 (b) -2/3 (c) -1/6 b What is the second smallest value in -0.03, 0, -4, 64, -0.2? -0.2 Which is the second biggest value? (a) -2/7 (b) -0.1 (c) 210 (d) 0 d Which is the second smallest value? (a) 0.3 (b) 3/8 (c) -36 a Which is the third biggest value? (a) 2/15 (b) 413/4 (c) -0.1 c What is the smallest value in 2/17, 1, -15, 1/2? -15 What is the fourth biggest value in 2/3, -24, 1/2, 4? -24 Which is the third smallest value? (a) 0.3 (b) -1 (c) 2 (d) -85 (e) 27 a What is the third biggest value in -2/9, -475, 4? -475 Which is the third smallest value? (a) 56 (b) -2/7 (c) -5 a Which is the third smallest value? (a) -2/3 (b) -41 (c) -1/4 (d) -4 a Which is the second biggest value? (a) 1/5 (b) 80 (c) -0.4 a Which is the third biggest value? (a) 0.1 (b) -17 (c) -0.08 (d) 3 (e) -3 c What is the fourth smallest value in 2/5, 0.06, -0.3, -5/3? 2/5 What is the third biggest value in -2, 0, 0.3, -0.5, 3? 0 Which is the second biggest value? (a) -4 (b) 3/2 (c) -2/5 (d) -15 c What is the biggest value in 2/3, 0.2, 1, -0.07331? 1 What is the third smallest value in 1/7, 6, -49, 2? 2 Which is the biggest value? (a) 2/43 (b) 5/3 (c) -2 b Which is the third biggest value? (a) 0.2 (b) 20 (c) 2/5 (d) -3/2 (e) 1/3 e What is the biggest value in -2/11, -229, 2/3? 2/3 Which is the second smallest value? (a) -0.3 (b) 1/6 (c) 1/5 (d) 0.4 (e) 5 b What is the biggest value in 0.1, 3/7, -0.04? 3/7 What is the third biggest value in 1, 0, 8/13, 0.5, -0.2? 0.5 What is the smallest value in 6/67, 5, -2, -1/7, -2/3? -2 What is the second smallest value in -0.2, -27, -24? -24 What is the third smallest value in -1.6, -1/3, 34, 3, -1/4? -1/4 What is the third smallest value in -2/7, 12/11, -6/7? 12/11 What is the second smallest value in 0, 65, 2/5, 8? 2/5 What is the fourth biggest value in -0.32, 6/5, -2/5, -0.5? -0.5 What is the biggest value in -24/29, -2/7, 0.3, 3? 3 What is the biggest value in 6, 7, 1, -2? 7 What is the fourth smallest value in -0.1, 0.01, -3, -1372, 4? 0.01 Which is the second smallest value? (a) 2 (b) -2/35 (c) 3 (d) 0.4 d What is the second biggest value in -2, -74.2, 0? -2 Which is the smallest value? (a) 1/9 (b) 1 (c) -2/7 (d) -4 d Which is the fourth smallest value? (a) -0.5 (b) 16/5 (c) 5 (d) -2/13 c What is the second smallest value in -2, 2, 30, 3/5? 3/5 What is the third smallest value in 1, -3, -0.05, 2? 1 What is the second biggest value in -0.4, 1, -14, -4? -0.4 What is the second smallest value in -17, -0.3, -5? -5 What is the smallest value in -4, -23, -2, -2/3? -23 What is the third biggest value in 9/5, -3, -0.3, 7? -0.3 Which is the biggest value? (a) -2/9 (b) 0.4 (c) -4/7 (d) -7/6 b Which is the fourth smallest value? (a) 0.3 (b) -1.6 (c) -0.1 (d) 1.1 d Which is the biggest value? (a) -2 (b) 3 (c) -0.3 (d) -11 b What is the fifth biggest value in -8, 2, -0.4, -2/17, 3? -8 What is the smallest value in -11, 1, -4? -11 What is the second smallest value in -7, 0.3, -0.1, 1? -0.1 Which is the fourth biggest value? (a) 3 (b) 5 (c) 14 (d) -9 d Which is the second smallest value? (a) 1/9 (b) -6.1 (c) -0.5 c Which is the second biggest value? (a) 2 (b) 0.1 (c) 0.07 (d) 17 (e) -3 a Which is the third biggest value? (a) -3/97 (b) -4 (c) -0.2 b What is the smallest value in 1/4, 2/5, 1, 1/389? 1/389 Which is the third biggest value? (a) -10 (b) 2 (c) -12 (d) -1/3 a What is the third biggest value in -12, -10, 0? -12 What is the third smallest value in -31, -2, 0.23, -1? -1 Which is the second smallest value? (a) -1/12 (b) -0.04 (c) -16 (d) 0.3 a Which is the smallest value? (a) -0.1 (b) 74 (c) 2 (d) -2 d Which is the second biggest value? (a) 151 (b) -0.1 (c) 4 c Which is the third biggest value? (a) -5 (b) 2/71 (c) 3 (d) 6/7 (e) 2 d Which is the biggest value? (a) 0.186 (b) 2/13 (c) -0.2 (d) -1 (e) -0.5 a What is the second smallest value in -0.09, -6, 0.2, -2, 0.3? -2 What is the fourth smallest value in 3/4, -0.3, 3, -7? 3 Which is the biggest value? (a) 2 (b) -0.3 (c) -3 (d) 1 a Which is the second biggest value? (a) -2.1 (b) 2 (c) 0 c Which is the fourth smallest value? (a) -287 (b) 0.2 (c) 0.1 (d) -0.4 b What is the fifth smallest value in 3/2, -3, 2, -3/5, -1? 2 What is the fourth smallest value in 2/7, 4, 6/7, -0.31, -5? 6/7 What is the third smallest value in -3, 5, 235, -2? 5 Which is the smallest value? (a) -332 (b) 5 (c) -1 (d) -5 a What is the third biggest value in -1/2, 81, 2? -1/2 Which is the smallest value? (a) 1/5 (b) -5 (c) 7 (d) -0.1 b Which is the biggest value? (a) -3/4 (b) 0.1 (c) 4 (d) -9 c Which is the biggest value? (a) -343 (b) -54 (c) 0.4 c What is the smallest value in -6, 1, 5/6, 0, 3? -6 What is the third biggest value in -0.114, 0.08, -1/4, 0.5? -0.114 Which is the fifth smallest value? (a) 4 (b) -4 (c) -1 (d) 0.4 (e) -44 a Which is the second smallest value? (a) 1/2 (b) 3 (c) -16 (d) -1 d Which is the fourth biggest value? (a) 3 (b) 3/2 (c) 1 (d) -12 d Which is the second smallest value? (a) -26 (b) -0.4 (c) -0.3 (d) -3 (e) 4 d Which is the third smallest value? (a) -1/3 (b) -100 (c) 2 (d) 19 c Which is the fourth smallest value? (a) -1/4 (b) 1 (c) 3 (d) 15 d What is the second smallest value in 6, 1, -0.29, 0.2, -1? -0.29 What is the biggest value in -4, 2, 1? 2 Which is the third biggest value? (a) 2/17 (b) -115 (c) -0.5 (d) -24 d Which is the second smallest value? (a) 0 (b) 33 (c) -1 a What is the third biggest value in 14, -2/5, 2/21? -2/5 Which is the biggest value? (a) 1 (b) 61 (c) -1 b What is the third smallest value in 1, -0.1, -4, -2/5, 27? -0.1 Which is the third smallest value? (a) 0.02 (b) 14 (c) -5 (d) 3 d What is the second smallest value in -0.02, -0.5, 7? -0.02 What is the third biggest value in 2, 9/7, -2.6, 0? 0 What is the fifth smallest value in -2/21, -3, -94, -3/14, -4? -2/21 What is the smallest value in -1/3, -124, -0.3? -124 Which is the fifth biggest value? (a) -0.2 (b) -2/11 (c) 27 (d) -4 (e) -3 d What is the second biggest value in 5, -2/5, 0.04, 0? 0.04 Which is the third biggest value? (a) -1/15 (b) 0 (c) -7 (d) 0.2 a Which is the second smallest value? (a) 0.5 (b) -116/5 (c) -2/5 (d) -3 d Which is the second biggest value? (a) 2 (b) -4 (c) 7 (d) -1/2 a What is the second biggest value in 2/7, 3, -0.252? 2/7 What is the smallest value in -9, -3, -4, 5, 0.1? -9 What is the smallest value in -36/5, 4.3, -4, 5/4? -36/5 Which is the biggest value? (a) 9
{ "pile_set_name": "DM Mathematics" }
re the prime factors of u? 3, 19 Suppose 2*x - 12 = -x. Suppose -x*h = 3*h + 1666. Let o = -139 - h. What are the prime factors of o? 3, 11 Let g(o) = o**3 + 8*o**2 - 5*o - 42. Let i be g(-6). Suppose -48*d - 5868 = -i*d. List the prime factors of d. 3, 163 Let j(h) be the first derivative of 65*h**3/3 - 51*h**2/2 + h + 87. List the prime factors of j(-3). 739 Suppose 69 = -4*z - 31. Let j = z - -22. Let i(t) = -45*t - 3. List the prime factors of i(j). 2, 3, 11 Suppose 3*u - 1225 = -10*y, -257 = -2*y - u - 2*u. Let b = -31 + 158. Let g = b - y. What are the prime factors of g? 2, 3 Let z(r) = -6*r - 3. Let f be z(-1). Suppose -f*o + 79 - 220 = 0. List the prime factors of 4/12*-1*3*o. 47 Let l(y) = 4*y**2 + 2*y + 6. Let h(f) = -2*f**2 + 2*f + 2. Let v(d) = d**2 - d - 1. Let b(x) = -5*h(x) - 8*v(x). Let a be b(0). List the prime factors of l(a). 2, 3 Suppose 6*w = -b + 3217 + 4401, 3*w = 3*b - 22896. What are the prime factors of b? 2, 5, 7, 109 Let z = 46 - 43. Suppose 0 = -4*t + z*m + 289, 0*t + 2*t + 5*m - 177 = 0. Suppose 4*o = 296 - t. List the prime factors of o. 5, 11 List the prime factors of ((-1141)/326)/(2/(-6) + 4403/13218). 7, 2203 Let g = 7 - 1. Suppose 0*l - g*l = -12. What are the prime factors of -67*2*l/(-4)? 67 Let l(b) be the second derivative of b**5/4 + 5*b**4/12 - 7*b**3/2 + 24*b**2 - 154*b. What are the prime factors of l(6)? 2, 3, 197 Let a(n) = 2*n**3 - 4*n**2 + n + 2. Let x be a(2). Let w = 63 - 59. Suppose g = -x*q + 796, w*q + 4*g = -0*q + 784. What are the prime factors of q? 2, 5 Let h(p) be the third derivative of p**5/20 - 7*p**4/12 + 23*p**3/6 - 16*p**2. Let u be h(9). Suppose 7*o - u = 3*o. List the prime factors of o. 5, 7 Let o(y) = y**3 + 46*y**2 - 29*y - 1. What are the prime factors of o(-46)? 31, 43 Let b = -137 - -226. Suppose 3*y - 5*g - 1357 + b = 0, -1700 = -4*y + 2*g. What are the prime factors of y? 2, 3, 71 Let d(m) = -253*m - 2412. What are the prime factors of d(-71)? 15551 Let f(g) = 106*g**2 - 44*g + 33. Let i be f(11). List the prime factors of (-4)/((-140)/i) - (-6)/14. 2, 3, 59 Let d(o) = 3*o - 59. Let h be d(-12). Let c = h - -452. List the prime factors of c. 3, 7, 17 Let m(u) = u**3 + 14*u**2 + 15*u - 32. Let t(h) = h. Let d(s) = m(s) - 3*t(s). Let o be d(-13). List the prime factors of (-2 - -5 - o)/(2/8). 2, 11 Suppose 4*s + 205 = -5*m, 3*s - 7*s - 195 = -5*m. Let c = s - -52. What are the prime factors of (c*2 + -2 + -3)*-211? 211 List the prime factors of 1481 - (10 - (6 + 5)). 2, 3, 13, 19 Let z be ((-63)/(-6) - 10)*-39*20. What are the prime factors of (z/(-8))/(9/24) - -1? 131 Let j be 7*9*2 - -2. Suppose 0 = -l - 4762 + 4765. Suppose l*x = j + 301. List the prime factors of x. 11, 13 Let j(w) = -w**2 + 50 - 24*w + 7*w - 43. List the prime factors of j(-10). 7, 11 Suppose 5*l = -5*j + 78815, -2*j + 3*l + 37991 - 6500 = 0. List the prime factors of j. 2, 3, 13, 101 Let g = 38312 - 18511. What are the prime factors of g? 19801 Let p(c) = 9*c - 7. Let u be p(-8). Let w = 148 + u. Suppose 0 = -x + 35 + w. What are the prime factors of x? 2, 13 Suppose 8980 = 5*h + 8*d, -4*h + 3*h + 2*d = -1778. List the prime factors of h. 2, 3, 149 Let z(y) = -2*y**2 + 512*y + 767. List the prime factors of z(184). 137, 199 Let x(v) = -v**3 - 9*v**2 + 4. Let d(p) = -2*p**2 + p - 3. Let a be d(2). Let u be x(a). Suppose 34 = q - u*o, 10 = o - 3*o. What are the prime factors of q? 2, 7 Let a(o) = 425*o**2 + 29*o + 24. What are the prime factors of a(6)? 2, 3, 7, 41 Suppose 0*v + 48766 = 5*v + 2*y, -2*v - 5*y = -19519. What are the prime factors of v? 2, 23, 53 Let p = 5611 - -3979. List the prime factors of p. 2, 5, 7, 137 Let c(d) = 15*d**2 - 17*d - 22. List the prime factors of c(-9). 2, 673 Let u(m) = -m**2 - 24*m - 58. Let z be u(-22). What are the prime factors of (-12)/z + 3851/7? 19, 29 Let n(w) = -12*w - 18. Suppose -6*t - 10 = -40. Suppose t*i = i - 36. What are the prime factors of n(i)? 2, 3, 5 Let v(w) = -4210*w - 491. What are the prime factors of v(-3)? 61, 199 Let o = -15457 + 38573. What are the prime factors of o? 2, 5779 Suppose -255*q + 907160 = -215*q. List the prime factors of q. 22679 Suppose 0 = -83*g + 77*g - 408. Let i = 75 + g. Suppose -72 = i*j - 814. What are the prime factors of j? 2, 53 Suppose -4*a + 9006 = j, -5*a + 6726 = -2*a - 4*j. What are the prime factors of a? 2, 3, 5 Suppose 337 = -5*d + 77. Let f = 171 + d. Let t = f + 68. List the prime factors of t. 11, 17 Let y(g) = g**3 + 26*g**2 + 36*g + 54. Let v be y(-18). Suppose -10938 + v = -15*u. List the prime factors of u. 2, 149 Suppose 3*a - 9 = 0, -2*a + 4*a = 4*x - 42. Suppose x*c = 8*c + 1320. Suppose c = 4*p - 2*j, -5*p + j = -2*p - 249. What are the prime factors of p? 2, 3, 7 Let m be 80/4*78/8. Suppose 0 = 3*a - 2*a - m. Suppose -3*s = -234 - a. What are the prime factors of s? 11, 13 Let j(d) be the second derivative of -d**2 - 1/4*d**4 + 0 - 14*d + 7/6*d**3 + 9/10*d**5. What are the prime factors of j(2)? 2, 3 Let d be (-6)/(5 + -2)*(0 - 2). Suppose -5*p = -d*y - 1514, 225 - 1139 = -3*p + y. List the prime factors of p. 2, 3, 17 Let p(f) = -f**3 + 17*f**2 - 18*f + 32. Let c be p(16). Suppose 5*r - 5*o - 2025 = c, -o = r - 419 + 18. List the prime factors of r. 13, 31 Suppose -2*f - 2*j = -3768, 0 = 5*f + 5*j - j - 9423. List the prime factors of f - (1 - (-2 - 5)). 1879 Let u be (-12)/(-20) - (-86)/(-10). Let r(c) = -13*c - 310. Let n be r(-24). List the prime factors of n*((-92)/u - -2). 3 Let z(q) = 18*q**2 - 5*q - 137. Let j be z(-14). Suppose 29*d = j + 16404. What are the prime factors of d? 5, 137 Let x = 885 - 885. Suppose -109*t + 100*t + 6111 = x. What are the prime factors of t? 7, 97 Suppose 0 = -5*c - 10*t + 8*t + 35224, -c = 4*t - 7034. What are the prime factors of c? 2, 13, 271 Suppose 3*h + 96 = 15*h. What are the prime factors of (-38)/h*((-6 - -8) + -26)? 2, 3, 19 Let x(r) = 65*r**2 + 123*r - 3. Let b(w) = 16*w**2 + 31*w - 1. Let v(i) = 9*b(i) - 2*x(i). List the prime factors of v(-7). 2, 113 Let b(i) = -i**3 + 70*i**2 - 254*i - 83. List the prime factors of b(65). 2, 11, 103 Suppose -2*g - 3*g - 2*m + 57 = 0, 3*g = 4*m + 29. Let o(k) = k - 10. Let a be o(g). Let b(n) = 30*n**2 - 2*n + 3. List the prime factors of b(a). 31 Suppose -3*j - 20 + 1061 = 5*h, -203 = -h + 2*j. Let b = 563 - h. What are the prime factors of b? 2, 89 What are the prime factors of (-655)/(-2620) + 4/((-32)/(-2502))? 313 Let s(u) = 3*u**2 + 11. Suppose 5*c = 5*d + 6*c + 42, 4*d + 5*c = -42. What are the prime factors of s(d)? 7, 29 Suppose 0 = -24*x - 1027 - 293. Let v = x + 386. List the prime factors of v. 331 Suppose l + 7 = 8. Suppose 2 = 2*x - a, -5*a + 7 = -4*x - l. Suppose -2*r - 140 = -x*r - w, w = 4*r - 575. List the prime factors of r. 11, 13 Suppose 0 = -131*w + 133*w + 12, -11052 = -2*k + 2*w. List the prime factors of k. 2, 3, 5, 23 Suppose 5*k = 4*g - 20, 23*g - 4 = 18*g + k. Suppose 14*p - 2031 - 7069 = g. List the prime factors of p. 2, 5, 13 Let m(i) = -4*i - 3 - 3*i - 14 + 5. Let f be m(9). Let o = 91 - f. List the prime factors of o. 2, 83 Let s(k) = 8*k + 1. Suppose -165 - 59 = -4*u. Suppose u = -0*x + 7*x. List the prime factors of s(x). 5, 13 Suppose -67*a + 76*a - 54 = 0. Suppose 2475 = a*z - 135. List the prime factors of z. 3, 5, 29 Let x = 840 - 1407. Let n = 131 + x. Let b = -263 - n. What are the prime factors of b? 173 Let s(z) be the third derivative of z**6/120 - 43*z**5/60 + 5*z**4/2 - 20*z**3/3 + 137*z**2. What are the prime factors of s(42)? 2, 179 Let a(b) = 9*b + 1. Let y(d) = -d**2 - d + 1. Let n(o) = -a(o) - 6*y(o). Let q be n(-3). What are the prime factors of (-3 + -2 - -4) + q? 5, 11 Suppose 104*i - 2178426 = -10*i. List the prime factors of i. 97, 197 Let q be (0 + -2 + 3)*113. Let c = 302 - q. Suppose 3*z - c = -0*z. What are the prime factors of z? 3, 7 Suppose -5*k + 16560 = -4045. What are the prime factors of k? 13, 317 Suppose 196*g - 120*g = 119*g - 1441704. What are the prime factors of g? 2, 3, 11, 127 Suppose 12*i - 30*i = 24102. Let p = -858 - i. What are the prime factors of p? 13, 37 Suppose 0 = -18*q - 36 - 18. What are the prime factors of (-9)/(4/564*q)? 3, 47 Suppose -2*v + 27*v + 18*v - 775247 = 0. List the prime factors of v. 11, 149 Let z(f) = -f*
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 5093400374? 2, 1291, 1972657 List the prime factors of 15639372. 2, 3, 7, 137, 151 List the prime factors of 91866495. 3, 5, 7, 874919 What are the prime factors of 4060589642? 2, 37, 54872833 List the prime factors of 1050291334. 2, 7487, 70141 List the prime factors of 5680339. 7, 883, 919 What are the prime factors of 61941121? 11, 19, 296369 What are the prime factors of 1339085160? 2, 3, 5, 7, 531383 What are the prime factors of 123990843? 3, 17, 929, 2617 List the prime factors of 8368985000. 2, 5, 1673797 What are the prime factors of 2253317760? 2, 3, 5, 37, 97, 109 List the prime factors of 2134325152. 2, 66697661 What are the prime factors of 34060965? 3, 5, 1187, 1913 What are the prime factors of 1047888208? 2, 65493013 What are the prime factors of 106570845? 3, 5, 23, 102967 List the prime factors of 90892872. 2, 3, 7, 23, 7841 What are the prime factors of 4221147036? 2, 3, 23, 73, 9109 List the prime factors of 7471479687. 3, 7, 19, 1709, 10957 List the prime factors of 4312945414. 2, 24809, 86923 List the prime factors of 2030051956. 2, 223, 2275843 What are the prime factors of 2622350876? 2, 37, 1831, 9677 What are the prime factors of 39318663? 3, 2137, 6133 List the prime factors of 3514597759. 3514597759 List the prime factors of 107163621. 3, 31, 128033 What are the prime factors of 439832279? 17, 139, 10949 List the prime factors of 8509739. 7, 19, 109, 587 What are the prime factors of 16485483? 3, 7, 19, 79, 523 What are the prime factors of 60595705? 5, 107, 191, 593 List the prime factors of 64524631. 937, 68863 List the prime factors of 346701042. 2, 3, 19261169 What are the prime factors of 112601642? 2, 17, 3311813 List the prime factors of 265181. 7, 43, 881 List the prime factors of 132379756. 2, 1051, 31489 What are the prime factors of 473366607? 3, 7, 41, 78541 What are the prime factors of 252340487? 7, 73, 493817 What are the prime factors of 2897750603? 11, 59, 67, 103, 647 List the prime factors of 1052204680. 2, 5, 29, 907073 List the prime factors of 47908419. 3, 13, 433, 2837 What are the prime factors of 149579697? 3, 49859899 List the prime factors of 79206875. 5, 11, 41, 281 What are the prime factors of 79360263? 3, 2939269 List the prime factors of 33296262. 2, 3, 5549377 What are the prime factors of 87227978? 2, 43613989 List the prime factors of 48128125. 5, 15401 List the prime factors of 80792468. 2, 23, 41, 21419 What are the prime factors of 1430140528? 2, 89383783 List the prime factors of 2733954395. 5, 397, 733, 1879 What are the prime factors of 1493253446? 2, 17, 31, 1416749 List the prime factors of 52023502. 2, 17, 1530103 List the prime factors of 1942427. 19, 102233 What are the prime factors of 278389107? 3, 5501, 5623 List the prime factors of 105317371. 105317371 What are the prime factors of 26844128? 2, 23, 36473 List the prime factors of 500319890. 2, 5, 7, 29, 137, 257 List the prime factors of 210752695. 5, 317, 132967 List the prime factors of 70796522. 2, 2341, 15121 List the prime factors of 29173206. 2, 3, 1153, 4217 What are the prime factors of 1012537860? 2, 3, 5, 173, 97547 What are the prime factors of 317996976? 2, 3, 11, 602267 List the prime factors of 50136676. 2, 241, 52009 What are the prime factors of 2029019493? 3, 107, 251, 25183 List the prime factors of 2374289385. 3, 5, 13, 67, 181729 What are the prime factors of 1924859609? 191, 2243, 4493 What are the prime factors of 34546807? 19, 193, 9421 List the prime factors of 2912613360. 2, 3, 5, 19, 37, 61, 283 What are the prime factors of 1381322085? 3, 5, 11, 13, 58543 What are the prime factors of 131086034? 2, 65543017 What are the prime factors of 3425362596? 2, 3, 1579, 60259 What are the prime factors of 59679266? 2, 19, 251, 6257 List the prime factors of 26645726. 2, 157, 84859 List the prime factors of 8877001. 7, 1268143 What are the prime factors of 464717706? 2, 3, 37, 2093323 What are the prime factors of 1511876511? 3, 1747, 96157 List the prime factors of 2963141627. 41, 137, 563, 937 List the prime factors of 32681327. 7, 17, 67, 4099 What are the prime factors of 214886936? 2, 11, 17, 379 What are the prime factors of 109848968? 2, 17, 541, 1493 List the prime factors of 411899775. 3, 5, 7, 47, 16693 List the prime factors of 95784540. 2, 3, 5, 67, 23827 What are the prime factors of 3094752076? 2, 13, 37, 223, 7213 What are the prime factors of 2383605636? 2, 3, 73, 659, 4129 What are the prime factors of 32322741? 3, 11, 61, 16057 List the prime factors of 68419788. 2, 3, 5701649 List the prime factors of 179270483. 7, 43, 491, 1213 What are the prime factors of 34508363? 31, 1113173 What are the prime factors of 40981510? 2, 5, 373, 10987 What are the prime factors of 3926397362? 2, 1963198681 What are the prime factors of 5018712606? 2, 3, 278817367 List the prime factors of 4595974050. 2, 3, 5, 30639827 What are the prime factors of 22927070? 2, 5, 47, 48781 List the prime factors of 478264774. 2, 13, 17, 1082047 What are the prime factors of 9669786? 2, 3, 7, 230233 What are the prime factors of 15160017? 3, 181, 27919 List the prime factors of 1862232184. 2, 1723, 135101 List the prime factors of 6293498661. 3, 233092543 What are the prime factors of 2177154209? 2177154209 What are the prime factors of 3223930799? 53, 60828883 List the prime factors of 383833707. 3, 127944569 What are the prime factors of 779031967? 7, 2621, 42461 What are the prime factors of 40769608? 2, 11, 463291 List the prime factors of 812615278. 2, 443, 917173 List the prime factors of 1283371203. 3, 53, 8071517 List the prime factors of 49476406. 2, 7, 127, 27827 List the prime factors of 78791267. 78791267 List the prime factors of 91974358. 2, 7, 1039, 6323 What are the prime factors of 1221406504? 2, 233, 655261 List the prime factors of 37659150. 2, 3, 5, 53, 1579 List the prime factors of 705379722. 2, 3, 61, 311, 6197 List the prime factors of 28278431. 23, 211, 5827 List the prime factors of 14153419. 7, 607, 3331 What are the prime factors of 426854442? 2, 3, 7, 10163201 List the prime factors of 8047281898. 2, 11161, 360509 List the prime factors of 890239649. 13, 401, 170773 List the prime factors of 2596844495. 5, 7, 74195557 List the prime factors of 83055012. 2, 3, 41, 223, 757 List the prime factors of 357253300. 2, 5, 17, 31, 6779 List the prime factors of 2955326660. 2, 5, 11, 13, 101, 787 List the prime factors of 47936053. 11, 37, 117779 List the prime factors of 855739499. 19, 71, 151, 4201 What are the prime factors of 186675819? 3, 11, 73, 77491 List the prime factors of 79893952. 2, 37, 33739 List the prime factors of 2514974613. 3, 838324871 List the prime factors of 37667863. 37667863 What are the prime factors of 1728365161? 1728365161 What are the prime factors of 121123098? 2, 3, 6729061 List the prime factors of 43367130. 2, 3, 5, 160619 What are the prime factors of 2679642075? 3, 5, 11, 149, 21799 What are the prime factors of 176824507? 19, 9306553 What are the prime factors of 18714064? 2, 367, 3187 What are the prime factors of 196715587? 12907, 15241 List the prime factors of 48469361. 19, 47, 54277 List the prime factors of 2029853796. 2, 3, 797, 212239 List the prime factors of 5780074. 2, 31, 53, 1759 What are the prime factors of 326749508? 2, 353, 231409 List the prime factors of 29330403. 3, 179, 193, 283 What are the prime factors of 1301547961? 7, 185935423 List the prime factors of 3934336692. 2, 3, 11, 13, 2292737 What are the prime factors of 618259589? 107, 2371, 2437 What are the prime factors of 3417632927? 17, 631, 318601 List the prime factors of 733750892. 2, 7, 19, 197033 List the prime factors of 115151274. 2, 3, 7, 6217 List the prime factors of 67278619. 2087, 32237 What are the prime factors of 103124030? 2, 5, 101, 102103 List the prime factors of 45181488. 2, 3, 11, 85571 List the prime factors of 23562084. 2, 3, 7, 13, 21577 List the prime factors of 571477033. 31, 419, 43997 What are the prime factors of 16185268? 2, 11, 73, 5039 What are the prime factors of 4907306770? 2, 5, 490730677 List the prime factors of 3681412765. 5, 4673, 157561 What are the prime factors of 45819451? 45819451 What are the prime facto
{ "pile_set_name": "DM Mathematics" }
5 + 77 = 6*n for d. -1 Solve 301 - 126 = -5*n - 13*a, 1 = -2*a + 4 - 13 for n. -22 Solve -5*i = -2*r + 4, -4*i + 6*i + 330*r - 328*r = -3*i + 4 for i. 0 Solve -3*w - 8*z + 32 = w, 5*w - z - 6 = 1 for w. 2 Solve 8*w - 42 = t, 11*w - 8*w + 34 = -5*t - w for t. -10 Solve -486*a + 472*a = -i + 382, 2*a + 50 = -i for a. -27 Solve -262*k = -11*z + 262*k - 525*k + 496, 0 = 2*z - 2*k - 88 for z. 45 Solve 46188*x - 46190*x - 4*y = 53 + 17, 21 = 3*x - y for x. 1 Solve 45 = -36*v + 3*h, 5*h + 44 - 54 = -5*v for v. -1 Solve 0 = -3*m - 3*p - 2200 + 2194, -8*m - 2*p + 3 - 13 = 0 for m. -1 Solve g + 2*p = 21, -4*g = -3*p - 1307 + 1278 for g. 11 Solve -4*h + 4*b + 24 = 0, -3435*b + 3439*b = h + 6 for h. 10 Solve -5*q - 7 = -2, 2*a - 3*q - 3 - 1 = -22*q + 1 for a. 12 Solve 0 = -13*u + 3*u + 2*p + 368, -2*u + 42*p - 45*p = u - 96 for u. 36 Solve -2*k = w + 1, -60341*w - 4*k = -60320*w + 21 for w. -1 Solve -t - 311 + 323 = 5*v, 5*t + 15*v = 1 + 39 for t. 2 Solve -3*f + 25*t + 26 + 53 + 17 = 10*t, -t - 7 + 1 = 0 for f. 2 Solve -61183*r + 144 = -61187*r + 3*c, -2*r + 3*c = 78 for r. -33 Solve -40*v - 5*x = -15, 4*x = -558*v + 555*v - 17 for v. 1 Solve 101*g = 17*x + 188*g - 91*g - 510, 4*x - 2*g = 120 for x. 30 Solve -2*v - 175*t + 16 = -179*t, 20*v - 2*t = 15*v + 40 for v. 8 Solve -z + 35*k - 36*k = 2*z - 27, 4*z - 3*k = -16 for z. 5 Solve m + 5*i = 91, 4*m = -3*i + 1038 - 997 for m. -4 Solve 4*a - 20 = -4*s + 5*a - 3*a, a = 8*s + 30 for s. -2 Solve 24*m = -4*y - 25*m - 188, 32*y + 2*m = 25*y + 7*m + 34 for y. 2 Solve -5*g + 151 = 5*v + 1 + 105, 0 = 4*g + v - 21 for g. 4 Solve 3*b + 14*w - 14 = 0, 14620*w + 34 = -b + 14625*w for b. -14 Solve -140*n + 137*n = 34*p + 173, -3*p - 37*n - 17 = -35*n for p. -5 Solve 167 - 260 = -5*j - 12*l - 178, -3*j + 10 = -5*l for j. -5 Solve 13*p + 351 = 5*i, -243*p + i = -242*p + 13 + 14 for p. -27 Solve 0 = 2*x - 2*f - 128 + 126, x + x - 8*f = -x + 8 for x. 0 Solve -6*w - w + 0*u = -3*w - 2*u - 3*u + 168, 0 = 9*u - 288 for w. -2 Solve 0 = 9*v + 4*f - 306 + 225, 7*v - 6 = 3*f + 2 for v. 5 Solve -3*v - 103*y + 98*y = -8, -v + 4*y = -58 + 27 for v. 11 Solve -3*m = -17*s + 2, -2078*s + 2073*s + 3*m = 10 for s. 1 Solve -22 = -1112*d + 1114*d + p, -8*p = -2*d + 12*p - 106 for d. -13 Solve 0 = 3*u + 3*o + 352 - 136, 2*o + 456 = -80*u for u. -4 Solve 85 = -4*l + 5*b, -4*l + 26*b = -535 + 1061 for l. 5 Solve 20*y - s = -17*y - 15*y + 47*y - 2*s, -69 = -3*y + 4*s for y. 3 Solve 4*q = -5*u - 218, -4*u + 1952 - 4008 = -17*q - 3033 for u. 2 Solve -2*c + g = -43, 2*c = -18*g - 1564 + 866 for c. 2 Solve 11 = p - 2*n, p + 1645*n - 1646*n - 58 = -2*p for p. 21 Solve 0 = 4*o + 330*j - 338*j + 76, 2*j + 66 = -4*o for o. -17 Solve 10*b - 135 = -5*j, 685 + 600 = -4*b + j + 1354 for b. 16 Solve -4122*p + 3*u = -4119*p + 21, -3*u = 2*p - 21 for p. 0 Solve -3*i - 907 = 5*x - 848, 46*i + 3*x = -610 for i. -13 Solve -3583*s = -3574*s + 2*l + 32, -29 = 4*s + 3*l for s. -2 Solve 2 = -5*u + 4*z - 18, -u - 17120 + 16750 = -74*z for u. 0 Solve -3*b - 32 = -2*x, -170*b - 4*x = -167*b + 4 + 40 for b. -12 Solve -43*o + 254 = -b, -2025*b - 10 = -2029*b + o for b. 4 Solve 0 = -15*b + 4*v + 116, -12414*v - 12424*v + 36 = -5*b - 24842*v for b. 4 Solve 4*w = -21*t - 225, -5*t - 3*w - 199 + 41 = 0 for t. -1 Solve -4*p - 6*n + 53 - 194 = -n, 416*n - 426*n = -8*p - 182 for p. -29 Solve -126 + 117 = 2*l - r, -3*l + 14*r + 14 = -7*r + 25*r for l. -2 Solve 0*h + 8 = -h + 3*m + 13, 3*h + 17*m = -11 for h. 2 Solve 57*u - 55*u - 5*a = -59, 13*a = -3*u + 137 for u. -2 Solve -4*l - 17 = -d, -7 = 14706*l - 14710*l - 23*d for l. -4 Solve 93*k = 4*p + 89*k - 12, 86*p + 5*k = -288 for p. -3 Solve -3*i + 6 = 0, -2*s + 316*i + 63 = -389*i + 408*i - 469*i + 1587 for s. 4 Solve 0 = -1095*b + 1094*b - 2*z + 10, -5*b - 5 = -z for b. 0 Solve 4*b = 3*h + 1, -18*h + 26 = 2*b - 28*h for b. -2 Solve -8*q - 8*q = j + 21, -435*q + 4*j = -437*q + 40 for q. -2 Solve 5*q = 2*c - 46, 5589*c = 5*q + 5594*c - 45 for q. -4 Solve -70*d + 75*d + 15 = 0, 3*l + 2*d + 12 = 0 for l. -2 Solve 4*z - 3*b - 83 + 26 = 0, -8*b = -5*z + 152 for z. 0 Solve 62 = 4*o + 2*h, 6*o - 1315*h = -1317*h + 90 for o. 14 Solve -5*g + 3069*s = 3067*s + 112, g + 5 = -5*s - 12 for g. -22 Solve -3*t - 67 = -v - 80, 43 = -3*t - 7*v for t. 2 Solve -y - 3*f + 12 = 0, -27*y + 59*y = 37*y - 3*f - 114 for y. 21 Solve 18*l - 10*l - 21 = -c + 4*l, -3*l - 3 = -3*c - 0*l for c. 5 Solve -3*w = -c + 36, 0 = -4*c + 96012*w - 96017*w + 93 for c. 27 Solve -a - 8 + 19 = 4*y - 220, -293 = 3*a - 5*y for a. -1 Solve -z - d - 13 = 25, 3*d = -9 + 12 for z. -39 Solve -3*a + 3*s = -36, 11 = -3*a - 2*a - 4*s + 44 for a. 9 Solve -7*j + 2*j + 25 = 0, 302*t - 304*t - j + 5 = 0 for t. 0 Solve -69 = -3*b - m - 98, 0 = 4*m + 20 for b. -8 Solve 4*o - 108 = 5*q + 13*o, -44 = -32*q + 34*q + 4*o for q. -18 Solve -22*v - 44 = -4*b - 2, 1346*b - 34 = 1344*b - 2*v for b. 16 Solve -1049*o - 8 = -1050*o + y, 5*y = 3*o - 38 for o. 1 Solve -4*d + 5*u = -158, -18020965*u + 18020963*u = 3*d + 54 for d. 2 Solve 5*r - 90 = -5*g, 49 = 3*g + 31550*r - 31548*r for g. 13 Solve -11820*c + 11817*c + 2*a = -3*a - 55, 2*a = -6*a - 40 for c. 10 Solve 18 = 5*w + 4*h - 2*h, 0*h - 2*h = 208730*w - 208728*w - 6 for w. 4 Solve -3*x + 1475253 - 1475187 = -4*u, -286 = -13*x for u. 0 Solve 2*y - 6 = 4134*w - 4133*w, 5*y - w = 9 for y. 1 Solve -4*n + 136 = 212*h - 216*h, -7*h = -3*n + 218 for h. -29 Solve 2*c = -106, -717*c = -12*s + 10*s - 713*c + 202 for s. -5 Solve 8*s - 3*u + 37 = -8 - 56, 62*u - 65*u + 27 = 3*s - 63 for s. -1 Solve -3*j + 149 = -h, -2*j + 71 = -49*h + 54*h - 0*j for h. -5 Solve 11*g - 6*g - 9*t + 2*t - 23 = 8*g, -5*t = -5 for g. -10 Solve 0 = 17*z - z - 4*z - 2*r - 142, 0*z - 5*r + 41 = 3*z for z. 12 Solve 0 = -111150*g + 111145*g + 5*n + 35, 0 = -4*g + 2*n + 18 for g. 2 Solve -4*z + 34 = -2*q, -1215*q + 1226*q = -209 for z. -1 Solve 24706*f = -5*v + 24710*f + 52, -22 = -2*v + f for v. 12 Solve -28 = -4*r + 4*z, -5712*r - 2*z - 23 = -5716*r + z for r. 2 Solve -4 - 86 = r + 27*g, 5*r + 123*g - 240 = 126*g for r. 45 Solve 3*p - 5*f - 2 + 59 = 2*f, 57 = 80*p - 83*p + 5*f for p. -19 Solve 3*p + 370 = 7*v + 309, -2*v + 2 = 3*p for v. 7 Solve -2*s - 1488 = -0*m + 7*m - 1519, 0 = 5*s - 2*m - 19 for s. 5 Solve -2*w - 2*v = -26, 6*w - v - 25 = 22*w - 11*w - 98 for w. 15 Solve -2*k - 6 = o + o + 68, 2*k - 5*k + 9*o + 273 = 0 for k. -5 Solve 12*u - 6*q + 186 = 0, -u - 320*q = -323*q + 18 for u. -15 Solve 2*x = s - x - 6, 2*x + 4 = 6519*s - 6521*s for s. 0 Solve 2*w = 3*x - 2, -3*x - 168 - 144 = -x - 98*w + 170 for x. 4 Solve -17734 + 17714 = -2*o + 5*q, -5*o - 4*q + 2 = -3*o for o. 5 Solve -5*w = 4*c + 104, -3*c + 3982*w - 79 = 3986*w for c. -21 Solve -l + a + 0 + 4 = -a, -157*l - 38 = -159*l - 26*a for l. 6 Solve 2892*s - 12*a = 2897*s - 213, -3*s - 3*a = -111 for s. 33 Solve 29*y - 2590*q = 34*y - 2591*q - 1, 17 = 7*y - 4*q for y. -1 Solve 0 = -3*k - 6*l + l - 86, 2*k = 6*k + 3*l + 122 for k. -32 Solve -4*m - 719 = 135*g, 3*m - 28 = 6*m - m + 3*g + 9 for m. -11 Solve -232873*x + 25 = -232878*x - 4*u, 5*u + 15 = -3*x for x. -5 Solve 4*s + 4*y - 25 = -5, -5*s - 2000 = -4*y - 1989 for s. 1 Solve -55*q + 2*p + 283 = 0, -3*p = -2*q - 267 + 289 for q. 5 Solve 8*n + 157 = 3*u + 68, 4*u + 3*n = 2*n + 5*n + 152 for u. 43 Solve -2535 = 6*n - d + 3*d - 2483, 3*d = 4*n - 52 for n. -2 Solve w + 73 = 3*j, -11*j + 266 = 1090*w - 1092*w for w. -1 Solve m + 4*p = -729 + 669, -5*p = 23*m + 162 for m. -4 Solve 9*l = -4*a + 25, -2*a + 4*l + 5*l + 3 = 4 for a. 4 Solve r = -2*w - 14 + 2, -4*w - 5*w = 3*r + 48 for w. -4 Solve -2*m = p - 28, 3*p - 28*m + 15*m = -9*m - 36 for p. 4 Solve -5*k = 2*s + 11, -39 + 55 = -4*s - 4*k - 0 for s. -3 Solve -2*d + 3*h = d + 303, -41*d = -45*d - 4*h - 112 - 284 for d. -100 Solve 10663*m - 10668*m = -5*j + 45, 2*j - m = 19 for j. 10 Solve -4*p + 24 = -8*o, -5*o - 20 = -765*p + 760*p for p. 2 Solve 540*h - 549*h + 8 = 2*j, -4*j + 5*h + 108 = 0 for j. 22 Solve 0 = -3*a - 3*d - 57, -2*d + 0*d = -19*a - 340 for a. -18 Solve 0 = -2*n - f - 15, 5*n - 5*f + 15585 = 15630 for n. -2 Solve 27448*f + 2*b = 27446*f - 4, -4*f = 2*b + 18 for f. -7 Solve -s + 0*s + 19*z = -4*s - 5 - 100, s - 12*z - 75 = 0 for s. 3 Solve 5*p = 2*r + 25, -11*p + 8*p + 155 = 3*r + 182 for r. -10 Sol
{ "pile_set_name": "DM Mathematics" }
re the prime factors of 152682? 2, 3, 25447 List the prime factors of 4352676. 2, 3, 362723 What are the prime factors of 4821983? 211, 22853 List the prime factors of 242064. 2, 3, 41 What are the prime factors of 6656383? 67, 99349 List the prime factors of 1013814. 2, 3, 151, 373 What are the prime factors of 5516087? 59, 93493 What are the prime factors of 443397? 3, 147799 List the prime factors of 391732. 2, 11, 29, 307 List the prime factors of 254027. 254027 What are the prime factors of 165342? 2, 3, 17, 1621 List the prime factors of 26631661. 7, 1787, 2129 List the prime factors of 7414827. 3, 7, 50441 List the prime factors of 182593. 182593 List the prime factors of 402288. 2, 3, 17, 29 What are the prime factors of 52471? 137, 383 List the prime factors of 18169876. 2, 59, 76991 What are the prime factors of 148668? 2, 3, 13, 953 List the prime factors of 3999. 3, 31, 43 List the prime factors of 6520297. 7, 223, 4177 List the prime factors of 114190. 2, 5, 19, 601 What are the prime factors of 240381? 3, 29, 307 What are the prime factors of 1134447? 3, 378149 List the prime factors of 1934800. 2, 5, 7, 691 List the prime factors of 2536235. 5, 13, 39019 List the prime factors of 1467140. 2, 5, 109, 673 What are the prime factors of 1088446? 2, 544223 What are the prime factors of 2420252? 2, 643, 941 List the prime factors of 2258640. 2, 3, 5, 3137 List the prime factors of 1577721. 3, 41, 101, 127 List the prime factors of 3707056. 2, 41, 5651 List the prime factors of 175617. 3, 13, 19, 79 What are the prime factors of 309243? 3, 11, 9371 What are the prime factors of 6357328? 2, 251, 1583 List the prime factors of 302026. 2, 151013 What are the prime factors of 23914401? 3, 7, 162683 What are the prime factors of 154161? 3, 7, 2447 What are the prime factors of 21178011? 3, 1873, 3769 What are the prime factors of 5289820? 2, 5, 41, 6451 What are the prime factors of 406180? 2, 5, 23, 883 What are the prime factors of 2426413? 11, 1823 List the prime factors of 243566. 2, 193, 631 What are the prime factors of 2908952? 2, 363619 List the prime factors of 48431. 19, 2549 List the prime factors of 1687580. 2, 5, 19, 4441 List the prime factors of 557153. 557153 List the prime factors of 1156804. 2, 11, 61, 431 What are the prime factors of 18535444? 2, 41, 113021 What are the prime factors of 4236611? 37, 67, 1709 What are the prime factors of 1569599? 1569599 What are the prime factors of 875616? 2, 3, 7, 1303 What are the prime factors of 119908? 2, 31, 967 List the prime factors of 262120. 2, 5, 6553 List the prime factors of 151031. 19, 7949 What are the prime factors of 71126? 2, 11, 53, 61 List the prime factors of 290609. 11, 29, 911 What are the prime factors of 60097? 19, 3163 List the prime factors of 284021. 47, 6043 What are the prime factors of 658516? 2, 193, 853 What are the prime factors of 20932? 2, 5233 What are the prime factors of 8697985? 5, 83, 20959 What are the prime factors of 117912? 2, 3, 17 What are the prime factors of 248689? 7, 35527 List the prime factors of 1219286. 2, 79, 7717 What are the prime factors of 278139? 3, 23, 29, 139 List the prime factors of 28966. 2, 7, 2069 What are the prime factors of 217179? 3, 59, 409 List the prime factors of 24744388. 2, 283, 21859 What are the prime factors of 26296504? 2, 13, 29, 8719 What are the prime factors of 13719250? 2, 5, 54877 What are the prime factors of 38907? 3, 11, 131 List the prime factors of 11915164. 2, 17, 137, 1279 List the prime factors of 656150. 2, 5, 11, 1193 What are the prime factors of 8391? 3, 2797 List the prime factors of 443784. 2, 3, 11, 41 List the prime factors of 328333. 328333 What are the prime factors of 522179? 7, 74597 What are the prime factors of 880452? 2, 3, 37, 661 What are the prime factors of 2451765? 3, 5, 79, 2069 List the prime factors of 1028438. 2, 514219 List the prime factors of 3613402. 2, 13, 138977 List the prime factors of 684214. 2, 342107 What are the prime factors of 217245? 3, 5, 7, 2069 What are the prime factors of 1383165? 3, 5, 7, 4391 List the prime factors of 1467126. 2, 3, 101, 269 What are the prime factors of 298559? 298559 List the prime factors of 12209544. 2, 3, 67, 2531 What are the prime factors of 360170? 2, 5, 36017 What are the prime factors of 48533? 48533 List the prime factors of 938635. 5, 347, 541 List the prime factors of 4578840. 2, 3, 5, 7, 23, 79 What are the prime factors of 200905? 5, 23, 1747 What are the prime factors of 928312? 2, 7, 11, 137 What are the prime factors of 436567? 461, 947 What are the prime factors of 16061711? 16061711 List the prime factors of 106960. 2, 5, 7, 191 List the prime factors of 1000580. 2, 5, 7, 1021 What are the prime factors of 1395303? 3, 7, 13, 19, 269 List the prime factors of 164311. 7, 23473 List the prime factors of 531225. 3, 5, 787 List the prime factors of 13985399. 13985399 What are the prime factors of 3995407? 13, 307339 List the prime factors of 1143731. 29, 39439 What are the prime factors of 109752? 2, 3, 17, 269 What are the prime factors of 9918158? 2, 4959079 What are the prime factors of 12765363? 3, 13, 327317 List the prime factors of 222762. 2, 3, 137, 271 What are the prime factors of 756430? 2, 5, 67, 1129 What are the prime factors of 534383? 29, 18427 List the prime factors of 4877134. 2, 2438567 List the prime factors of 4650550. 2, 5, 281, 331 What are the prime factors of 16348570? 2, 5, 7, 233551 What are the prime factors of 1831958? 2, 103, 8893 List the prime factors of 118470. 2, 3, 5, 11, 359 List the prime factors of 36673348. 2, 47, 195071 What are the prime factors of 206125? 5, 17, 97 What are the prime factors of 514600? 2, 5, 31, 83 List the prime factors of 12830889. 3, 4276963 What are the prime factors of 467845? 5, 7, 13367 What are the prime factors of 189978? 2, 3, 31663 List the prime factors of 1487718. 2, 3, 82651 What are the prime factors of 4404478? 2, 13, 83, 157 List the prime factors of 288184. 2, 13, 17, 163 What are the prime factors of 254887? 254887 What are the prime factors of 1739619? 3, 7, 53, 521 What are the prime factors of 14353668? 2, 3, 7, 79, 103 List the prime factors of 518826. 2, 3, 7, 11, 1123 What are the prime factors of 1120420? 2, 5, 7, 53, 151 List the prime factors of 7422869. 29, 255961 List the prime factors of 18697549. 13, 367, 3919 List the prime factors of 229758. 2, 3, 149, 257 What are the prime factors of 254203? 233, 1091 What are the prime factors of 1128770? 2, 5, 112877 What are the prime factors of 484878? 2, 3, 211, 383 List the prime factors of 19563462. 2, 3, 1086859 List the prime factors of 10206020. 2, 5, 11, 23, 2017 What are the prime factors of 2634078? 2, 3, 443, 991 List the prime factors of 71020. 2, 5, 53, 67 List the prime factors of 3307055. 5, 23, 149, 193 What are the prime factors of 503220? 2, 3, 5, 8387 What are the prime factors of 9449939? 9449939 What are the prime factors of 568571? 31, 18341 What are the prime factors of 695386? 2, 271, 1283 List the prime factors of 481148. 2, 37, 3251 List the prime factors of 5473422. 2, 3, 17, 31, 577 What are the prime factors of 2592998? 2, 1296499 List the prime factors of 38679. 3, 12893 What are the prime factors of 6043341? 3, 907, 2221 What are the prime factors of 384298? 2, 192149 List the prime factors of 293219. 29, 10111 List the prime factors of 9414918. 2, 3, 19, 27529 What are the prime factors of 1697283? 3, 7, 29, 929 What are the prime factors of 1415834? 2, 7, 23, 4397 What are the prime factors of 555860? 2, 5, 27793 List the prime factors of 1750594. 2, 875297 What are the prime factors of 185095? 5, 37019 List the prime factors of 504700. 2, 5, 7, 103 List the prime factors of 186064. 2, 29, 401 List the prime factors of 20707686. 2, 3, 353, 3259 List the prime factors of 5608791. 3, 43, 4831 List the prime factors of 215048. 2, 26881 List the prime factors of 257779. 37, 6967 What are the prime factors of 153802? 2, 11, 6991 What are the prime factors of 248485? 5, 49697 What are the prime factors of 3666264? 2, 3, 7, 139, 157 What are the prime factors of 265171? 283, 937 What are the prime factors of 4293128? 2, 7, 31, 2473 What are the prime fact
{ "pile_set_name": "DM Mathematics" }
1 + 0. What is n(x)? 9 Suppose -14 + 23 = 3*c, 0 = 4*k + 5*c - 23. Let a(r) = -r**2 + 3*r**3 - r - k*r**3 - r. Let v = 0 + -2. Determine a(v). -8 Let h(s) = -2*s**2 - 10*s + 6. Let n(d) = d**2 + d. Let a(b) = h(b) + 3*n(b). What is a(7)? 6 Let x(y) be the third derivative of -y**5/60 + y**4/3 + 7*y**3/2 - 21*y**2. Determine x(10). 1 Let a(f) = -f**2 - 7*f. Suppose -5*s = 5*j - 140, 0 = 5*j - 7*s + 4*s - 172. Let t be (-18)/(-4)*j/12. Suppose r = c + t - 3, -2*r + 13 = -c. Calculate a(c). 10 Let r be 7 + (-126)/30 - 8/10. Suppose 0 = r*a - 1 + 13. Let h(d) = 4 - 1 + 5*d + d**2 - 4. Determine h(a). 5 Let d(o) be the first derivative of o**4/4 + 5*o**3/3 + 4*o - 2. Let s be d(-5). Let g(x) = 0 - s + 0*x - x. Calculate g(-5). 1 Suppose 4*f = -3*b + 25, 4 + 11 = b + 3*f. Suppose -2*j + 30 = -4*u, -j + b*j = -2*u + 18. Let w(x) = j*x - 11*x + 2 + 8*x + x**2. Calculate w(-7). -5 Let b(n) = -25*n - 12. Let y(k) = -9*k - 4. Let l(i) = 6*b(i) - 17*y(i). What is l(-4)? -16 Let m be 30/(-15) - (-16)/1. Let f be m/8 - 3/(-12). Let c(j) = -9 + 6 - f*j + 2. Determine c(1). -3 Let a(t) = -t**2 - 7*t + 6. Let w(q) = -40*q - 409. Let g be w(-10). Calculate a(g). -12 Let l(w) be the third derivative of -w**7/5040 - 17*w**6/720 + 17*w**5/60 - 13*w**2. Let y(h) be the third derivative of l(h). Calculate y(-13). -4 Suppose 0 - 1 = -s. Let x(y) = y - 7 + 0 + 5 + s. Give x(2). 1 Let b(d) = -285 + 2*d + 298 + d**3 + 6*d**2 + 0*d**3. Let c be b(-6). Let k(s) be the third derivative of -s**5/10 - s**3/6 + 2*s**2. Calculate k(c). -7 Let j(m) be the first derivative of 2*m**3/3 + 7*m**2 - 2*m - 64. Suppose -5*g + 3*g - 14 = 0. Let p be j(g). Let r(i) = -2*i**3 - i**2 + 2*i - 1. Give r(p). 7 Let v(l) = l. Let o = -20 + 39. Let m = 36 - o. Let u = -16 + m. Calculate v(u). 1 Let q(k) be the third derivative of -k**5/60 - k**2. Let j(p) = p**2 + 3*p + 1. Suppose 5*t = 16 - 26. Let f be j(t). Give q(f). -1 Let j(r) = 1 + 2 - 4 - r**3 + 2*r + 0*r. Let b be (-4)/((-1)/4*-2). Let w be (b/(-12))/((-1)/(-3)). Give j(w). -5 Let t(n) = 4. Let w(s) = 2*s**2 + 5*s + 9. Let v(l) = -4*t(l) + w(l). Give v(-5). 18 Suppose x = 10 - 3. Let r(f) = f**2 - 7*f + 9. Let s(n) = -4*n + 5. Let j(z) = x*s(z) - 4*r(z). Determine j(-1). -5 Let z(g) = g - 1. Let q(s) = -5*s. Let b(i) = q(i) + 3*z(i). Let y(d) = 0*d**2 - 6 - 4*d + d**2 - 4*d. Let f be y(8). Calculate b(f). 9 Suppose 0*j + 3*j - 24 = 0. Suppose 2*u - 5*d = 12, -3*u + j = -2*d + 1. Let h(a) = 2*a + 1. Determine h(u). 3 Suppose 0 = -5*f - 3*f. Let i(a) be the third derivative of 5*a**2 + 0*a + f - 2/3*a**3 - 1/24*a**4. Calculate i(5). -9 Let d = 27 + -22. Let y(u) = 3*u + d*u - 8*u + u + 5. What is y(-7)? -2 Let p(l) = 34*l**3 + 32*l**3 - 3*l + 33*l**3 - 6*l**2 - 3 - 100*l**3. Let f = 14 - 18. What is p(f)? -23 Let b(n) = -n**3 + 11*n**2 - 7*n - 7. Suppose 0 = -2*d + 249 - 229. Determine b(d). 23 Let b(x) be the second derivative of 7*x**4/6 - x**3/3 + x**2/2 + 131*x. Determine b(1). 13 Let d = -37/3 - -41/3. Let l(o) be the first derivative of -d*o**3 - 1/2*o**4 - 2*o + 5 - 3/2*o**2. Calculate l(-2). 4 Let q(i) be the third derivative of -i**5/60 - i**3/3 + 62*i**2 - 2*i. Determine q(-2). -6 Let q(g) be the third derivative of g**6/24 - g**5/60 + g**4/24 - 80*g**2. Let j be 6/10 + (-6)/(-15). Give q(j). 5 Let x(j) = 6*j + 8. Let o be x(-4). Let h = -13 - o. Let f(q) = q - h*q**2 - q**2 + 7*q**2. Calculate f(-2). 10 Let p = -11 - -13. Let m be (-4 - -1)*p/(-3). Let r(x) = x**3 - 4*x - 1 + 0*x + 4*x + 2*x**m. Calculate r(1). 2 Let o(g) = g**3 + 8*g**2 - 21*g - 9. Let b be o(-10). Let w(r) = 7*r**2 + r**2 + 4 - 5 + 2*r + r**2. Determine w(b). 10 Let x(u) = 2*u - 14. Suppose -3*j + 4*c + 16 = 8*c, 3*j - c = -4. Determine x(j). -14 Let p(b) = -b**3 + 6*b**2 + 9*b + 6. Let a be p(7). Let u = -18 + a. Let v(x) = -2*x**u + 6*x**2 + 1 + 82*x - 3 - 80*x. Determine v(-2). 10 Suppose 3*q - 8 = -4*b + 3, -3*q + 15 = 0. Let a(s) = -1 - 4*s**2 - 2*s - s**3 + 2*s**2 + 0. Give a(b). 0 Let v(k) = 3*k + 2*k - 3*k + 214 - 216. Give v(5). 8 Suppose -2 = -y - 0*y. Let v be (-60)/(-24) + 3/6. Let f(u) = 17 - 15 - 123*u**v + 124*u**3 + u - 3*u**2. Calculate f(y). 0 Let v(s) = -3*s + 5*s + 6*s - 2*s + s. Determine v(-6). -42 Let t = -187/7 + 409/14. Let f(n) be the first derivative of 1/4*n**4 - n**3 + 5*n - 1 - t*n**2. Give f(4). 1 Suppose -3*j = -p - 13, -4*p - 4*j + 15 + 13 = 0. Let n(x) = -p + 5*x + 3 + 0 - 4*x. Determine n(3). 4 Suppose 0 = -6*u + u - 5. Let h(o) = o. Let g(z) = -3*z + 1. Let f(b) = u*h(b) + g(b). Give f(-3). 13 Let n(s) = -s**2 - 5*s + 1. Let r(u) = 2*u**2 + 9*u - 1. Let f(a) = -5*n(a) - 3*r(a). Suppose 6*q - 10*q = -5*x + 2, -4*x + 7 = -5*q. Give f(q). -5 Let o(j) = 257 - 2*j - 108 - 5*j**2 - 130 + j**3 - 8*j**2. What is o(13)? -7 Let y(s) be the second derivative of -s**3/6 + 8*s**2 - 3*s + 26. Give y(14). 2 Suppose 9*f - 12*f - 24 = 0. Let u(t) = -t - 1. Determine u(f). 7 Let c(i) = 2*i**3 + i**2 - 2*i + 2. Let v be c(1). Suppose 3*k + 2*n = 4*k - v, k + 3*n = 3. Let m(g) = g - 7. Determine m(k). -4 Let n be (498/(-60) - -7) + 18/60. Let u(i) = -1 - i + 0*i + 9*i. Calculate u(n). -9 Let a(w) = 4*w + 13. Let o(y) = -y**3 - 7*y**2 - 2*y - 84. Let c be o(-8). Determine a(c). -3 Let t(v) be the first derivative of -2*v**3 - 5*v**2 - 18*v - 22. Let j(l) = -4*l**2 - 7*l - 12. Let u(f) = -8*j(f) + 5*t(f). Calculate u(-4). 14 Let a(q) be the second derivative of -q**3/2 + 11*q. Suppose 0 = 3*y + y - 16. Suppose -4*w = -5*v - 7, v = -3*w + y*v + 6. What is a(w)? -9 Let v be (-5)/((-15)/(-36))*19/(-76). Let l(b) be the third derivative of 0*b - 1/24*b**4 + 0 - 5*b**2 - 2/3*b**v. What is l(-3)? -1 Let h(b) = 2*b + 7. Suppose 154 = 16*o + 90. Give h(o). 15 Let i be ((-11781)/(-255) - 46)/(68/(-70) + 1). Let v(h) = -h + 1 + 5 + 0*h. Determine v(i). -1 Let h(q) = q**3 - q**2 - q - 1. Let s = -4 + 2. Let c(y) = -37*y**2 + 0*y**3 - 2*y - 2*y**3 + 7 + 34*y**2 - y**3. Let w(a) = s*h(a) - c(a). Calculate w(-4). -5 Let f(x) = 26*x**2 - x. Let y(p) = 19*p**2 + 36*p - 3. Let b be y(-2). Give f(b). 25 Let u(i) = i**3 - 7*i**2 + 9*i - 9. Let d = 1152 - 1147. What is u(d)? -14 Let r(y) = 3*y**2 - 5*y - 9. Let w(v) = v**2 - 3*v - 5. Let k(j) = 3*r(j) - 5*w(j). Determine k(2). 14 Let w = 83 - 61. Suppose -t - w + 14 = 0. Let o(s) = -s**2 - 8*s - 9. Give o(t). -9 Let q(w) = 12*w**2 - 5*w + 5. Let t(u) = 7*u**2 - 2*u + 3. Let c(j) = -4*q(j) + 7*t(j). What is c(-4)? -7 Let q(z) = z**2 - 1. Let f be (-23)/(-2) + 1/(-2). Let g be (4/6)/((-3)/(297/6)). Let d = f + g. Calculate q(d). -1 Let l be -4 + 1 - (9 + (-511)/42). Let k(b) be the second derivative of 7/2*b**2 - 1/20*b**5 - 1/2*b**4 + l*b**3 + 0 - 4*b. Determine k(-6). 1 Let p(y) = -y**2 + 6*y. Suppose 4 = 2*x - x. Suppose n - 25 = -x*n. Give p(n). 5 Let v(m) be the third derivative of m**4/6 + m**3 + 166*m**2. Give v(-6). -18 Let m(r) = 5*r**2 - 2*r + 14. Let j(t) = t**2 + 1. Let u(q) = -6*j(q) + m(q). What is u(-6)? -16 Let i(m) = m**3 + 9*m**2 - 10*m + 4. Let g be i(-10). Let o(c) be the first derivative of -c**4/4 + 5*c**3/3 - c**2 - 4*c - 2. What is o(g)? 4 Let u be (7 + -10)*(-26)/6. Let y = 13 - u. Let g(p) = 2*p**3 - p**3 + y*p**3. Determine g(2). 8 Let v be (1/3)/(-1 - 40/(-45)). Let l(j) = -j**3 - 3*j**2 - 5*j - 2. What is l(v)? 13 Let h be 2/(-8) + 70/(-40). Let y(t) = 2*t**2 - 1. What is y(h)? 7 Let c(m) = -3 - 8*m + 1 + 5*m + 1. Calculate c(-6). 17 Let p(q) = 2*q**2 - 2*q - 12. Let k be p(5). Suppose 19*b - 26*b = -k. Let a(c) = c**3 - 3*c**2 - 6*c + 1. What is a(b)? -7 Let j(d) = d**2 - d - 1. Let a(y) = -2*y**3 + 10*y**2 - 12*y + 4. Let c be a(3). Calculate j(c). 11 Let v(r) = -3*r**2 - 31*r + 30. Let d be v(-11). Let j(o) = -o**3 + 8*o**2 + 3*o - 10. Give j(d). 14 Let c(u) = 10*u - 11. Let j be c(1). Let r(i) = -4*i + 1. Calculate r(j). 5 Let d(w) = -w**2 + 9*w - 8. Let s be d(7). Let g(r) = -2 + 1 - 6 + 3 + r + 1. Determine g(s). 3 Suppose -k + 10 = k, -2*c + 2*k - 16 = 0. Let r(z) be the second derivative of 1/6*z**3 - 6*z - z**2 + 0. Determine r(c). -5 Suppose -l = -3*t - 12 - 17, -30 = -2*l - t. Let s = 23 - l. Let r(q) = 10*q - 21 - q**2 + q**3 - 9*q + s. Give r(0). -15 Suppose 4*c + 4*j - 22 = 6*c, 0 = 2*j + 4. Let p = -20 - c. Let k(s) = -3*s + 2. What is k(p)? 17 Let h(s) = s**3 - 16*s
{ "pile_set_name": "DM Mathematics" }
0 of a second in microseconds? 60000 How many millilitres are there in 21/5 of a litre? 4200 How many millilitres are there in nine tenths of a litre? 900 How many micrograms are there in seven halves of a milligram? 3500 Convert 4786.825 centimeters to micrometers. 47868250 What is 41601.12 milligrams in grams? 41.60112 How many meters are there in 76915.81nm? 0.00007691581 Convert 4000.325 meters to millimeters. 4000325 What is fifteen quarters of a millennium in months? 45000 What is 42/5 of a gram in milligrams? 8400 How many microseconds are there in 3/10 of a millisecond? 300 What is thirty-seven fifths of a century in decades? 74 What is 72769.38mm in meters? 72.76938 What is nine tenths of a litre in millilitres? 900 How many millilitres are there in 3/25 of a litre? 120 Convert 59.49953 years to decades. 5.949953 What is thirty-one halves of a kilogram in grams? 15500 How many millilitres are there in 5/8 of a litre? 625 How many kilograms are there in 75546.97ug? 0.00007554697 What is one sixteenth of a meter in micrometers? 62500 How many millilitres are there in eleven halves of a litre? 5500 What is twenty-five halves of a litre in millilitres? 12500 What is 21/5 of a tonne in kilograms? 4200 What is 7008.711 nanometers in millimeters? 0.007008711 What is 11/2 of a kilogram in grams? 5500 How many grams are there in fifteen quarters of a kilogram? 3750 How many milliseconds are there in 65.64918ns? 0.00006564918 How many decades are there in 381.1698 millennia? 38116.98 Convert 11234.7 hours to seconds. 40444920 What is thirteen eighths of a millennium in years? 1625 What is 6/25 of a meter in centimeters? 24 How many seconds are there in 1/6 of a day? 14400 What is five quarters of a gram in milligrams? 1250 How many meters are there in 0.0198858km? 19.8858 How many millilitres are there in 29/5 of a litre? 5800 Convert 896.5506l to millilitres. 896550.6 What is 1.789741 hours in seconds? 6443.0676 What is three tenths of a gram in milligrams? 300 How many months are there in one fifteenth of a millennium? 800 Convert 34616.29 meters to micrometers. 34616290000 What is 41/2 of a hour in seconds? 73800 How many years are there in twenty-five quarters of a millennium? 6250 How many micrometers are there in thirteen quarters of a millimeter? 3250 What is 577.1498 days in seconds? 49865742.72 How many centuries are there in 68266.8 years? 682.668 What is 2343.547 millilitres in litres? 2.343547 What is three fifths of a day in minutes? 864 What is seven quarters of a microgram in nanograms? 1750 How many millilitres are there in fourty-two fifths of a litre? 8400 How many months are there in 3/10 of a millennium? 3600 How many millennia are there in 2913.2094 months? 0.24276745 How many seconds are there in 0.1643755 nanoseconds? 0.0000000001643755 How many nanometers are there in 32/5 of a micrometer? 6400 What is thirty-two fifths of a centimeter in millimeters? 64 What is fifteen quarters of a kilogram in grams? 3750 What is 4.753805ml in litres? 0.004753805 What is 64/5 of a day in minutes? 18432 What is nineteen quarters of a gram in milligrams? 4750 How many millilitres are there in fifty-one fifths of a litre? 10200 How many months are there in thirteen quarters of a decade? 390 What is 5.461472 meters in centimeters? 546.1472 What is three fifths of a hour in minutes? 36 How many hours are there in seventeen sixths of a week? 476 What is 3/8 of a millennium in months? 4500 What is 46.48146l in millilitres? 46481.46 What is twenty-one halves of a millennium in centuries? 105 How many nanoseconds are there in 0.4533051 seconds? 453305100 Convert 37.88631 tonnes to kilograms. 37886.31 Convert 2907.23 millennia to centuries. 29072.3 What is 0.7357662l in millilitres? 735.7662 What is 57740.03 litres in millilitres? 57740030 What is 3/40 of a tonne in grams? 75000 What is 8981.552 centimeters in millimeters? 89815.52 How many millennia are there in 211709.19 months? 17.6424325 How many milligrams are there in 37/2 of a gram? 18500 How many micrometers are there in 21/4 of a centimeter? 52500 How many grams are there in 3/40 of a kilogram? 75 What is six fifths of a meter in millimeters? 1200 How many millimeters are there in one tenth of a kilometer? 100000 How many grams are there in 0.770678 tonnes? 770678 Convert 12779.27l to millilitres. 12779270 How many centimeters are there in five eighths of a kilometer? 62500 How many millilitres are there in 1/10 of a litre? 100 How many years are there in 76.263 centuries? 7626.3 How many milliseconds are there in 12/25 of a second? 480 What is eleven halves of a gram in milligrams? 5500 What is 291.533445s in weeks? 0.0004820328125 What is eleven quarters of a milligram in micrograms? 2750 How many hours are there in 4/3 of a day? 32 What is seven quarters of a decade in months? 210 What is three fifths of a litre in millilitres? 600 How many millilitres are there in twenty-one fifths of a litre? 4200 How many micrometers are there in 42/5 of a millimeter? 8400 What is 0.4390109 grams in nanograms? 439010900 How many meters are there in 15/4 of a kilometer? 3750 How many milliseconds are there in 1/60 of a hour? 60000 What is eleven halves of a centimeter in millimeters? 55 How many months are there in 5/6 of a century? 1000 How many millilitres are there in 1/5 of a litre? 200 What is 37/5 of a litre in millilitres? 7400 How many tonnes are there in 0.8201675 grams? 0.0000008201675 What is 0.4352365 meters in micrometers? 435236.5 Convert 0.0445761 grams to milligrams. 44.5761 How many litres are there in 88.60555 millilitres? 0.08860555 How many meters are there in 7/2 of a kilometer? 3500 What is six fifths of a millennium in months? 14400 Convert 590076.9 seconds to weeks. 0.97565625 What is 5/8 of a litre in millilitres? 625 How many millilitres are there in 0.4916625l? 491.6625 What is twenty-one halves of a decade in years? 105 How many millimeters are there in 7/2 of a meter? 3500 Convert 980.8408km to millimeters. 980840800 How many millilitres are there in 538850.2 litres? 538850200 How many centuries are there in 11/2 of a millennium? 55 What is eight thirds of a hour in seconds? 9600 How many micrograms are there in 42.41952kg? 42419520000 How many centuries are there in 799.3671 months? 0.66613925 Convert 46.76663 litres to millilitres. 46766.63 How many months are there in fourty-six fifths of a decade? 1104 How many meters are there in 134.023cm? 1.34023 How many grams are there in 0.9684137ug? 0.0000009684137 Convert 79943.79 weeks to minutes. 805833403.2 Convert 855062.6 centuries to years. 85506260 How many litres are there in 2.835129 millilitres? 0.002835129 Convert 779.1261kg to nanograms. 779126100000000 What is 0.4718923l in millilitres? 471.8923 How many millilitres are there in 3/25 of a litre? 120 What is three tenths of a century in months? 360 How many millennia are there in 606.1704 years? 0.6061704 How many microseconds are there in eleven halves of a millisecond? 5500 How many millilitres are there in 3/8 of a litre? 375 What is 1/4 of a decade in months? 30 What is 7698.102 millilitres in litres? 7.698102 How many seconds are there in 3.315801 days? 286485.2064 What is 1/100 of a tonne in grams? 10000 How many days are there in 20898.4293 microseconds? 0.00000024187996875 How many litres are there in 566.6684ml? 0.5666684 How many micrometers are there in 19/10 of a millimeter? 1900 How many minutes are there in 5/4 of a hour? 75 Convert 621.9803 days to microseconds. 53739097920000 How many days are there in 68158.8 minutes? 47.3325 Convert 957557.6mg to grams. 957.5576 How many kilograms are there in eleven halves of a tonne? 5500 How many years are there in 27/2 of a decade? 135 How many years are there in fourty-four fifths of a millennium? 8800 What is 45/8 of a week in minutes? 56700 How many meters are there in 43288.25cm? 432.8825 What is 0.0773289t in nanograms? 77328900000000 What is 37/2 of a kilometer in meters? 18500 What is 82359.09 tonnes in kilograms? 82359090 How many centuries are there in 246629.13 months? 205.524275 What is 59/4 of a litre in millilitres? 14750 How many months are there in 1/6 of a year? 2 Convert 13.06854 months
{ "pile_set_name": "DM Mathematics" }
uppose -19*c + 15*c + 52 = 0. What is the highest common factor of i and c? 13 Let q = 67 + 43. What is the highest common factor of 22 and q? 22 Let b(g) = 122*g + 29. Let c(w) = 41*w + 10. Let o(h) = 6*b(h) - 17*c(h). Let v be o(4). Calculate the greatest common factor of 16 and v. 16 Let q(j) = j**2 + j + 1. Let p be q(2). Suppose -2*x = 2*x - 708. Suppose -5*l + x = -o, 4*l = -0*l - o + 138. What is the greatest common factor of p and l? 7 Let a = -18 + 21. Calculate the highest common factor of a and 1. 1 Let i = -60 - -80. What is the highest common factor of i and 220? 20 Let w(d) = -3*d - 2. Let a be w(-6). Suppose 0 = -f + 3*f - a. Suppose -5*y + 10 = 2*k - 10, 3*y + 12 = 0. Calculate the highest common divisor of k and f. 4 Suppose 4*i - 53 + 257 = 5*o, 158 = 4*o + 2*i. What is the highest common factor of o and 10? 10 Suppose 6*v = v - 5*q + 40, -4*v - 5*q + 33 = 0. Calculate the greatest common divisor of 63 and v. 7 Let d be 6 + 2 + -4 + 104. Let o(t) = 28*t - 1. Let x be o(1). Calculate the greatest common factor of d and x. 27 Suppose 31 + 14 = 3*a. Let k = 22 - a. Calculate the highest common factor of 21 and k. 7 Suppose 54*g - 154 = 47*g. What is the highest common factor of g and 88? 22 Let f be (32/(-6))/((-1)/3). Let p be (-3 - (-21)/3) + 1. Let u = f - p. Calculate the highest common divisor of 99 and u. 11 Let v = -104 + 158. Calculate the greatest common divisor of v and 81. 27 Let u = -39 - -79. Calculate the highest common factor of u and 8. 8 Let h be 272/6 - (-1)/(-3). Suppose 0 = 37*m - 61 - 124. Calculate the greatest common divisor of m and h. 5 Let j be (-40)/(-3) - (-14)/21. Calculate the greatest common factor of j and 2. 2 Let v(x) = -x**3 + 22*x**2 - 20*x + 9. Let z be v(21). What is the highest common factor of z and 240? 30 Let y be (-1908)/53*(2/(-4) + -1). Calculate the highest common factor of 36 and y. 18 Let q(n) = 4*n - 1. Let d = 5 - 2. Let c be q(d). What is the greatest common divisor of c and 99? 11 Let k be 119 + (4/(-10))/((-2)/5). What is the highest common divisor of 10 and k? 10 Suppose 0 = -4*r - 26 + 66. Let z(j) = -j + 2. Let f be z(-6). Let k be -5*(1 - (-3 + f)). What is the greatest common factor of k and r? 10 Let u(b) = -b**3 - 13*b**2 + 15*b + 29. Let a be u(-14). What is the highest common divisor of 60 and a? 15 Let y(u) = u**3 - 5*u**2 - 6*u - 3. Let m be y(5). Let z be -1*(2 + m) + 0. Suppose -5 = 2*j - z. What is the highest common divisor of 143 and j? 13 Let f(c) = -9 + 5 + 5 + 49*c. Let r be f(1). Suppose -3*u = 2*u - r. Calculate the highest common factor of 2 and u. 2 Suppose -2 = 2*t - 10. Suppose -4*o = -2*m - 70, t*o + 4*m - 86 + 34 = 0. What is the greatest common divisor of o and 32? 16 Let h(g) = -2*g + 1. Let u(a) = -a. Let b(c) = h(c) - 3*u(c). Let f be b(7). Suppose -2*k + 40 = -f. What is the highest common divisor of 16 and k? 8 Let r(d) = -d + 9. Let g be r(7). Suppose 5*u - 1 = -5*m + 4, 5*m - u = 35. Suppose m*z - g*z = 4. Calculate the highest common factor of 9 and z. 1 Suppose 0 = -g - 2*c + 1, -4*g = g + c - 41. Let x = 35 + g. Calculate the highest common factor of x and 11. 11 Suppose -5*h = 3*a + 11, 2*a - 3*h - 15 = a. Suppose -a*f = -3*d + 8 - 2, 14 = 5*f + d. What is the highest common factor of 18 and f? 2 Let s(n) = n**2 - 4*n + 10. Let h be s(3). Calculate the greatest common factor of h and 7. 7 Let j(n) = -n**3 + 3*n**2 + 3*n - 3. Suppose 2*l + l = 6. Let c be j(l). What is the highest common factor of 28 and c? 7 Let m(k) = 9*k**2 + 3*k - 1. Let z be m(-3). Suppose -124 = -5*j + z. Calculate the greatest common factor of 13 and j. 13 Let u = -58 - -72. Calculate the highest common divisor of u and 126. 14 Let c(q) = 3*q**2 - 1. Let z = -2 - -6. Suppose z*i + 4 = -0*i. Let k be c(i). What is the greatest common divisor of 22 and k? 2 Suppose -4*w + 5*z = -61, 3*z - 11 + 70 = 4*w. Calculate the greatest common factor of w and 7. 7 Suppose -100 = 2*c - 6*c. Suppose 0 = -d + 6 + 4. What is the highest common divisor of c and d? 5 Suppose 0 = 5*s + 4*r - 65 - 41, 0 = 5*s - 3*r - 113. Calculate the greatest common divisor of s and 33. 11 Let x = -4 + 8. Let r be ((-18)/x)/((-15)/40). What is the highest common divisor of r and 84? 12 Let g(s) = 2*s**2 - 3*s + 9. Let q be g(6). What is the highest common factor of q and 7? 7 Suppose o + 4 = 5*o. Suppose -2*q + 5*j - 1 = 0, 3*j - o = -q + 2*q. What is the highest common divisor of q and 2? 2 Suppose 9 = 3*u, -11 = a - 2*a - 2*u. Suppose -51 = -5*s + 4*h + 346, 2*s - a*h - 152 = 0. What is the greatest common divisor of 27 and s? 27 Suppose -2*q + 156 = 3*h - 0*h, 390 = 5*q + 3*h. What is the highest common divisor of q and 52? 26 Suppose -16 = -7*t + 47. What is the highest common divisor of 45 and t? 9 Let n = -99 - -107. What is the highest common divisor of 8 and n? 8 Suppose -4*j = j - 1140. Let a be (-1 + 3)/(8/j). Let k = 129 - a. Calculate the greatest common factor of k and 9. 9 Let q = -8 + 4. Let p = 0 - q. Suppose -p*i + 131 = 19. What is the greatest common factor of i and 70? 14 Let v = -159 - -361. Let i = v - 132. What is the greatest common divisor of i and 28? 14 Let p(g) = -28*g - 16. Let r be p(-3). What is the greatest common factor of r and 34? 34 Let t be (38/4 - -1) + (-78)/52. Let y = 20 + -2. Calculate the greatest common factor of t and y. 9 Let j(c) = 2*c**2 - c. Let i be j(2). Let x = 10 - i. Suppose -4*o - 12 = -z, 0 = 2*z + 2*o + 3*o - 50. Calculate the greatest common factor of z and x. 4 Let l be (-14)/63 + 1667/9. Suppose -3*i = 5*t - 95, -5*i - 3*t = -0*t - l. Calculate the greatest common divisor of i and 10. 10 Let z = 35 - 24. Suppose 3*r - 104 = -2*y + y, 3*r - 2*y - 89 = 0. Calculate the highest common factor of z and r. 11 Let k be (-5)/(50/(-56))*5. Suppose -q - k = -2*q. What is the greatest common factor of q and 70? 14 Suppose 3*r = -2*r. Suppose l = -r*l + 10. Calculate the greatest common divisor of 10 and l. 10 Let b(y) = -88*y. Let j be b(-1). What is the greatest common divisor of j and 8? 8 Suppose -209 - 381 = -5*i - 5*r, 0 = i - 2*r - 133. Calculate the highest common factor of i and 41. 41 Suppose -3*z + 2*z = -3. Suppose -4*a - 3*k = -63, -4*k - 8 = -28. Calculate the highest common divisor of a and z. 3 Let y = 77 + -44. Suppose 0*q = -q - 2. Let n be 22/(0 + (-1 - q)). Calculate the highest common divisor of y and n. 11 Let d(n) = n**3 + 21*n**2 + 16*n + 64. Let k be d(-20). Calculate the greatest common divisor of 9 and k. 9 Let s(l) = l + 25. Let m be s(-8). Let q(k) = -k**3 - 7*k**2 - 9*k - 9. Let t be q(-6). Suppose 3*x - t = 42. What is the highest common factor of x and m? 17 Let d(w) = w**2 + 2*w + 6. Let f be d(-5). What is the greatest common divisor of f and 63? 21 Suppose -3*h = -5*h + 10, -2*w - 3*h + 155 = 0. Calculate the highest common divisor of 7 and w. 7 Let j be (3 - 2 - 1) + 14. Let v(y) = -y**3 - 8*y**2 - 8*y - 6. Let p be v(-7). Let f be ((-7)/(-4))/(p/4). What is the highest common factor of f and j? 7 Let s = 40 - 29. Suppose -3*x + 4*x - s = 0. Calculate the highest common factor of x and 77. 11 Let o = 33 + -18. Calculate the highest common factor of 105 and o. 15 Let t = -14 + 56. Calculate the highest common factor of t and 7. 7 Suppose -2*f + 275 + 283 = 0. Suppose -4*m - 380 = 4*r, -3*m = -0*r + r + f. Let a = 34 - m. Calculate the greatest common factor of 14 and a. 14 Suppose 0 = -5*o - 20, 2*f + o + o - 382 = 0. What is the highest common factor of 15 and f? 15 Let y be (-26)/(-6) + -2 - (-3)/(-9). Let n = -5 + 8. What is the highest common factor of n and y? 1 Let a be 24/(-9)*3/(-2). Suppose -a*y + 3*o = -43, y - 5*o - 8 - 7 = 0. Let t = 69 - 29. What is the highest common divisor of t and y? 10 Suppose -2*i = -i - 62. Suppose -4*o - 12 = -2*l, 5*l - i = -o + 3*o. What is the greatest common divisor of l and 28? 14 Suppose -3*j - 2 = -8. Suppose 5*a = -2*o + 30, 0 = -j*a + o + 3 - 0. Let y = a - -16. What is the greatest common divisor of 5 and y? 5 Let q = 74 + -44. Let j = 31 - 18. Suppose -j = -u - 3. What is the greatest common factor of q and u? 10 Let s = -6 + 2. Let d be (-414)/s + (-1)/(-2). Suppose 5*j - 7 = 2*h - h, -5*j + 33 = h. What is the highest common divisor of h and d? 13 Let h(u) = u**3 +
{ "pile_set_name": "DM Mathematics" }
rder. 75, g, 0, -4 Let z = -7 + 2. Let f be ((-12)/(-150))/(410/100 - 4). Sort z, f, -0.1 in increasing order. z, -0.1, f Suppose v + 4 = -1. Let k be (16/(-10))/4*-30. Let y be 3/(k/20) - -3. Sort -4, y, v. v, -4, y Suppose -12*z - 2*o + 141 = -13*z, -414 = 3*z - 3*o. Let p be 0 - -5 - z/(-15). Suppose -30 = 5*j - 4*c, 0*j - 3*c + 5 = 5*j. Sort -8, j, p in ascending order. -8, p, j Let d = -1808.9 + 1807.9. Let f = -3 + 2.5. Put -0.4, d, f, 7 in increasing order. d, f, -0.4, 7 Let d = 107.7 - 108. Put -5, d, -1/5, -9 in descending order. -1/5, d, -5, -9 Suppose 0 = -q - 4*j - 0*j - 3, -j = 4*q - 18. Sort -3, -4, q, 2 in descending order. q, 2, -3, -4 Let w = 6 - 2. Let d(j) = -4*j**3 - j**2. Let x be d(-1). Suppose -x*l = -1 + 16. Sort -1, w, l. l, -1, w Let j = 3 + -1.5. Let o = -1 + j. Let p be (-18)/24 + (-94)/(-104). Sort 5, o, p in descending order. 5, o, p Let h = -4 + 12. Let z = -570 + 566. Let v = z + h. Sort -0.3, -0.05, v in ascending order. -0.3, -0.05, v Suppose -u - 21 = 2*u - 3*d, 0 = -3*u + 5*d - 29. Suppose 4 = 2*j - 4*k, 0 = 5*j + k - 1 + 2. Sort j, 2, u, -4 in decreasing order. 2, j, u, -4 Suppose 0 = -23*y + 29*y - 30. Put -4, -2, y in descending order. y, -2, -4 Let j(x) = 91*x - 814. Let a be j(9). Sort a, 150, 3 in descending order. 150, a, 3 Suppose -d - 13 = -3*c, -5*d - 4 + 3 = c. Suppose c*m - 5*w - 7 = 3*m, 3*w = 5*m + 9. Sort -1/5, m, 0, 1. m, -1/5, 0, 1 Suppose -3*i - y = -i + 9, -15 = 5*i + 5*y. Let l = i + 2. Let v = 37 - 33. Put v, l, 0 in descending order. v, 0, l Suppose -4*k + 3*q = 32, 5*k + 8*q - 10*q + 33 = 0. Put -3, -25, 5, k in decreasing order. 5, -3, k, -25 Let y = 512 + -2045/4. Sort y, -2/55, -0.06, -4/9 in decreasing order. y, -2/55, -0.06, -4/9 Let g(z) = -z**3 + z**2 - 5*z + 35. Let m be g(3). Let q = -2 + 5. Sort 6, -1, m, q in descending order. 6, q, m, -1 Suppose -4*d = d. Let r(y) = y**3 + 7*y**2 + 2*y + 18. Let g be r(-7). Sort d, g, -4. -4, d, g Let q = -4293/7 + 647. Let a = 34 - q. Sort -3, a, 0.7, 0 in ascending order. -3, 0, a, 0.7 Let v = -0.185 + 0.685. Sort v, -0.1, -5/2, -4. -4, -5/2, -0.1, v Let o be (9/(-8))/((-6)/8). Let n = 8 + -4. Let k = 352 - 356. Sort n, k, o. k, o, n Let n = -342 - -338. Put -3, n, -4/3, -1/6 in increasing order. n, -3, -4/3, -1/6 Let n = 0 - 3. Let f(p) be the second derivative of p**5/20 - p**4/6 - p**2 + 4*p. Let v be f(2). Put 0, n, v in ascending order. n, v, 0 Let v = 7.01 + 1.77. Let p = -0.28 + v. Let w = 9 - p. Sort 4/9, 2/11, w. 2/11, 4/9, w Suppose -4*v - 2 + 82 = 0. Sort -3, v, 2 in increasing order. -3, 2, v Let v(p) = p - 1. Let f be v(-2). Let x = 21447 + -21449. Sort x, 4, f in decreasing order. 4, x, f Let w(p) = 11*p + 32. Let q be w(-3). Sort q, -0.2, 9/5 in ascending order. q, -0.2, 9/5 Suppose -4*d + 11 + 1 = 0. Suppose d*r - 36 = -3*n, 0 = -2*n - 2*n - 8. Sort r, 0, -3. -3, 0, r Suppose 2*y = 3*v - 39, 12*v = 5*y + 7*v + 100. Sort y, 3, 4. y, 3, 4 Suppose 37 = 6*w - 11. Let o be ((-48)/18)/(w/12). Sort o, 3, -5 in decreasing order. 3, o, -5 Let f = -6 + 10.3. Let x = -4 + f. Let d = 4259 + -4254. Sort d, -10, x. -10, x, d Let u(f) = -f**3 + 10*f**2 - 17*f + 9. Let q be u(8). Put -1, -4, q in descending order. q, -1, -4 Suppose -4*h = -16*h - 72. Suppose -12 = -4*v + 2*d, -2*v - 2*d + 4*d + 6 = 0. Sort 5, v, h in descending order. 5, v, h Let s = -2 + 5. Let o = -112.3 + 117. Let q = o + -5. Sort s, q, 1/5 in increasing order. q, 1/5, s Let v = -8.1 + 8. Suppose -33 = 9*i + 3. Put -3/2, i, 0.5, v in ascending order. i, -3/2, v, 0.5 Suppose -180 = -11*d + 20*d. Let r be (1 + (-26)/4)*-4. Let s = d + r. Sort s, -1, -4. -4, -1, s Suppose -17*u + 196 = -3*u. Put 2/11, 3/7, -2, u in decreasing order. u, 3/7, 2/11, -2 Let x = 2/13 + -21/52. Let m(l) = -7*l**2 + 50*l - 6. Let k be m(7). Sort 2/5, x, k in decreasing order. k, 2/5, x Suppose -20 = -9*w + 4*w - 3*l, 0 = w - 2*l - 4. Suppose v = -o, w*v - o = 3*o + 8. Put v, -5, -4 in decreasing order. v, -4, -5 Let k be (2 - 1)*(1 - (4 - 2)). Sort 220, -2, k in increasing order. -2, k, 220 Let g(i) = -25*i**2 - 42*i - 43. Let t be g(-1). Sort -5, t, -2, -1 in increasing order. t, -5, -2, -1 Suppose 0 = 5*f - 399*v + 404*v + 5, -4*v + 5 = f. Suppose i - 25 = 6*i - 4*c, 5*i = -4*c - 25. Sort 1, 3, i, f. i, f, 1, 3 Let p = -665.95 + 666. Put 2/19, p, 0.01 in ascending order. 0.01, p, 2/19 Let k(f) = 15*f**3 + f**2. Let j be k(-1). Let g be (-18)/(-14) - (-4)/j. Let v be ((-8)/48)/(1 + (-1)/4). Sort 0.5, g, v in decreasing order. g, 0.5, v Let z = 0.021 - -23.979. Let g = z - 30. Let k = 1 + g. Put k, -0.2, 1/8 in decreasing order. 1/8, -0.2, k Let f = 17 + -17.04. Let m = -0.36 + f. Sort 12, -3, m in descending order. 12, m, -3 Suppose -2 = m - 6. Let c(z) = z**3 - 5*z**2 + 48*z - 332. Let p be c(6). Put 0, p, m in increasing order. p, 0, m Suppose -4*n = -2*d - 10, -2*n - 9 - 11 = 4*d. Let x be 2*(-1 - 102/(-4)). Let i = -51 + x. Put -5, i, n in ascending order. -5, i, n Let z = -1 - 1. Let q = 31.982 - -0.018. Let o = q + -36. Sort 2/3, o, z. o, z, 2/3 Let f = 110.6 - 111. Let k = 6 - 9. Let g = -4 - k. Sort g, f, -1/2 in ascending order. g, -1/2, f Let q(w) = w**2 + 5*w - 2. Let s be q(-6). Let y(m) = -11*m + 44. Let k be y(5). Sort k, -2, s in decreasing order. s, -2, k Let p = -25 - -30. Suppose 2*k = 1 - 7. Let z be 3 - (10 + 1) - k. Sort 6, z, p in descending order. 6, p, z Let z = 64/615 - -213803/7995. Let r = z - 27. Sort -3, 0, r. -3, r, 0 Let s = 429 + -432. Put -1, 8, s, 0 in decreasing order. 8, 0, -1, s Suppose 5 = -5*t - 5. Suppose -2*z - 53 = -25. Sort 3, t, z. z, t, 3 Let k = 0.399 + -2.399. Put -46, 1, k in increasing order. -46, k, 1 Suppose -4 = 2*w - 8. Suppose w*o - 3*o = -4. Let r(u) = u**3 + 1. Let j be r(-1). Sort o, 3, j in increasing order. j, 3, o Suppose 64*q + 5*b - 11 = 68*q, 0 = -3*q + 5*b - 12. Put q, 0, 4 in increasing order. 0, q, 4 Let v = 86 + -87. Put v, -1/2, 0.1, 2 in ascending order. v, -1/2, 0.1, 2 Suppose 4*c - 16 = -4*o, 3*o - c = -0*o + 20. Let h = 90 + -86. Suppose 1 = 2*b - 1, 14 = 5*w + h*b. Sort w, o, 3 in increasing order. w, 3, o Let a = 6777/20 + -339. Let g = a - -21/40. Sort -5, 1, -3/2, g in decreasing order. 1, g, -3/2, -5 Let a = 41 + -40. Let v = -11 + 6. Put v, a, 2, 3 in descending order. 3, 2, a, v Let a be 1/(0 - (-5)/(-85)). Put 7, 3, a in ascending order. a, 3, 7 Let i = -58 - -58.09. Put i, -0.4, -0.3 in increasing order. -0.4, -0.3, i Suppose 105 = -124*a + 103*a. Let v(o) = 4*o + 5. Let z be v(-12). Sort 2, a, 1, z in decreasing order. 2, 1, a, z Let q = 0.35 - 0.05. Let z = 3 - 2.5. Let i = -6940 - -6935. Sort z, q, i in decreasing order. z, q, i Suppose -5*s - 10 = m + 7, m = s + 13. Suppose m*r - 3*g = 3*r + 29, -15 = 5*g. Suppose 0 = -2*x + t, -5*x + t + 2 = -x. Sort r, x, -3 in descending order. r, x, -3 Let j = 370 + -375. Put -2, 4, -53, j in decreasing order. 4, -2, j, -53 Let w = -2.3 + 1.8. Let g = w - -1.7. Let p = g - -1.8. Put 0.4, p, 5 in increasing order. 0.4, p, 5 Let j = 125.9 - 126. Put 0.12, 1/7, j in increasing order. j, 0.12, 1/7 Let z = 1519 + -1524. Put 1/35, -1/7, 13, z in descending order. 13, 1/35, -1/7, z Let s(w) = -8*w - 23. Let q be s(-3). Sort q, -11, 2 in descending order. 2, q, -11 Suppose 15 = -0*b + 5*b. Let s(r) = -2*r**3 + 127*r**2 - 59*r - 245. Let l be s(63). Put 0, l, b, 5 in decreasing order. l, 5, b, 0 Let n be 2 - 47*(1 + 0). Let i be (4/(-5))/((-6)/n). Let t = -10 - i. Sort 2, -2, t. t, -2, 2 Let t be 6/5*20/(-6). Suppose 0 = i - 3*z - 4, 3*i - 3*z - 8 = -2. Let b = i - t. Put -0.03, b, 0.4 in ascending order. -0.03, 0.4, b Let c = 0.0395 + 0.8605. Sort c, 1, 5/2 in increasing order. c, 1, 5/2 Let y = -3 + -9. Let f = y + 27. Let l = f - 12. Sort l, -2/7, 0. -2/7, 0, l Let d = 239 - 342. Put d, 0.2, 0.3 in increasing order. d, 0.2, 0.3 Suppose 0 = -2*w + 3*h + 2, -6*w + 3*h = -w + 4. Suppose -2*d + 3 = -3*d. Let b be (d - 1)*1*1. Put -3, b, w in descending order. w, -3, b Let p be (-2)/(-5) + 0 + (-30)/(-25). Let m = p - 9/5. Put m, 3, -4, -7 in descending order. 3, m, -4, -7 Let b be 1/(-7*5/9345). Sort b, 3, -2, 4. b, -2, 3, 4 Let y = 7.8381 - -0.1619. Put y, 3, 4/3 in descending order. y, 3, 4/3 Let u = 11/795 - 34/159. Put -0.46, 4/5, 5, u in ascending order. -0.46, u, 4/5, 5 Le
{ "pile_set_name": "DM Mathematics" }
first derivative of w(n). Let z(o) = 0. What is o? -6, 2 Let z(m) be the first derivative of -5*m**4/22 - 2*m**3/11 + 12*m**2/11 - 8*m/11 + 322. Find a, given that z(a) = 0. -2, 2/5, 1 Let k(t) = 10*t**2 - 6*t - 52. Let q(d) = 7*d**2 - 5 - 30 - 16*d + 8*d + 4*d. Let m(z) = 5*k(z) - 7*q(z). Find g, given that m(g) = 0. -3, 5 Let f(d) be the third derivative of d**8/1512 - 2*d**7/945 - 19*d**6/540 - 14*d**5/135 - d**4/9 - 9*d**2 - 13. Determine p so that f(p) = 0. -2, -1, 0, 6 Factor 47 + 95/2*x + 1/2*x**2. (x + 1)*(x + 94)/2 Let o(t) be the first derivative of t**4/4 + 57*t**3 - t**2/2 - 171*t + 14971. Determine c so that o(c) = 0. -171, -1, 1 Let f(v) = -2*v**3 - 5*v**2 + v - 2. Let m be f(-4). Factor -120*i**3 - 12 + m + 20*i - 135*i + 170*i**2 + 12*i**4 + 28*i**4 + 3*i**5 - 8*i**5. -5*(i - 3)*(i - 2)*(i - 1)**3 Let r = 1667 - 1667. Let l(c) be the third derivative of 1/84*c**8 + 0*c**5 + 0*c**4 + 0*c + 4/21*c**7 + 11*c**2 + 0*c**3 + 5/6*c**6 + r. Factor l(t). 4*t**3*(t + 5)**2 Let m(k) be the first derivative of k**4/6 - 166*k**3/3 - 2095. Factor m(r). 2*r**2*(r - 249)/3 Let p(t) be the third derivative of -t**7/1400 + t**6/120 + t**5/25 - 6*t**4/5 + 9*t**3 + t**2 + 10*t. Let m(r) be the first derivative of p(r). Factor m(x). -3*(x - 4)**2*(x + 3)/5 Let y be (2 + -7 + 4)*71/(-142). Factor -7*q - 13/2 - y*q**2. -(q + 1)*(q + 13)/2 Suppose -7*y = -5*y + 5*u - 93, 0 = -4*y - 5*u + 201. Factor -17*b - 1152 - 25*b - 2*b**2 - y*b. -2*(b + 24)**2 Let s(t) be the second derivative of -t**6/6 + 7*t**5/2 + 245*t**4/12 + 85*t**3/3 + 1556*t. Factor s(a). -5*a*(a - 17)*(a + 1)*(a + 2) Let c(a) = -16*a**2 + 1. Let s(x) = 52*x**2 - 343*x - 89. Let r(g) = 6*c(g) + 2*s(g). Factor r(k). 2*(k - 86)*(4*k + 1) Let y = -3793 + 14375/4. Let m = -199 - y. Factor -3/2*q**3 + 3/4 - 5/2*q + 3*q**2 + m*q**4. (q - 3)*(q - 1)**3/4 Let -220*c + 16*c**2 - 3*c**2 - 68*c**2 + 20*c**2 + 0*c**2 + 5*c**3 = 0. Calculate c. -4, 0, 11 Let u(p) = -p**3 + 9*p**2 + 5*p - 51. Let g be u(9). Let i be (0 - (-4)/g)*23/(-46). Solve -1/3*f**4 + f**3 + 0 + i*f - f**2 = 0. 0, 1 Let c(d) = 210*d**2 - 1340*d - 1550. Suppose 3*q + 2*m = -16, -6*m = 3*q - 5*m + 17. Let y(j) = 23*j**2 - 149*j - 172. Let o(a) = q*c(a) + 55*y(a). Factor o(n). 5*(n - 32)*(n + 1) Let y = -309 + 314. Let u(b) be the third derivative of 5*b**2 + 1/2*b**4 + 0 + 0*b - 1/30*b**y - 3*b**3. Factor u(k). -2*(k - 3)**2 Let j(c) be the first derivative of 7*c**6/3 - 298*c**5/5 + 1001*c**4/2 - 4454*c**3/3 + 1692*c**2 - 648*c + 261. Suppose j(u) = 0. Calculate u. 2/7, 1, 2, 9 Let q(u) be the third derivative of 0 + 0*u + 1/30*u**6 + 0*u**3 + 16/15*u**5 - 62*u**2 + 0*u**4. Determine h so that q(h) = 0. -16, 0 Determine g so that 225*g**3 + 133 - 6*g**4 - 4865*g**2 + 5325 + g**4 + 2975*g + 2780*g**2 + 10712 = 0. -2, 7, 33 Suppose -412/9*r**2 - 2/3*r**4 - 64/9*r - 98/9*r**3 + 256/9 = 0. Calculate r. -8, -1, 2/3 Let n be 77/22 + (-1)/(-2). Let -y**2 + 3*y**4 - 2*y**n - 10*y + 0*y**4 + 8*y - y**5 + 3*y**3 = 0. Calculate y. -1, 0, 1, 2 Let d(x) be the second derivative of x + 1/15*x**6 + 0*x**2 + 4*x**3 + 8/3*x**4 + 43 + 7/10*x**5. Solve d(w) = 0. -3, -2, 0 Let k(z) be the third derivative of z**6/160 - 13*z**5/10 - 107*z**4/8 - 54*z**3 + 77*z**2 + z. Factor k(n). 3*(n - 108)*(n + 2)**2/4 Let f be (90/(-105))/((-44)/(-77))*(-20)/(-6) - -7. Factor 0 - 4/3*k**3 - 128/3*k + 24*k**f. -4*k*(k - 16)*(k - 2)/3 Determine z so that -222*z - 96*z**2 - 22*z**3 - 2693 - 423*z - 75*z + 18*z**3 + 1093 = 0. -10, -4 Suppose 60 = 5*v + 4*g, 3*v = 2*g - g + 19. Suppose -v*a + 2*a + 276 = 0. Factor -y**3 + 5*y**3 - a*y**2 + 54*y**2 + 4*y. 4*y*(y + 1)**2 Factor 4/3*r**2 - 8*r - 160/3. 4*(r - 10)*(r + 4)/3 Solve -76*j**3 + 312*j**2 + 14*j**4 - 9*j**4 - 48*j + 4*j**5 - 200*j**2 + 3*j**4 = 0 for j. -6, 0, 1, 2 What is f in -56/11 + 366/11*f**2 + 62/11*f**3 + 42/11*f**5 - 104/11*f - 310/11*f**4 = 0? -1, -2/7, 2/3, 1, 7 Let n(u) be the third derivative of 0 + 1/360*u**6 + 1/36*u**5 + 0*u - 4/9*u**3 + 55*u**2 + 1/36*u**4. Solve n(y) = 0. -4, -2, 1 Let m(s) be the first derivative of 1/12*s**3 + 1/12*s**4 + 5*s + 1/240*s**6 + 5 + 0*s**2 + 1/32*s**5. Let r(g) be the first derivative of m(g). Factor r(b). b*(b + 1)*(b + 2)**2/8 Let d(s) = -s**3 + s**2 - s. Let t be d(0). Let p = -213743 + 855017/4. Determine f so that 0 + 3/4*f**5 + t*f - p*f**3 + 9/2*f**4 + 6*f**2 = 0. -8, 0, 1 Let d(l) be the second derivative of 5*l**4/24 + 205*l**3/6 - 415*l**2/4 + 863*l. Factor d(z). 5*(z - 1)*(z + 83)/2 Let a(o) be the second derivative of 7/4*o**5 + 235/6*o**3 + 10*o + 0 - 25*o**2 - 55/3*o**4. Determine n so that a(n) = 0. 2/7, 1, 5 Let z = -3 + 6. Suppose 0 = 720*a + 332*a. Solve 0*g**4 + a - 3/2*g + 15/8*g**z + 0*g**2 - 3/8*g**5 = 0. -2, -1, 0, 1, 2 Solve -21347*h**2 + 43496*h**2 + 1188 + 4*h**4 - 21645*h**2 + 80*h**3 + 1296*h = 0. -11, -3 Suppose 3*j + 9 = y, 5*y + j = -2*j + 27. Let r = -4332 + 4334. Factor 0*q**r - 3*q**2 - y*q**3 - 14*q**4 + 3*q**5 + 17*q**4 + 3*q**3. 3*q**2*(q - 1)*(q + 1)**2 Let g(u) = 155*u**3 + 3*u**2 + 10*u + 3. Let k be g(1). Solve 2/3*i**5 + 567*i**2 + 243*i + 55/3*i**4 + 0 + k*i**3 = 0 for i. -9, -1/2, 0 Let s(a) be the first derivative of -3*a**5/10 + 15*a**4/8 - 7*a**3/2 + 9*a**2/4 + 1713. Factor s(z). -3*z*(z - 3)*(z - 1)**2/2 Let m(r) be the third derivative of -r**10/30240 + r**9/1008 + r**5/30 + r**3/6 + 4*r**2 + 11. Let h(j) be the third derivative of m(j). Factor h(a). -5*a**3*(a - 12) Let z(u) be the first derivative of -u**7/7980 - u**6/855 + u**5/228 - 20*u**3/3 - 2*u**2 + 101. Let m(o) be the third derivative of z(o). Factor m(r). -2*r*(r - 1)*(r + 5)/19 Solve -128 + 2/5*a**3 - 56/5*a**2 + 352/5*a = 0. 4, 20 Let l(i) be the first derivative of -4*i**6/15 + 78*i**5/25 - 13*i**4 + 22*i**3 - 46*i**2/5 - 48*i/5 - 1405. Solve l(f) = 0. -1/4, 1, 2, 3, 4 Let m(n) be the third derivative of n**7/42 + 95*n**6/4 + 26691*n**5/4 - 411845*n**4/6 + n**2 - 4797. Factor m(p). 5*p*(p - 4)*(p + 287)**2 Let s(g) be the first derivative of g**5 - 25*g**4/2 - 20*g**3/3 + 100*g**2 + 630. Suppose s(j) = 0. What is j? -2, 0, 2, 10 Let r(p) = -p - 1. Suppose 4*y - 2*y + 225 = q, 4*y = 5*q - 447. Let s = 109 + y. Let l(m) = -m**2 + m + 8. Let d(w) = s*r(w) - l(w). Let d(b) = 0. Calculate b. -4, 1 Let k(r) be the first derivative of 37/6*r**3 - 51/16*r**4 + 1/8*r**6 + 1/10*r**5 + 115 - 10*r + 3/2*r**2. What is w in k(w) = 0? -5, -2/3, 1, 2 Let c = 42/463 - 125/6482. Let w(b) be the first derivative of -2/35*b**5 - c*b**4 + 0*b**2 - 20 + 0*b**3 + 0*b. What is t in w(t) = 0? -1, 0 Let q(a) be the first derivative of -5*a**3/3 + 305*a**2/2 - 1140*a + 84. Factor q(c). -5*(c - 57)*(c - 4) Factor -61*h**2 - 2165 + 2255 - 14*h**2 - 357*h. -3*(h + 5)*(25*h - 6) Suppose z - u - 21 = 0, -4*u + 105 + 45 = 5*z. Let n = -26 + z. Solve -1/2*j**2 + 2 + n*j = 0. -2, 2 Suppose 33*h + 5*h - 217 + 139 = -h. Factor 28/3 - 26/3*o - 2/3*o**h. -2*(o - 1)*(o + 14)/3 Let s be (70 - (-1263)/60) + (-6)/20. Factor -s - 3/4*t**2 + 33/2*t. -3*(t - 11)**2/4 Let j(i) = 3*i + 46. Let h be j(-14). Suppose -h*k + 186 = -2*l - l, l - 43 = -k. Let 39*o + 36*o**2 + 4*o**3 + k*o + 24*o + 27 + 81 = 0. Calculate o. -3 Let u be (-16)/(-20)*24/272. Let i = u - -396/1615. Find o, given that 0*o - 10/19*o**4 + 0 - 16/19*o**3 - i*o**2 = 0. -1, -3/5, 0 Let s(n) be the third derivative of n**8/1176 - 59*n**7/735 + 943*n**6/420 - 1853*n**5/210 - 242*n**4/3 - 560*n**3/3 + 2049*n**2. Suppose s(g) = 0. Calculate g. -1, 5, 28 Let r(t) be the first derivative of 33*t**4/16 + 21*t**3/2 + 147*t**2/8 + 27*t/2 - 2108. Factor r(s). 3*(s + 1)*(s + 2)*(11*s + 9)/4 Suppose 0 = 13*u - 6*u - 105. Factor -16*f**2 + 20*f - 150 + 38*f + 6*f**2 + u*f + 42*f. -5*(f - 10)*(2*f - 3) Let c = -845/1194 + 174/199. Factor 0 + 0*f + c*f**3 + 2/3*f**2. f**2*(f + 4)/6 Let b(v) be the first derivative of 2*v**5/105 + 113*v**4/42 - 2*v**3/21 - 337*v**2/21 + 452*v/21 - 1124. Solve b(a) = 0. -113, -2, 1 Let o = -852464 - -852466. Factor 8/5*w**o + 2/5*w**3 + 0 + 6/5*w. 2*w*(w + 1)*(w + 3)/5 Factor 2/9*j**2 + 6*j - 116/9. 2*(j - 2)*(j + 29)/9 Let n(k) = 22*k**2 - 2064*k + 492012. Let l(j) = 2*j**2 - 8*j - 2. Let b(m) = 10*l(m) - n(m). What is u in b(u) = 0? 496 Let q(b) be the first derivative of 4/9*b**3 + 0*b + 5/36*b**4 + 0*b**2
{ "pile_set_name": "DM Mathematics" }
of w(q) wrt q. -516*q**2 - 2 Let w(j) be the second derivative of -6*j**6/5 + 5*j**3/6 + 5*j. Find the second derivative of w(c) wrt c. -432*c**2 Let s(u) be the second derivative of 9*u**5/20 - u**3/3 - 6*u. What is the second derivative of s(k) wrt k? 54*k What is the first derivative of -1 + 2 + 17 + 0 + 18*u wrt u? 18 What is the third derivative of -16*z**2 + 39*z**2 - 56*z**6 + 65*z**6 wrt z? 1080*z**3 Let u(k) be the second derivative of -k**2 + 0 + 0*k**3 - 2/3*k**4 + 6*k. What is the first derivative of u(g) wrt g? -16*g Let k(g) = 44*g - 85. Let u(s) = 21*s - 43. Let b(d) = 3*k(d) - 7*u(d). Differentiate b(f) wrt f. -15 Let t(i) = -i - 5. Let p be t(-5). Let k(w) be the second derivative of -2*w**2 + 1/4*w**4 + p + 0*w**3 + w. Differentiate k(z) wrt z. 6*z Let u(t) be the third derivative of -t**5/20 + 11*t**3/6 + 2*t**2. Find the first derivative of u(s) wrt s. -6*s Let d(f) be the second derivative of f**8/840 - f**6/720 - 7*f**4/12 + 8*f. Let x(y) be the third derivative of d(y). Find the second derivative of x(j) wrt j. 48*j Let y be ((-3)/(-2))/((-5)/(-40)). Suppose y = g + 3*g. What is the derivative of -6 - 2*f**g + 4 - 2 wrt f? -6*f**2 Let i(t) = -t**2 - t + 36. Let k be i(0). What is the third derivative of z**2 - 2 + 2 + 32*z**3 - k*z**3 wrt z? -24 Let i(q) = -q**3 - q**2 - q + 1. Let p be i(0). Suppose 2*s + 12 = 4*c, p = -3*s - 5. Find the third derivative of 2 - c*z**2 + 2*z**3 - 2 wrt z. 12 Suppose 3*d = -d + 16. Let n be -5*3/((-15)/d). What is the second derivative of 2*u**3 + n*u**3 - 5*u**3 + u wrt u? 6*u What is the third derivative of -h**4 - 20*h**2 + 15*h**4 + 6*h**4 wrt h? 480*h Suppose 5*t = 26 - 1. Let x(r) = 10*r**5 + 7*r + 5. Let i(k) = 9*k**5 + 6*k + 4. Let h(p) = t*i(p) - 4*x(p). What is the second derivative of h(z) wrt z? 100*z**3 Let q(f) be the first derivative of -47*f**5/5 + f**2 - 5*f - 41. Find the second derivative of q(k) wrt k. -564*k**2 Let u(g) be the first derivative of g**3/3 + g**2/2 + 62*g + 55. What is the derivative of u(j) wrt j? 2*j + 1 What is the derivative of 15*d**4 - 96*d**2 + 96*d**2 - 22 - 7 wrt d? 60*d**3 Let z be (2/3)/(6/99). Find the first derivative of -26 + 0*g - 4*g + z + 18 wrt g. -4 Let y(u) = 4*u**2 + 4*u. Let k(o) be the first derivative of -4/3*o**3 - 2*o**2 - 2 + 0*o. Let z(l) = 4*k(l) + 3*y(l). Find the second derivative of z(i) wrt i. -8 Let s(a) = a**3 - 5*a**2 - 4*a - 8. Let z be s(6). Suppose w = 5*w - 20. Find the first derivative of -z + k + w + 0 wrt k. 1 Let m(n) = -6*n**3 + 17*n**2 - 5*n + 5. Let s(d) = 21*d**3 - 60*d**2 + 18*d - 18. Let p(h) = 18*m(h) + 5*s(h). Find the third derivative of p(u) wrt u. -18 Find the first derivative of 12 - p**4 - 3*p**4 - 5 + p**4 wrt p. -12*p**3 Let k(s) be the second derivative of s**8/112 + s**5/20 + 3*s**2/2 + 4*s. Let l(c) be the first derivative of k(c). Find the third derivative of l(q) wrt q. 180*q**2 Let g = 1 + 3. Suppose -g*u + 12 - 4 = 0. What is the third derivative of -9*r - 2*r**5 + 9*r - 2*r**u wrt r? -120*r**2 Let y(q) = 2*q**3 + q**2. Let k be y(1). What is the third derivative of -k*o**2 - o**2 + 3*o**2 + 4*o**2 + 2*o**6 wrt o? 240*o**3 Let d(x) be the second derivative of -x**6/30 - x**4/6 - x**2/2 - 4*x. Let c(r) be the first derivative of d(r). What is the second derivative of c(s) wrt s? -24*s Find the second derivative of -3*l**5 - l + 4*l**5 - 9*l**5 - 9*l wrt l. -160*l**3 Let c(r) be the first derivative of r**6/10 - r**2 + 3*r + 3. Let p(o) be the first derivative of c(o). What is the first derivative of p(u) wrt u? 12*u**3 Let p(o) = -11*o**4 - 3*o**3 - 3*o**2 + 21*o - 3. Let j(q) = -q**4 - q**3 - q**2 + q - 1. Let y(c) = 3*j(c) - p(c). Find the second derivative of y(h) wrt h. 96*h**2 Let s(o) be the second derivative of o**5/20 - 4*o**3/3 + 6*o. What is the second derivative of s(j) wrt j? 6*j Suppose -3*g = -4*n - 20, 0*g = -g + n + 7. Suppose 24 = 4*s + g. Find the third derivative of -4*a**2 - a**4 + 5*a**s + 3*a**2 wrt a. 96*a Let m(a) = a**3 + 3*a**2 - 5*a - 4. Let y = 6 + -10. Let q be m(y). Find the second derivative of 4*s - 3*s + q + 0 + 2*s**5 wrt s. 40*s**3 Let l(b) be the second derivative of -5*b**8/56 + b**4/12 - 6*b. Find the third derivative of l(o) wrt o. -600*o**3 What is the derivative of -2 - 4 + 4 - 1 + 3*s wrt s? 3 Let z(i) = -3*i - 10. Let m(y) = -5*y - 19. Let g(c) = -4*m(c) + 7*z(c). Differentiate g(w) with respect to w. -1 Let p = -5 - -14. Find the third derivative of -3*l**5 + 12*l**5 - p*l**2 - 3*l + 3*l wrt l. 540*l**2 Let c(f) = -f**2 - 3*f + 1. Let u be c(-2). Suppose 0 = 3*q - u*d - 3, 4 + 7 = q + d. Find the third derivative of -4*i**2 + 0*i**2 + 6*i**2 - 2*i**q wrt i. -240*i**3 Let b(q) = -5*q + 16. Let h(m) = -6*m + 15. Let z(f) = -5*b(f) + 4*h(f). What is the first derivative of z(l) wrt l? 1 What is the third derivative of -13*b + 12*b**4 - b**2 - 16*b + 29*b wrt b? 288*b Let k(s) be the third derivative of s**6/60 - s**5/60 + 7*s**4/6 - 43*s**2. Find the second derivative of k(l) wrt l. 12*l - 2 Suppose -5*h = -49 + 14. What is the first derivative of 4*o**3 - 4*o + 4*o + 0*o**3 + h wrt o? 12*o**2 What is the third derivative of -7*s**2 - 3*s**5 + 1071 - 1071 wrt s? -180*s**2 Let i = -3 + 6. Let o(m) = -3*m**2 + 4. Let w(x) = x**3 - 5*x**2 + 7. Let t(v) = i*w(v) - 5*o(v). What is the first derivative of t(u) wrt u? 9*u**2 Suppose -41 = -5*i + 4*h, 0*i + 23 = 3*i - 4*h. Differentiate -i*f**2 + f**3 - 1 + 9*f**2 wrt f. 3*f**2 Let z(p) be the third derivative of -p**7/15 - 7*p**4/24 + 10*p**2. Find the second derivative of z(w) wrt w. -168*w**2 Suppose 2*b = 6*b. Find the third derivative of 2*o**3 + b*o**3 - 5*o**2 + 2*o**2 wrt o. 12 Let n(i) be the third derivative of i**7/630 + i**5/60 - i**4/24 + i**2. Let m(t) be the second derivative of n(t). What is the derivative of m(d) wrt d? 8*d Let y = 5 + -4. Let t be -1 + 1/y + 4. What is the derivative of r + t + 0*r - 2 wrt r? 1 Let c(v) = -v**4 - v**3 + v**2. Let a(y) = 3*y**4 - 6*y**3 + 6*y**2 + 13*y. Let n(d) = -a(d) + 6*c(d). Find the second derivative of n(b) wrt b. -108*b**2 Let q(j) = -25*j**2 + 23*j + 4. Let b(s) = 25*s**2 - 23*s - 5. Let f(c) = 4*b(c) + 5*q(c). What is the second derivative of f(y) wrt y? -50 Let k(h) be the first derivative of -8*h**2 + 5*h - 6. Find the first derivative of k(s) wrt s. -16 Let i(p) be the third derivative of -p**7/210 - p**3/6 - 8*p**2. Differentiate i(m) with respect to m. -4*m**3 What is the second derivative of -8*a**4 + 15*a**4 - 8*a - 4*a - a wrt a? 84*a**2 Let w(g) = -2. Let s(l) = 6*l - 3. Let j(y) = 2*s(y) - 4*w(y). What is the first derivative of j(z) wrt z? 12 Let l(a) = 13*a**2 + 6*a + 6. Let d(k) = k**3 - k**2 - k - 1. Let i(r) = 6*d(r) + l(r). Find the third derivative of i(y) wrt y. 36 Let y(g) be the second derivative of g**8/7 + 5*g**4/12 - 7*g. Find the third derivative of y(q) wrt q. 960*q**3 Let b(o) be the first derivative of -5*o**4/2 + 16*o + 13. Differentiate b(i) wrt i. -30*i**2 Find the first derivative of 10*k**2 - 172*k + 5 + 172*k wrt k. 20*k Let o(i) be the second derivative of i**7/21 + i**3/3 - 13*i. Find the second derivative of o(x) wrt x. 40*x**3 Let u = 0 - 4. Let y(v) = -19*v**4 - 9*v**2 + 9*v + 1. Let g(b) = -9*b**4 - 4*b**2 + 4*b + 1. Let k(j) = u*y(j) + 9*g(j). What is the derivative of k(h) wrt h? -20*h**3 Let q = 1 - 3. Let c(k) = -3*k**2 - 3*k - 2. Let r(o) = 16*o**2 + 16*o + 11. Let i(v) = q*r(v) - 11*c(v). Find the second derivative of i(p) wrt p. 2 Let r(t) = -t**2 - 18. Let d be r(0). Let i be d/21*(2 - 9). What is the third derivative of -12*o**i + 3*o**2 - 3*o**5 + 3*o**5 + 9*o**6 wrt o? -360*o**3 Let d(b) = -5*b**2 - 2. Let w(u) = 4*u**2 + 2. Let m(t) = 3*d(t) + 4*w(t). Let i be m(2). What is the third derivative of 6*q**6 + q**2 - q**6 - 3*q**i wrt q? 240*q**3 Let l(p) be the second derivative of p**5/5 + 3*p**4/4 + 11*p. What is the third derivative of l(z) wrt z? 24 Let y = 2 - 0. Find the first derivative of -y*m - 4 + 3*m - 5*m wrt m. -4 What is the third derivative of -44*k**2 + 81*k**2 + 3*k**5 - 46*k**2 wrt k? 180*k**2 Let m(r) be the third derivative of -5*r**2 + 0*r**4 - 7/6*r**3 - 7/60*r**5 + 0 + 0*r. Differentiate m(g) with respect to g. -14*g Let i(g) = -g**2 + 7*g - 6. Let d be i(5). What is the th
{ "pile_set_name": "DM Mathematics" }
*2 + 1270 - 1270. 2*t**2 Collect the terms in -700 + 2*w**2 - w**2 - 391 + 230. w**2 - 861 Collect the terms in 50*k**3 + 48*k**3 + 45*k**3. 143*k**3 Collect the terms in 5 + 0*n - 9 - 9 + n. n - 13 Collect the terms in -76 + 21*v + 76. 21*v Collect the terms in -3 - 2*r**2 - 17*r + 7 - 4. -2*r**2 - 17*r Collect the terms in -2*i**2 + 5*i**2 + 6*i**2 - 15*i**2 + 29*i**3 + 5*i**2. 29*i**3 - i**2 Collect the terms in 0 + 0 - 2*f**3. -2*f**3 Collect the terms in -7*o**2 - 7*o**3 + 10*o**2 - 3*o**2. -7*o**3 Collect the terms in -25208*w - 25207*w + 50413*w. -2*w Collect the terms in -16*z - 10*z + 27*z. z Collect the terms in -2*o**3 - 8*o + 3*o**3 - 9*o. o**3 - 17*o Collect the terms in 4*x + 4*x + 2*x + x. 11*x Collect the terms in -397*a**2 - 398*a**2 + 783*a**2. -12*a**2 Collect the terms in 9*k**3 + 9*k**3 + 8*k**3 + 9*k**3. 35*k**3 Collect the terms in -9*k - 2*k + 36*k + 33*k. 58*k Collect the terms in -9*d**3 + 23*d**3 + 9*d**3. 23*d**3 Collect the terms in -24 - 15 + 5*q**3 + 39. 5*q**3 Collect the terms in -7*c - 15*c + 12*c. -10*c Collect the terms in -8*d**2 + 8*d**2 + 3*d**3 - 6*d**3. -3*d**3 Collect the terms in -12*w**3 + w**3 + 13*w**3. 2*w**3 Collect the terms in -o - o + o + 0. -o Collect the terms in 115 + 25*s**3 - 2*s - 115. 25*s**3 - 2*s Collect the terms in 31*r**2 - 6*r + 14*r - 8*r. 31*r**2 Collect the terms in 7*l - 2*l - 4*l + l. 2*l Collect the terms in -67114*h**3 + 8*h**2 + 67115*h**3 - 8*h**2. h**3 Collect the terms in 0*p + 26 - 5*p + 3*p. -2*p + 26 Collect the terms in -6*y**3 - 11*y**3 + 15*y**3. -2*y**3 Collect the terms in -980*h**2 + 488*h**2 + 488*h**2. -4*h**2 Collect the terms in -4*l + 28*l**2 - 34*l**2 + 4*l. -6*l**2 Collect the terms in -y + 2*y**3 + y + 4*y**3. 6*y**3 Collect the terms in -3*l + 2625*l**2 - 2635*l**2 + 3*l. -10*l**2 Collect the terms in -100*z**3 - 124*z**3 - 122*z**3 + 367*z**3. 21*z**3 Collect the terms in -2*u - 8*u**2 - u + 3*u. -8*u**2 Collect the terms in 132*p**3 - 71*p**3 - 72*p**3. -11*p**3 Collect the terms in 3 - 3 + 83*g**3 + 101*g**3. 184*g**3 Collect the terms in 0*i**3 + 4*i - 4*i - 11 + i**3. i**3 - 11 Collect the terms in 2*n - 4*n - 5*n + 2*n. -5*n Collect the terms in -s**3 - s**3 - 632*s**2 + 632*s**2. -2*s**3 Collect the terms in -37*m - 16*m + 32*m. -21*m Collect the terms in -60*h**3 + 81*h**3 + 115*h**3. 136*h**3 Collect the terms in 26*k**2 - 1 + 1. 26*k**2 Collect the terms in 5 + 22*g**3 - 3 - 2. 22*g**3 Collect the terms in 2 - 13*l**2 - 4*l**2 - 2. -17*l**2 Collect the terms in 19*i**3 + 14*i**3 - 34*i**3. -i**3 Collect the terms in 8*x**2 - 208*x**2 - 1160*x**2. -1360*x**2 Collect the terms in -3*d**2 - 4 - 13*d**2 + 4. -16*d**2 Collect the terms in 94*s - 22*s - 23*s - 25*s - 17*s. 7*s Collect the terms in 3*j**3 + 690*j**2 - 690*j**2. 3*j**3 Collect the terms in -4*h + 0*h + 13*h + 2*h. 11*h Collect the terms in 17*a**2 - 6 + 10*a**2 + 15*a**2. 42*a**2 - 6 Collect the terms in 37*i**2 - 31*i**2 - 29 + 29. 6*i**2 Collect the terms in -22*b**3 + 2*b - 3559 + 3559 - 2*b. -22*b**3 Collect the terms in -2*d + d - d - 5*d. -7*d Collect the terms in 100*s**3 + 102*s**3 - 333*s**3 + 113*s**3. -18*s**3 Collect the terms in 47*j + 31*j - 24*j. 54*j Collect the terms in -10 - 18 + 2*d + 28. 2*d Collect the terms in -538 - v**3 + 23*v**3 + 1071 - 533. 22*v**3 Collect the terms in -13*h - 41*h + 49*h. -5*h Collect the terms in 85*o**2 - 3*o + 3*o - 96*o**2. -11*o**2 Collect the terms in -21*i**3 + 7*i**3 + 6*i**3. -8*i**3 Collect the terms in -32*k**2 - 31*k**2 + 45*k**2 - 10*k**2. -28*k**2 Collect the terms in 1 - 163*b**3 - 1 + 152*b**3. -11*b**3 Collect the terms in 22 + l - 13 - 9. l Collect the terms in x**2 - 4*x - 2*x + 6*x. x**2 Collect the terms in -3 + 27*f + 3 - 34*f. -7*f Collect the terms in -211 + 211 + 0*z + 0*z + 14*z**2. 14*z**2 Collect the terms in 23*l - 44*l + 27*l. 6*l Collect the terms in -6*i + 11*i - 3*i + 12*i. 14*i Collect the terms in -2*b**2 + 9 + b**2 - 15 + 3*b**2. 2*b**2 - 6 Collect the terms in -14 - s - 84 + 98. -s Collect the terms in -25*g**2 + 33*g**2 - 19*g**2. -11*g**2 Collect the terms in 2*s + 11*s - 1 + 11*s - 14*s. 10*s - 1 Collect the terms in 78*a**3 - 157*a**3 + 78*a**3. -a**3 Collect the terms in 1233 - 3*q**3 - 2462 + 1225. -3*q**3 - 4 Collect the terms in 4 - 6 + 2 + 10*u**2. 10*u**2 Collect the terms in -8*m - 3*m + 10*m + m**3. m**3 - m Collect the terms in -52*r**3 + 24*r**3 + 23*r**3. -5*r**3 Collect the terms in -126*k**2 - 1 + 1. -126*k**2 Collect the terms in -6*u + 0*u + 6*u - 3*u. -3*u Collect the terms in -4 - 154*v**3 + 49*v**3 + 4. -105*v**3 Collect the terms in 10*d**3 - 193*d**3 - 132*d**3. -315*d**3 Collect the terms in -5*m - 9*m + 10*m. -4*m Collect the terms in 1 - 51*t**3 - 1 - 2*t**2. -51*t**3 - 2*t**2 Collect the terms in 56*s**3 - 23*s**3 - 31*s**3. 2*s**3 Collect the terms in -z**3 - 3*z**3 - 26*z**3. -30*z**3 Collect the terms in -w**2 + 0*w**2 - 13*w**2 - 19*w**2. -33*w**2 Collect the terms in -8 - 20*z**2 - 2*z**2 + 8. -22*z**2 Collect the terms in -4*k**3 + 0*k**3 - 18*k**3 - 13*k**3. -35*k**3 Collect the terms in -5*u**2 + 96*u**3 - 108*u**3 + 5*u**2. -12*u**3 Collect the terms in 20*k**3 + 26*k - 18*k - 8*k. 20*k**3 Collect the terms in -33*q**3 - 3 + 3. -33*q**3 Collect the terms in 167*j**3 - 315*j**3 + 154*j**3. 6*j**3 Collect the terms in -133*h - 3*h**2 + 133*h. -3*h**2 Collect the terms in 0*x**2 + x**2 - 4*x**2 + 7*x**2. 4*x**2 Collect the terms in 4*m - 6*m + 2*m - 86*m**2. -86*m**2 Collect the terms in -3 + 34*d + 37*d + 3 - 77*d. -6*d Collect the terms in 3 + 2 + 76*a - 5. 76*a Collect the terms in -2*l + 14*l + 0*l. 12*l Collect the terms in -2*w**3 + 21*w**3 - 5*w**3 - 11*w**3. 3*w**3 Collect the terms in 12*j**2 - 12*j**2 - 844*j**3. -844*j**3 Collect the terms in 3*v - 11*v**3 + 35*v**3 - 3*v. 24*v**3 Collect the terms in 355*c**2 + 50*c**3 - 354*c**2 + 43*c**3. 93*c**3 + c**2 Collect the terms in 2 + 2*l**3 - 2 + 3*l**3. 5*l**3 Collect the terms in 354438*a - 354438*a + 6*a**3. 6*a**3 Collect the terms in -1 - 1 - 11*r**2 + 2. -11*r**2 Collect the terms in 0*d + 7*d - 3*d - 3*d. d Collect the terms in 0 - 5 - 9 + 5 + 2*q. 2*q - 9 Collect the terms in -153 + 79 + 74 - 3*g**2. -3*g**2 Collect the terms in -140*s + 275*s - 132*s. 3*s Collect the terms in 30*s**2 + 36*s**2 - 47*s**2. 19*s**2 Collect the terms in 225*s - 112*s - 113*s - 4*s**3. -4*s**3 Collect the terms in 6*a + 11*a + 7*a - 40*a. -16*a Collect the terms in 30*t - 30*t - 21*t**3. -21*t**3 Collect the terms in -33 + 7*m**2 + 33. 7*m**2 Collect the terms in 17*o**2 + 18*o**2 - 24*o**2. 11*o**2 Collect the terms in -34 + 5*q**2 + 34 - q**2. 4*q**2 Collect the terms in 41*c**3 - 17*c + 33*c - 16*c. 41*c**3 Collect the terms in 11 + 17*v - 13 + 2. 17*v Collect the terms in 2*w + 3*w**2 - 3*w - 3*w - 2*w. 3*w**2 - 6*w Collect the terms in -10*r**2 - 7*r**2 + 2*r**2 + 3*r**2. -12*r**2 Collect the terms in 7 - 9*n**2 - 4*n - 1 - 6. -9*n**2 - 4*n Collect the terms in t**2 - 655 - 654 + 0*t**2 + 1309. t**2 Collect the terms in -19*r**2 + 2*r**2 - 6*r**2. -23*r**2 Collect the terms in -120*n**2 - 24 + 24. -120*n**2 Collect the terms in 590*o**2 - 73*o**2 + 29*o**2 + o**3. o**3 + 546*o**2 Collect the terms in 19*b - 40*b + 27*b. 6*b Collect the terms in 55 - 55 - 2*b**2. -2*b**2 Collect the terms in 0*s**2 + 0*s**2 - 6*s**2. -6*s**2 Collect the terms in 10*m - 42*m**3 - 29*m + 19*m. -42*m**3 Collect the terms in 26*t**2 - 90*t**2 - 125*t**2. -189*t**2 Collect the terms in -468 - 3*r + 731 - 263. -3*r Collect the terms in -3 - 19*f**3 + 16 - 13. -19*f**3 Collect the terms in 14662*m - 3*m**2 - 14662*m. -3*m**2 Collect the terms in -43*t**2 + 117*t + 45*t**2 - 525*t. 2*t**2 - 408*t Collect the terms in 6 - 5 + 16*q - 1. 16*q Collect the terms in -11*m - 3*m + m. -13*m Collect the terms in -5*w**3 + 4*w**3 + 438 - 31. -w**3 + 407 Collect the terms in 353 - 4*j - 353 - 2*j. -6*j Collect the terms in 5*p - 6*p - 11*p - 3*p. -15*p Collect the terms in -3 + 1 - 2 + 2*m + 1. 2*m - 3 Collect the terms in 23*y - 37*y + 8*y + 3*y + 2*y. -y Collect the terms in -2*v - 2*v + 16*v**3 + 4*v. 16*v**3 Collect the terms in 19*k**2 + 21*k**2 - 11*k**2 + 238*k - 237*k. 29*k**2 + k Collect the terms in -2059 - 2046 + j**2 + 4105. j**2 Collect t
{ "pile_set_name": "DM Mathematics" }
13272. Let r be ((-18)/45)/((-8)/(-30)). Which is the third biggest value? (a) r (b) -3 (c) s (d) 0.08 a Let r = 4.9 - 5. Let p = r + 3.1. Let k(y) = y**3 - 11*y**2 + 9*y + 15. Let x be k(10). Which is the biggest value? (a) x (b) -0.3 (c) p (d) 0.1 a Let b be (405/(-17280))/(2/((-6)/(-9))). What is the biggest value in -1/52, -0.3, b? b Let k = -0.0564 - 383.9436. Let x = -383.08 - k. What is the biggest value in -1, 0.2, x? x Let y = -13567 - -13569. What is the second smallest value in y, -0.17, -3/32? -3/32 Let t = 0.96 + -16.96. Let p = -642 + 638. What is the second smallest value in p, t, 0.4? p Let y = 1514 + -1514.1. Which is the fourth biggest value? (a) 15 (b) 2 (c) y (d) -7 d Let u(t) = -173*t + 689. Let g be u(4). What is the third biggest value in 3/2, 2/2001, g? g Let z(w) = -w**2 - 16*w + 38. Let l be z(-18). Let x = 0.02 + -0.42. What is the smallest value in l, 0.2, x? x Let f = -141.95 + 136. Let l = -2.95 - f. What is the smallest value in -3, -2, l? -3 Suppose -9*x = -14*x + 5. Let i be -1*x/14*-4. Let b = 5.7 - 6. What is the third biggest value in i, 1/4, b, 0.02? 0.02 Let m = -7716.8 - -7717. What is the smallest value in 583, -0.5, m, -1, 0.5? -1 Let u = -28.2 - 6.8. Let h = u + 31. Which is the second biggest value? (a) -0.5 (b) h (c) -0.06 (d) 4/7 c Let k be 105/84*32/100. Let m = -13 + 30. Let g = m - 12. Which is the fourth biggest value? (a) -7 (b) -0.2 (c) k (d) g a Let a = 0.02 + 0.28. Let b = 2294.8 + -2288.8. What is the third smallest value in -1/2, a, b? b Let d = -1181.92 - -1966. Let w = d - 784. What is the third smallest value in w, -9, -2? w Let f = -558 + 9484/17. Which is the biggest value? (a) 1478 (b) f (c) -1 a Let l = 3 + -2.8. Let p = -15598 + 15597.7. Which is the third smallest value? (a) p (b) 0.02 (c) 3/5 (d) l d Let h = -24534 + 24539. Let i = 31/15 + -7/5. Which is the third biggest value? (a) -6 (b) h (c) 1 (d) i d Let r = 13560 - 13559. What is the second smallest value in r, 34, 0.031? r Let d = -584 - -822. Let z = -233 + d. Which is the smallest value? (a) z (b) -2/161 (c) 0 b Let i = -35 - -46. Suppose -i*l - 33 = -0. Let y be l/(-77) + 6/42. Which is the third smallest value? (a) 1.9 (b) 1/6 (c) y a Let z = -401.5 + 401.76. Which is the third biggest value? (a) z (b) -0.26 (c) -2 c Let t = -367 + 375. Suppose 2*f - 4*r + 8 = -t, -2*r = f. Let v = 3 - 4. Which is the second smallest value? (a) 5 (b) v (c) f b Suppose -3*a = 2*x - 8, -38 = 5*a - 2*x - 14. What is the third biggest value in -5, a, 0? -5 Let r = -2293 - -2293. What is the second biggest value in r, 128, -1, 0.5? 0.5 Let n be 9/(-1 + 127) - 2/(-4). Let y = -27 + 17. Let g = y + 15. Which is the second biggest value? (a) n (b) g (c) 1/3 a Let o = 40.38 + -36.38. Which is the smallest value? (a) -1 (b) o (c) -4 (d) -2/307 c Let d = 7.9 + -8.3. Suppose 0 = 7*t + 3*t + 380. Let h = t - -262/7. Which is the biggest value? (a) d (b) h (c) -2/7 c Let i = 36695.9478 - 36701. Let n = 0.0522 + i. What is the third smallest value in 4, 2/65, -1, n? 2/65 Let s(a) = a**3 - 5*a**2 - 41*a + 182. Let q be s(4). Let g = 6.8 + -7. Let z = -19/4 - -657/140. What is the third smallest value in q, z, g? q Suppose 7*n - 701 = 125. Let i = n - 119. Which is the third biggest value? (a) -5 (b) i (c) 7 a Let n = -6255 - -31274/5. Which is the third biggest value? (a) 1.51 (b) 1/7 (c) 4 (d) n b Let m = -0.238 + 24.038. Let i = m - 19.8. What is the fourth biggest value in -5/2, i, -0.2, -1/8? -5/2 Let k = -7834 - -7832. Which is the fourth biggest value? (a) 4 (b) 2 (c) 4.7 (d) 8 (e) k b Let q = -15 + 10. Let k = 42 + 25. Let n = 67.3 - k. Which is the fourth biggest value? (a) n (b) -8 (c) q (d) -1/3 b Let f = 316 + -4110/13. Let b = -14 + 14.22. Let g = b - 0.42. What is the third smallest value in -4, f, -1/8, g? f Suppose 5*l + 4*o + 426 = -109, l - 5*o = -136. Let p = l + 553/5. Let x be 2*(0 + 13/2). Which is the third smallest value? (a) x (b) -0.5 (c) p a Let l = -1564.06107 - -0.06107. Which is the smallest value? (a) l (b) 0.2 (c) 0.3 a Let n = -6418 + 6416. What is the smallest value in 107, -4, n? -4 Let h = 7/12 + -3/4. Let m = 575 + -599.9. Let b = -24.6 - m. What is the third biggest value in 3, b, h? h Let y = -15392 - -107743/7. What is the biggest value in y, -3/2, 0.7? 0.7 Let s = 165.362 - 2.662. Let h = s - 162. What is the smallest value in h, -1/2, -1, 1/4? -1 Let h = 25.296 - 3.286. Let w = 22 - h. Let z = w - -0.21. Which is the biggest value? (a) 0.07 (b) z (c) 2 c Let f = -1.89072 - 0.10928. What is the fourth biggest value in -522, f, -1, -4? -522 Let g = 4/2725 + 8159/10900. What is the biggest value in -2, g, -0.4? g Suppose 20 = 4*g + 2*n, -8*g + 4*g + 8 = -4*n. Let k = 1029/13 + -17519/221. What is the third smallest value in -4, -3, g, k? k Let s = -3591 + 3594. Which is the biggest value? (a) 39.3 (b) s (c) 2/3 a Let n = -1.86 - -1.54. Let l = n + -0.18. What is the third biggest value in -1/13, l, 3, -3? l Let i = -2474.9 + 2273. Let b = i - -202. What is the second smallest value in b, -8, -6? -6 Let r be (-9)/4*(154/(-63))/(-11). Which is the third smallest value? (a) -416 (b) 2/7 (c) r (d) -4 c Let i = 146.252 + -0.252. Let o = -142 + i. Which is the smallest value? (a) -3 (b) -5 (c) 1 (d) o b Suppose -6*n + n = 0. Suppose 3*u = -l + 11 - n, u = -l + 5. Suppose -l*p - p - 15 = 0. Which is the second biggest value? (a) -3 (b) -4 (c) p b Suppose 122*h = 120*h - 2*f + 4, 5*h + 4*f - 9 = 0. What is the biggest value in 0.02, -1/2, -2/123, h? h Let i be (-3)/(-78)*(89 - 85). What is the third smallest value in 1, -5, i? 1 Let r = 4956.8 + -1897.8. Which is the biggest value? (a) 0.5 (b) r (c) -1/2 b Let v = 156.41 - 152.41. What is the second biggest value in -0.1, 0.19, 10, 0.2, v? v Suppose 5 = -5*g, 2 = -i - 2*g + 1. Let k = -6 + i. Let h be -1 - (4 - (0 - k)). Which is the third smallest value? (a) -2 (b) 2/7 (c) -1/4 (d) h d Let i(z) = -z**3 - 4*z**2 + 4*z - 5. Let f be i(-5). Suppose 7*r - r = f. Suppose r = k - 2 + 4. Which is the second biggest value? (a) -0.1 (b) k (c) 11 a Let c = 0.713 + -0.7811. Let i = 0.0291 + c. What is the second smallest value in 3, 0, i? 0 Let b = 21/2173 - 8905/1371163. What is the smallest value in -2/13, -4, b, 0.1? -4 Let d = -180239/7 + 25792. Let n(t) = t**2 - 17*t + 23. Let f be n(11). Let h = d + f. What is the biggest value in -2/19, h, 0.1? h Let f = -4286 + 4286.4. What is the smallest value in -4, 15, 5, f, -0.5? -4 Let m be (154/(-70))/(-11)*25. Let n be 48/64*10/3. Which is the fourth smallest value? (a) m (b) -2/11 (c) n (d) -7 a Suppose -1 = 3*g + o, -5*g - o + 65 = 66. Which is the smallest value? (a) 2 (b) g (c) 5/43 b Let v = 83 + -83.23. Let i = 0.131 + v. Let z = i - -0.199. Which is the third biggest value? (a) z (b) 1 (c) 0.03 (d) 2 a Let q be -4*(-1410)/24 - (3 - 4). Suppose -261 = 5*z - q. Which is the smallest value? (a) 1/11 (b) -2/15 (c) z c Let g(h) = -147*h + 737. Let y be g(5). Which is the fourth smallest value? (a) y (b) -15 (c) -0.5 (d) 2/13 a Let l = -6 + 5.6. Let j = -146.72 - -148. Let q = -0.98 + j. What is the biggest value in l, -4, q? q Let k = 0.143 + -0.443. Let t be (-1)/3 + 4/(-6). Let h = 0.4 - 0.4. Which is the second smallest value? (a) h (b) t (c) k c Let f = -103 + 122.6. Let r = -14.6 + f. Which is the biggest value? (a) -0.3 (b) r (c) -1/10 b Let o = 0.7 + -0.4. Let u = -67.92 - -68.62. Which is the biggest value? (a) o (b) 7 (c) u b Let l = -564 - -574. Let i = 285/2 - 140. Let c = 1.23 + -5.23. What is the second smallest value in i, 0.5, l, c? 0.5 Let m = -109.8 + 18.8. Let n = -82 - m. Let k = -8.8 + n. Which is the biggest value? (a) 52 (b) k (c) 3 a Suppose -4*g + 3*w - 5*w = 2, -2*w = -4*g + 18. Suppose -2 = g*n, 5*p + 15 - 39 = -n. Which is the second biggest value? (a) -4/3 (b) p (c) 1 (d) -0.3 c Let k be (-2)/9*-3*42/224. Let z = 1981.4 - 1981. Which is the smallest value? (a) k (b) 4/7 (c) z a Suppose -28*z + 3 = -2 + 5. Which is the third smallest value? (a) -4 (b) 0.49 (c) -5 (d) z d Let v = 1/7986 + -23965/55902. Let t = 11 + -6. Which is the second smallest value? (a)
{ "pile_set_name": "DM Mathematics" }
07 What is the square root of 3329 to the nearest integer? 58 What is the third root of 2646401 to the nearest integer? 138 What is 5164655 to the power of 1/3, to the nearest integer? 173 What is 125834 to the power of 1/7, to the nearest integer? 5 What is 21717281 to the power of 1/2, to the nearest integer? 4660 What is 4818035 to the power of 1/3, to the nearest integer? 169 What is the square root of 2858889 to the nearest integer? 1691 What is 64622 to the power of 1/7, to the nearest integer? 5 What is 1590002 to the power of 1/3, to the nearest integer? 117 What is 1127277 to the power of 1/2, to the nearest integer? 1062 What is the third root of 4242354 to the nearest integer? 162 What is the tenth root of 206307 to the nearest integer? 3 What is the cube root of 3181215 to the nearest integer? 147 What is the square root of 526616 to the nearest integer? 726 What is the cube root of 4568942 to the nearest integer? 166 What is the third root of 3399491 to the nearest integer? 150 What is 249175 to the power of 1/2, to the nearest integer? 499 What is 81087 to the power of 1/8, to the nearest integer? 4 What is 561491 to the power of 1/2, to the nearest integer? 749 What is the cube root of 7013904 to the nearest integer? 191 What is the fifth root of 210242 to the nearest integer? 12 What is 1930957 to the power of 1/2, to the nearest integer? 1390 What is 307857 to the power of 1/5, to the nearest integer? 13 What is the cube root of 178299 to the nearest integer? 56 What is 4680580 to the power of 1/2, to the nearest integer? 2163 What is 2401302 to the power of 1/2, to the nearest integer? 1550 What is the third root of 233406 to the nearest integer? 62 What is 211080 to the power of 1/2, to the nearest integer? 459 What is the fourth root of 8808413 to the nearest integer? 54 What is the cube root of 967199 to the nearest integer? 99 What is the sixth root of 11016881 to the nearest integer? 15 What is 166169 to the power of 1/2, to the nearest integer? 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1303 What is the square root of 1534864 to the nearest integer? 1239 What is the square root of 22654383 to the nearest integer? 4760 What is 140040 to the power of 1/2, to the nearest integer? 374 What is the tenth root of 541859 to the nearest integer? 4 What is 8484139 to the power of 1/6, to the nearest integer? 14 What is the cube root of 746936 to the nearest integer? 91 What is the third root of 678958 to the nearest integer? 88 What is 1005689 to the power of 1/7, to the nearest integer? 7 What is the third root of 2315622 to the nearest integer? 132 What is 645025 to the power of 1/2, to the nearest integer? 803 What is 279510 to the power of 1/2, to the nearest integer? 529 What is the eighth root of 6224602 to the nearest integer? 7 What is the square root of 996010 to the nearest integer? 998 What is 198296 to the power of 1/3, to the nearest integer? 58 What is 17621770 to the power of 1/6, to the nearest integer? 16 What is 131334 to the power of 1/6, to the nearest integer? 7 What is 852618 to the power of 1/10, to the nearest integer? 4 What is 369154 to the power of 1/2, to the nearest integer? 608 What is the fourth root of 1315132 to the nearest integer? 34 What is 1859011 to the power of 1/3, to the nearest integer? 123 What is 1114315 to the power of 1/6, to the nearest integer? 10 What is 39052908 to the power of 1/7, to the nearest integer? 12 What is the ninth root of 74492 to the nearest integer? 3 What is the third root of 3068903 to the nearest integer? 145 What is the sixth root of 14224411 to the nearest integer? 16 What is 221110 to the power of 1/9, to the nearest integer? 4 What is 751788 to the power of 1/3, to the nearest integer? 91 What is the cube root of 25225629 to the nearest integer? 293 What is 21337581 to the power of 1/2, to the nearest integer? 4619 What is the cube root of 254603 to the nearest integer? 63 What is 4384840 to the power of 1/2, to the nearest integer? 2094 What is 1416177 to the power of 1/9, to the nearest integer? 5 What is the third root of 222132 to the nearest integer? 61 What is 222624 to the power of 1/2, to the nearest integer? 472 What is 9204956 to the power of 1/2, to the nearest integer? 3034 What is 13710756 to the power of 1/2, to the nearest integer? 3703 What is the square root of 4297555 to the nearest integer? 2073 What is 10694674 to the power of 1/8, to the nearest integer? 8 What is the third root of 263354 to the nearest integer? 64 What is the cube root of 413263 to the nearest integer? 74 What is 12698254 to the power of 1/2, to the nearest integer? 3563 What is 8859817 to the power of 1/4, to the nearest integer? 55 What is 404968 to the power of 1/9, to the nearest integer? 4 What is the square root of 1992657 to the nearest integer? 1412 What is the fifth root of 1010728 to the nearest integer? 16 What is 956668 to the power of 1/2, to the nearest integer? 978 What is the cube root of 217711 to the nearest integer? 60 What is 134064 to the power of 1/3, to the nearest integer? 51 What is the square root of 11825505 to the nearest integer? 3439 What is 294741 to the power of 1/2, to the nearest integer? 543 What is 199541 to the power of 1/8, to the nearest integer? 5 What is the tenth root of 364333 to the nearest integer? 4 What is the tenth root of 524844 to the nearest integer? 4 What is 138312 to the power of 1/2, to the nearest integer? 372 What is 683768 to the power of 1/2, to the nearest integer? 827 What is 1237200 to the power of 1/2, to the nearest integer? 1112 What is the fifth root of 13382858 to the nearest integer? 27 What is 213677 to the power of 1/2, to the nearest integer? 462 What is 7738071 to the power of 1/3, to the nearest integer? 198 What is the seventh root of 115885 to the nearest integer? 5 What is the fifth root of 20617653 to the nearest integer? 29 What is the cube root of 3194368 to the nearest integer? 147 What is 2440567 to the power of 1/2, to the nearest integer? 1562 What is the cube root of 1066236 to the nearest integer? 102 What is 139933 to the power of 1/4, to the nearest integer? 19 What is 530862 to the power of 1/4, to the nearest integer? 27 What is the cube root of 30670 to the nearest integer? 31 What is 8219072 to the power of 1/2, to the nearest integer? 2867 What is 7985993 to the power of 1/8, to the nearest integer? 7 What is 1250261 to the power of 1/2, to the nearest integer? 1118 What is 4601853 to the power of 1/5, to the nearest integer? 22 What is 13467152 to the power of 1/2, to the nearest integer? 3670 What is the sixth root of 332552 to the nearest integer? 8 What is 4347283 to the power of 1/2, to the nearest integer? 2085 What is 2409292 to the power of 1/8, to the nearest integer? 6 What is the square root of 783913 to the nearest integer? 885 What is the square root of 30822303 to the nearest integer? 5552 What is the square root of 61471 to the nearest integer? 248 What is the third root of 394396 to the nearest integer? 73 What is the square root of 269575 to the nearest integer? 519 What is 1959249 to the power of 1/8, to the nearest integer? 6 What is the tenth root of 144711 to the nearest integer? 3 What is the sixth root of 279781 to
{ "pile_set_name": "DM Mathematics" }
al places? -0.002 Let t = -5.16 + 5.557. What is t rounded to 2 dps? 0.4 Let u(f) = -f**3 - 4*f**2 - 2*f - 2. Let o be u(-3). Let s = o + 8. Suppose -s*c = 2*c + 2750000. What is c rounded to the nearest 100000? -600000 Let u(x) be the second derivative of 2*x**2 - 29/6*x**3 + x + 0. Let o be u(6). Round o to the nearest 100. -200 Suppose 2 = -4*o - t - 10, 4*o = t - 12. Let v be (-13)/(-3) - (-1)/o. Let j be v/14 - (-2127)/(-21). Round j to the nearest ten. -100 Let v = -0.3111 - 1723.6889. Let j = v - -1866.7. Let d = j - 133. Round d to the nearest integer. 10 Let k = 12.9947 - 13. What is k rounded to three decimal places? -0.005 Let g = -77 + 77.0008. What is g rounded to four decimal places? 0.0008 Let w = 1.229 - 0.165. Let n = -1 + w. What is n rounded to two decimal places? 0.06 Suppose 2*p - n = -4*n - 2228, 3352 = -3*p - 2*n. Round p to the nearest 100. -1100 Let m = -0.03156026 - -7997.05456026. Let k = m + -7993. Let x = 4 - k. What is x rounded to 2 decimal places? -0.02 Let c = 51048 + -51048.0200056. Let d = c - -0.02. Round d to six decimal places. -0.000006 Suppose -5*g + 3*l - 1021072 = 0, -g + 3*l = 3*g + 816857. Let f be 2*(-2 + (1 - g)). Suppose f + 631572 = -4*y. What is y rounded to the nearest 100000? -300000 Let o = 5.05 - 0.05. Let s = 1031781739 + -1031781744.00000013. Let c = o + s. What is c rounded to seven decimal places? -0.0000001 Suppose -6 = -c - 286. Round c to the nearest 100. -300 Let v = -3323 - -7283. Suppose -16565 = 3*q + w + 23212, 4*q + 53025 = -5*w. Let r = q + v. What is r rounded to the nearest one thousand? -9000 Let r = -117751 + 117751.00399835. Let i = -0.004 + r. What is i rounded to 7 dps? -0.0000017 Suppose 2*a - r + 2 = -36, -4*a - r = 70. Round a to zero dps. -18 Let v = 18 + -21.5. Let r = -0.5 + v. Let h = -3.99999 - r. What is h rounded to 6 dps? 0.00001 Let s = 6.799902 - 6.8. What is s rounded to 5 dps? -0.0001 Let y = 63.6 + -84. What is y rounded to zero dps? -20 Suppose 2*z + 4*a = -20, 2*z + 0*a = 4*a + 20. Suppose 2*x - 169 - 11 = z. Let q be x/((-1)/(160*5)). What is q rounded to the nearest 10000? -70000 Let l be 4100002 + (2 - -2)/(-2). Round l to the nearest 1000000. 4000000 Let v(k) = -4*k**3 + 10*k**2 + 12*k - 2. Let a be v(9). Round a to the nearest 1000. -2000 Let o be 6699977 - (-3)/1*1. Suppose 3*y - 23563338 + 3463326 = -3*f, -f + o = -5*y. Round f to the nearest one million. 7000000 Let o = 1235837 + -629644. Let x = -606190.00007 + o. Let r = 3 - x. What is r rounded to 4 dps? 0.0001 Let s = -0.55 - -22.55. Let k = -9 + s. Let r = -12.9999935 + k. What is r rounded to six decimal places? 0.000007 Let h = -3 + 6.2. Round h to 0 dps. 3 Let b = 811073 - -362875. Let s = 1932949 - b. Suppose 2*m = -r - 258999 + s, -5*m = 3*r - 1250006. What is m rounded to the nearest 100000? 300000 Let l = -0.22 + 0.68. What is l rounded to one decimal place? 0.5 Let q(i) = -i. Let b be q(0). Suppose v - 821 - 616 = h, b = -5*v + 3*h + 7191. Suppose w = -3*w + v. Round w to the nearest one hundred. 400 Let n be 2/((-2)/(-3)) + -97003. Round n to the nearest 10000. -100000 Let s = -76 - -76.039. Let b = -0.146 + s. Round b to 2 dps. -0.11 Let a = -11.17 + 11. What is a rounded to 1 dp? -0.2 Let c = -0.3 + -0.7. Let a = 0.11 - c. Round a to one dp. 1.1 Let p = 0.22 - 0.02. Let g = 778.89997 - 778.7. Let a = p - g. Round a to five decimal places. 0.00003 Suppose -5*a + 14500015 = q, 2*q + 2*a = 4*a + 28999994. What is q rounded to the nearest 1000000? 15000000 Let u = -227.92 + -3.08. Let x = u - -230.999871. Round x to five decimal places. -0.00013 Let g(v) be the second derivative of 1852*v**5/5 - 5*v**4/12 + 5*v**3/3 - 4*v**2 - 10*v. Let d be g(6). Round d to the nearest one million. 2000000 Let b = -61 - -60.99938. What is b rounded to four dps? -0.0006 Let b = 25.0048 + -25. What is b rounded to three decimal places? 0.005 Let p = 3.94 - 0.14. Let s = -28.8 + p. Let h = -24.999945 - s. Round h to 5 dps. 0.00006 Let c = 298 - 271.3. Let q = -133.7 + c. Let n = -106.9869 - q. What is n rounded to 3 decimal places? 0.013 Let n(q) = -1113*q + 9. Let t(o) = -2*o - 2. Let i be t(-4). Let y be i/21 - (-153)/(-21). Let z be n(y). What is z rounded to the nearest one thousand? 8000 Let x = 643933 - -3583730. Suppose 0 = n - 2172337 - x. What is n rounded to the nearest 1000000? 6000000 Let s be -940008 + -4 + 8 + 4. What is s rounded to the nearest one hundred thousand? -900000 Let o = 77 - 63.2. Let k = o - 11. Let y = 2.79999945 - k. What is y rounded to seven decimal places? -0.0000006 Let u(d) = -3817*d**2 - 8*d - 31. Let y be u(-13). What is y rounded to the nearest one hundred thousand? -600000 Suppose -5*u = 4*u - 88200000. Round u to the nearest 1000000. 10000000 Let p = 34 + 26. Let a = 59.9999918 - p. What is a rounded to six decimal places? -0.000008 Suppose 16 = -3*l + 709. Let q be (-1)/(0 + 3/l). What is q rounded to the nearest ten? -80 Let j = 134.72 - 137. Let q = 1.4 + j. Round q to one dp. -0.9 Suppose -2*f = 3*a - 10056634, -2*f - f = 4*a - 13408846. Let z = 1 + 4. Suppose -z*i - a = -20352210. What is i rounded to the nearest one million? 3000000 Let i(v) = 7*v**2 - 2*v - 3*v**3 + 7 - v**3 - 15 + 2*v**3. Let x be i(8). What is x rounded to the nearest 100? -600 Let c = 74004.1000075 + -74004. Let u = -0.3 - -0.2. Let g = u + c. Round g to six decimal places. 0.000008 Let h = 223.54856 + 0.44144. Let z = -223 + h. What is z rounded to one decimal place? 1 Let m be 10*((-8)/40 + 7/10). Round m to the nearest integer. 5 Suppose -14798634 = g - 42243643. Let r = 13645009 - g. Round r to the nearest 1000000. -14000000 Let t = 62 + -73.8. What is t rounded to zero decimal places? -12 Let f = 1.59 - 1.663. Round f to 2 decimal places. -0.07 Let z = -6.12294871 + 5.985584. Let u = 0.23736474 + z. Let g = u + -0.1. Round g to seven dps. 0 Let z = 5 - 3. Let q = z + -3. Let l = q - -0.9994. Round l to four dps. -0.0006 Suppose -2*y = -11722 + 37722. What is y rounded to the nearest ten thousand? -10000 Let r be (1636 - 1)*(-22)/33. What is r rounded to the nearest 100? -1100 Let s = -20.032 + 0.032. Let a = 20.0000085 + s. Round a to 6 decimal places. 0.000009 Let f = -5476 + 5517.39. Let n = f + -41. Let b = 0.56 - n. What is b rounded to 1 decimal place? 0.2 Suppose 9*p - 4*p = 34449810. Let d = p - 15389962. What is d rounded to the nearest 1000000? -9000000 Let x = -0.103 - -0.052. Let y = -1091 + 1090.9537. Let g = x - y. Round g to three decimal places. -0.005 Let o(g) = 2*g**2 + 4*g. Let r be o(-3). Let l be 60/(r/88*-2). Round l to the nearest 100. -400 Let t = -0.592 + -33.258. Let m = -33 - t. Let y = m - 0.15. Round y to one dp. 0.7 Let m = -0.378 - -0.45. What is m rounded to 2 decimal places? 0.07 Let u = -106 + 106.00102. What is u rounded to four decimal places? 0.001 Let z = 1104 + -1129.66. Let r = -38 + 63. Let b = z + r. Round b to one dp. -0.7 Let h = -128.59 - -13.49. Let j = -82 - h. Let x = 33.100163 - j. What is x rounded to 5 dps? 0.00016 Let p(s) = -540001*s**2 + 1. Let w(t) = -t**2 - 11*t - 9. Let g be w(-10). Let a be p(g). Round a to the nearest one hundred thousand. -500000 Let f = -0.64 - -0.5. Let p = 0.14003 + f. Round p to 4 decimal places. 0 Let f = -4063589.999912 - -4063605. Let x = f - 15. What is x rounded to five dps? 0.00009 Let y = 43 - 50.5. What is y rounded to the nearest integer? -8 Suppose 11460 - 3480 = 6*t. What is t rounded to the nearest 100? 1300 Suppose -7*y = -5*y - 8228. Suppose -y - 30486 = 2*s. Round s to the nearest one thousand. -17000 Let n = -71.086 + 71. Let c = n - -0.796. Round c to 1 dp. 0.7 Let d = 3934054672561.5000012 - 3934052654617. Let r = d - 2017945. Let m = 0.5 + r. Round m to six dps. 0.000001 Let p = 47075.074 + -47012. Let o = -63 + p. What is o rounded to 2 dps? 0.07 Let y be -9 + -1*1/(-1). Let i(s) = 158*s**3 - 3*s**2 - 12*s - 8. Let j be i(y). Round j to the nearest ten thousand. -80000 Let n = 3.65 + -3.1. Round n to 1 decimal place. 0.6 Let b = 2.16 - 110.16. Let g = 107.99999951 + b. Round g to 7 decimal places. -0.0000005 Let z be 3/(((-21)/(-4))/7). Suppose -357667 = -5*x - z*w - 1857667, -2*w + 1500000 = -5*x. What is x rounded to the nearest one hundred thousand? -300000 Let v = -65.1775 +
{ "pile_set_name": "DM Mathematics" }
? 24*f**4 Let n(l) = 14*l**2 - 25*l**2 + 9*l**2. Let s(c) = -5*c - 4. Let h be (1/(-3))/(2/(-6)). Let r(u) = u + 1. Let d(z) = h*s(z) + 4*r(z). Calculate n(d(f)). -2*f**2 Let c(t) be the second derivative of t**4/12 + t**2/2 + 5*t. Let s(l) = -5. Let y(b) = -5*c(b) - s(b). Let j(h) = 2*h**2. What is y(j(w))? -20*w**4 Let z(p) = -7*p + 21*p + 4*p. Let m(r) = -2*r. Calculate z(m(l)). -36*l Let i(b) = -348*b**2. Let k(t) = t. What is i(k(v))? -348*v**2 Let t(x) = 12*x**2. Let p(g) = -402*g**2. Give p(t(d)). -57888*d**4 Let a(q) = q**2. Let t(n) be the third derivative of -n**5/24 + 5*n**3/6 - 2*n**2. Let p(g) be the first derivative of t(g). Calculate a(p(z)). 25*z**2 Let v(x) = x**2. Let a(t) be the first derivative of t**3/3 - 3. What is v(a(o))? o**4 Let o(z) = -z. Suppose 5*k = 14 + 1. Suppose 2*p - 3*h - 4 = -1, k = 3*h. Let v(f) = 3*f - p*f + 4*f. Calculate v(o(c)). -4*c Let h(o) = 4*o - 5*o + o + 2*o. Let s(c) = -2*c + 6*c**2 + 2*c. Calculate h(s(y)). 12*y**2 Let o(p) = -2*p**2. Let c(b) = 5*b + 39. Give c(o(z)). -10*z**2 + 39 Let i(x) = -4*x - x + 4*x. Let b(a) = 9*a. Let s(p) = -5*p. Let c(r) = 3*b(r) + 5*s(r). Calculate c(i(f)). -2*f Let y(n) be the third derivative of -n**5/120 + n**3/6 + 3*n**2. Let i(j) be the first derivative of y(j). Let g(t) = t**2. Calculate i(g(l)). -l**2 Let f(p) = p**2. Let m(d) = -8*d - 4. Let y(q) = q + 1. Let v(j) = -m(j) - 4*y(j). What is v(f(c))? 4*c**2 Let k be (-8)/12 + (-8)/(-12). Let l(g) be the first derivative of k*g + 2/3*g**3 + 1 + 0*g**2. Let h(z) = 5*z. Determine h(l(d)). 10*d**2 Let k(b) = -2*b. Let g(t) = -6*t**2 - 2*t - 3*t**2 + 2*t. Give g(k(f)). -36*f**2 Let r(b) = 2*b**2. Let o(t) be the first derivative of t**4/12 + 3*t - 1. Let y(h) be the first derivative of o(h). Give r(y(q)). 2*q**4 Let c(a) = 2*a. Let h(b) = -144*b**2. Let y(r) = 13*r**2. Let n(g) = 3*h(g) + 32*y(g). Determine n(c(x)). -64*x**2 Let o(n) = -2*n. Let q(r) = 546*r. Calculate q(o(l)). -1092*l Let t(l) be the third derivative of -l**4/12 + 17*l**2. Let w(z) = -24*z**2. Determine t(w(s)). 48*s**2 Let t(j) = -j**2 + 56*j. Let p(o) = o + 14. What is t(p(l))? -l**2 + 28*l + 588 Let g(o) = 2*o - 2. Let l be g(2). Let r(y) = 0*y**l + y**2 + y**2. Let a(w) = -2*w. Determine r(a(c)). 8*c**2 Let q(o) = o**2 - 66. Let v(h) = -24*h. What is v(q(g))? -24*g**2 + 1584 Let u(z) = -8*z. Let q(n) = 8*n. Let g(i) = -5*q(i) - 6*u(i). Let w(t) = -2*t**2. Determine g(w(y)). -16*y**2 Let d(l) be the first derivative of 0*l**2 + 1/3*l**3 + 0*l + 1. Let i(w) = 2*w**2. Determine d(i(r)). 4*r**4 Let k(u) = -2*u**2. Let h(t) = 514*t - 2. What is k(h(f))? -528392*f**2 + 4112*f - 8 Let p(y) = y**2. Let g(s) = -3*s**2 + 10*s**2 - 800 + 800. Give p(g(d)). 49*d**4 Let i(a) = 530*a. Let j(s) = 31*s. Determine j(i(f)). 16430*f Let u(r) = -3*r - 4*r - 3*r - 10 - 4*r. Let o(j) = -j - 1. Let g(v) = 10*o(v) - u(v). Let z(k) = 2*k**2. Determine z(g(w)). 32*w**2 Let h(i) = 194*i**2. Let r(d) = -2*d**2. Determine h(r(u)). 776*u**4 Let o(d) = -10*d - 11. Let l(x) = -5*x - 6. Let c(h) = 11*l(h) - 6*o(h). Let k(t) be the third derivative of -t**4/12 - 3*t**2. Calculate k(c(m)). -10*m Let s(y) be the third derivative of 0 - 3*y**2 + 0*y + 0*y**3 - 1/24*y**4. Let j(n) = -n. What is j(s(p))? p Let w(v) = 2*v. Let l(p) = -1. Let b(f) = 8*f**2 + 20. Let z(r) = -4*b(r) - 80*l(r). Calculate z(w(m)). -128*m**2 Let p(t) = -t. Suppose 3*b + 2*o = -5 + 6, -4*b + 3*o + 24 = 0. Let x(c) be the second derivative of 0 + 0*c**b + 1/6*c**4 + 2*c + 0*c**2. Determine p(x(d)). -2*d**2 Let a(k) = 2*k. Let t(p) = p**3 + 4*p**2 - 8*p - 5. Let o be t(-5). Let s be (-24)/(-10) + (-4)/o. Let i(v) = s*v + 2*v - 2*v. Determine i(a(j)). 4*j Let b(u) = u**2 - u. Let y(s) = -4*s**2 + 6*s. Let d(x) = -6*b(x) - y(x). Let k(p) be the first derivative of p**2/2 - 9. What is d(k(j))? -2*j**2 Let n(b) be the second derivative of -4*b**4/3 - 7*b. Let k(m) = m**2. Determine k(n(c)). 256*c**4 Let z(p) = -210*p. Let y(t) = 4*t. Calculate z(y(n)). -840*n Let g(v) = v. Suppose 6 = -2*q - z, -5*q = 3*z - 6*z + 15. Let m(r) = -r. Let d(w) = q*g(w) - m(w). Let y(l) = -l**2. Calculate d(y(n)). 2*n**2 Let t be -5*(0 + 4/(-10)). Let c = 2 - 0. Let g(y) = -3*y**2 + 0*y**c + 5*y**t. Let s(n) = 2*n. What is g(s(m))? 8*m**2 Suppose -6*z + 2*z = -16. Let h(s) = 5*s - z*s + 0*s. Let t(b) = -5*b**2 + 6*b**2 + 2*b**2. Calculate t(h(o)). 3*o**2 Let y(n) = 3*n**2. Let o = 16 - 8. Suppose 0 = 3*c + c - o. Let a(t) = -4 + c*t + 4 + 0. What is a(y(b))? 6*b**2 Let x(w) = -6*w**2. Let i(t) = -131*t**2. Give i(x(m)). -4716*m**4 Let p(m) = -30*m. Let s(i) be the second derivative of i**3/3 - 26*i. Determine s(p(h)). -60*h Suppose q = -3*q. Let b(p) be the third derivative of 0*p**4 + q*p**3 + 1/20*p**5 + 0*p + 2*p**2 + 0. Let d(u) = -2*u. Determine b(d(j)). 12*j**2 Let o(y) = y**2 - 17. Let g(x) = -18*x. Determine o(g(u)). 324*u**2 - 17 Let z(l) = -l. Let y(b) = 15*b. Let u(g) = -4*y(g) - 84*z(g). Let q(m) = m**2. Give u(q(p)). 24*p**2 Let d(c) = -782*c**2. Let z(s) = -s. What is z(d(k))? 782*k**2 Suppose 3*w = 6 - 0. Let b(o) = -w + 2 + 6*o - 4*o. Let q(j) = -10*j. Give q(b(n)). -20*n Let z(k) = -3*k**2. Let o(b) = 16*b**2. Let u(i) = 4*o(i) + 22*z(i). Let l(g) = 7*g**2. Calculate l(u(d)). 28*d**4 Let b(f) = 2*f**2. Let c(o) = -9189*o**2. What is b(c(v))? 168875442*v**4 Let j(l) = 1. Let h = 3 - 2. Let t(r) = 2*r + 1. Let x(b) = h*t(b) - j(b). Let q(z) be the second derivative of -z**4/12 + 11*z. Calculate q(x(w)). -4*w**2 Let r(g) = g. Let q(s) = 2*s - 43. What is r(q(y))? 2*y - 43 Let a(y) be the second derivative of -1/3*y**3 + 0 - 3*y + 0*y**2. Let o(m) = m**2. Give o(a(l)). 4*l**2 Let c(d) = d + 6. Let a(f) = -2*f. Calculate a(c(k)). -2*k - 12 Let v(p) = p**3 - 3*p**2 + 2*p + 2. Let y be v(3). Suppose -2*l - 2 = -y. Let o(i) = l*i - 2*i + i. Let q(t) = -3*t**2. Determine q(o(j)). -12*j**2 Let m(y) = 5*y. Let t(u) be the first derivative of u**5/120 + 2*u**3/3 - 3. Let z(g) be the third derivative of t(g). What is z(m(v))? 5*v Let d(y) = 2*y + 83 - 83. Let n(i) = 1 - 1 - i**2. Determine n(d(t)). -4*t**2 Let t(v) be the second derivative of -v**4/12 - 3*v. Let j(p) = -p**2. Give j(t(d)). -d**4 Let x(s) be the first derivative of s**3 + 2. Let r(m) = m - 9 - 4*m + 9. Determine x(r(y)). 27*y**2 Let s(t) = -8*t**2 - 5*t - 5. Let z(a) = -20*a**2 - 12*a - 12. Let x(u) = 12*s(u) - 5*z(u). Let w(j) be the second derivative of -j**4/6 - j. What is w(x(c))? -32*c**4 Let f(o) = -4*o. Let z(t) = t**2 + 35*t. Determine z(f(c)). 16*c**2 - 140*c Let n(r) be the first derivative of r**2 + 40. Let h(g) be the first derivative of 2 + 0*g - 2/3*g**3 + 0*g**2. What is h(n(a))? -8*a**2 Let c(n) = -5*n**2. Let q(k) = -1325*k. Determine c(q(d)). -8778125*d**2 Let t(v) = 9*v**2 - 3*v. Let w(d) be the first derivative of d**2/2 - 49. What is w(t(m))? 9*m**2 - 3*m Let k(v) = -2*v. Let q(s) = -s**3 - 7*s**2 - 8*s - 9. Let n be q(-6). Let p(u) = n*u**2 - 4*u**2 + 8*u**2. Determine p(k(r)). 28*r**2 Let u be (-10)/25 + (-2)/(-5). Let n(v) = u*v + 2*v + 0*v + 0*v. Let a(l) = -2*l**2. Calculate n(a(h)). -4*h**2 Let u(h) = 38*h**2 - 9. Let a(p) = -2*p. Give u(a(v)). 152*v**2 - 9 Let j(k) = 23*k. Let c(v) = 11*v**2 + 7*v + 7. Let b(y) = 6*y**2 + 4*y + 4. Let o(g) = -7*b(g) + 4*c(g). Determine o(j(r)). 1058*r**2 Let x(j) = 0*j + 7 - 7 + 4*j. Let h(i) = 4*i. Calculate h(x(z)). 16*z Let b(l) = -2130*l**2. Let p(a) = 2*a. What is p(b(t))? -4260*t**2 Let h be (-21)/(-70)*(-10)/(-24). Let u(m) be the third derivative of 0*m**3 + 2*m**2 + 0 + 0*m + h*m**4. Let r(i) = -2*i. Calculate r(u(z)). -6*z Let c(t) = 46*t**2 - 7. Let h(y) = -3*y. Calculate h(c(f)). -138*f**2 + 21 Let c(q) = -q. Let g(k) = k. Let j(t) = -4*c(t) - 5*g(t). Let f(i) = 14*i**2. Calculate f(j(l)). 14*l**2 Let r(c) = 10*c**2. Let n(g) = -4*g. Let q(l) = -l. Let w(b) = n(b) - 2*q(b). Give w(r(y)). -20*y**2 Let f(b) = -b**2. Let o(k) = k**2 - 24*k. What is o(f(p))? p**4 + 24*p**2 Let r(z) = -z. Let p(d) = 119*d**2 + 2*d + 9. Determine p(r(w)). 119*w**2 - 2*w + 9 Let s(q) = 7*q - 5. Let k(a) = -8*a + 6. Let n(x) = 5*k(x) + 6*s(x). Let f(y) = 8*y. Let m(w) = w. Let c(r) = -3*f(r) + 28*m(r). What is c(n(t))? 8*t Let u(c) = 11*c**2 + 2*c - 2. Let o(y) = -56*y**2 - 11*y + 11. Let a(r) = 2*o(r) + 11*u
{ "pile_set_name": "DM Mathematics" }
x = 5 - 3. Suppose 3*i = 3*c - 24, 4*c + x*i = 22 + 4. Solve -5*g - 3*d + 13 = 0, g - 2*d = -c*d + 7 for g. 2 Suppose -h + 11 = 4*s, -2*h + 5*s - 3*s = 8. Let r = 5 + h. Suppose 4*x = 6*x - 8. Solve 0 = -t + z + x, 2*t + z = -z + r for t. 3 Let g = 683 + -678. Solve -g*u + 3*r - 11 = -1, 4*r = 20 for u. 1 Suppose 12*f = 7*f - 45. Let p(x) = -x**3 - 9*x**2 - 3*x + 8. Let w be p(f). Solve 2*c + c + w = -5*t, -2*c = 2*t + 18 for t. -4 Suppose 0 = -3*r - 4*o + 24, -r = -6*r + 2*o + 14. Solve 3*d = g - r*g + 18, 0 = 4*d - 3*g - 3 for d. 3 Suppose -3*m - 5*f = -1, 4*m + 4*f = m + 2. Let s(q) = -6*q - 1. Let x be s(8). Let v = 49 + x. Solve -4*j + 2*h - 4 = h, v = -2*j + 3*h - m for j. -1 Let i(j) = j**2 + 3*j - 8. Let g be i(5). Suppose 0 = 3*d - 3*n - 24, -4*d + g = 4*n + n. Solve 0 = -5*s - 5*t - 20, -d = 3*s + 5*t + 14 for s. 1 Let j(r) be the first derivative of -r**2 - 20*r - 3. Let c be j(-11). Solve 0 = 2*u + 10, c*y - 13 = 5*u + 14 for y. 1 Suppose -45*x + 70 + 155 = 0. Solve -5 = x*l - y - 0, y - 5 = -2*l for l. 0 Let l = -1778 + 1785. Suppose -9 = -5*j + f, j - 1 = -f + 2*f. Solve -3*u - k + j*k - 5 = 0, 5*u + l = 2*k for u. -3 Suppose 2*h - 8 = 4*p, -5*h + p + 2 = -0*h. Suppose -6*z + h*z = 0. Let f(g) = -g + 9. Let s be f(7). Solve n - 2*o = 0, -s*n + 3*o = -z*o - 1 for n. 2 Let v = 104 + -98. Suppose -56 = -v*r - 8*r. Solve 40 = 5*q + r*u, u + 1 - 2 = q for q. 4 Let n(y) = -y - 2. Let p be n(-16). Suppose -21 = -p*a + 49. Solve -5*f - j = -0*f - 14, 0 = a*f - 2*j - 17 for f. 3 Let t(g) = -17 - 8 + 45 + 8*g. Let l be t(-2). Solve -6*y - 16 = -l*n - 3*y, 4*y + 15 = -n for n. 1 Let w(f) = -4*f. Let u be (-2)/3*(-3)/(-2). Let b be w(u). Suppose 0 = -p - 0 + 3. Solve -5*k = b*z + 2, -p*k + 0*k = 2*z + 2 for k. -2 Let r = -48 + 45. Let l be 11 + -8 - (r + (0 - -1)). Solve -2*i = -l*j - 7*i - 40, 0 = -3*j + 3*i for j. -4 Let f = 141 + -138. Solve -2*d - 19 = f*a, 3*a = -0*a + d - 13 for a. -5 Let i(w) = 3*w - 39. Let c be 2 + ((-318)/(-30) - 2/(-5)). Let t be i(c). Solve -4*p = 2*q - 5 + 23, t = -3*p - 15 for q. 1 Let s = -270 + 277. Solve -4*l + s = 3*g, 3*g - 6*l = -3*l + 21 for g. 5 Suppose 27*f - 58 = -4. Let j(c) = c**2 - 5*c + 2. Let d be j(5). Suppose -6 = -d*k - k. Solve k*y - 3*g = g - 22, 2 = f*y + 2*g for y. -3 Let i(d) = 2*d - 4. Let x be i(-4). Suppose 4*s - 10*s = 216. Let m be (1/1)/(x/s). Solve j + 9 = y + m, 3*y - 12 = 0 for j. -2 Let t be (11 - (-4)/(-1)) + (-56)/8. Solve t*q = -3*j - 3*q - 6, -2*j + 3*q = -11 for j. 1 Let b = -25 - -57. Suppose 8*j - 24*j + b = 0. Solve m + 3 - j = w, 0 = -m + 3 for w. 4 Let a be 10/(-20) - (-10)/4. Let s(l) be the first derivative of -l**4/4 + l**3 - 2*l + 17. Let j be s(a). Solve -4 + 1 = y - j*k, y = -2*k - 7 for y. -5 Suppose 0 = 5*q + 49 - 64. Solve a - 8 = -5*s, -s = -4*s - q*a for s. 2 Let v = -29 - -20. Let l be ((-3)/v - 1)*-30. Let k be (12/(-8))/((-3)/4). Solve -k*x - 5*j = -l, -8 = -7*j + 3*j for x. 5 Suppose 13 = -13*d + 143. Solve d = -2*r + 5*f, -3*f + 8 = -r + f for r. 0 Suppose 5*b = 20*g - 18*g - 15, -24 = -5*g - b. Solve -4 = c - 2, g*c = -3*o - 16 for o. -2 Let m(f) be the third derivative of -f**6/60 - f**4/12 - f**3/6 + 3*f**2. Let u be m(-1). Let h = -12 - -18. Solve 5*y = -u*l + h, 2*y = 3*l + 3*y - 6 for l. 2 Let n(v) = -36*v - 68. Let c be n(-2). Solve -1 = -j - c*g, j = -2*g - 0*g - 1 for j. -3 Let x(f) = f**3 - 3*f**2 + 9*f. Let d = 68 - 65. Let c be x(d). Solve -b + c = -5*z, 31 = -5*z - 0*z + 3*b for z. -5 Let z be -6 + 0 - ((-15)/3 - 4). Let a be -1 + 1 + 2*1. Solve 2*u = 3*l - 19, a*u + 2*l - 11 = z*u for u. -5 Let z(s) = s**2 - 2*s - 2. Let p be z(7). Suppose p + 35 = 4*i. Suppose 3*f = i + 13. Solve -5*d - 27 = -2*y + 4*y, 5*y + d + f = 0 for y. -1 Suppose 2*c - 2*v + 34 = 0, 2*c - 49 = 5*c - v. Let q be (-36)/c + (-30)/(-8) + -3. Solve 0 = -q*k + h + 13, 0 = -k - 0*k + h + 5 for k. 4 Let a(t) = -t**3 + t**2 + 4*t - 1. Let g be a(-3). Suppose 0 = 10*f - g*f + 65. Solve r + f*x + 17 = 0, r + 5*x = -r - 14 for r. 3 Let w = -12 - -21. Solve 0 = -5*v - r - w, 4*r = -v - 19 + 2 for v. -1 Let x = -2702 + 2706. Solve -2*n + x = 0, -3 = 5*h + n + 10 for h. -3 Suppose 0*o + 5*o - 5*x = 5, 0 = -4*o + 5*x + 1. Solve 0 = o*y - 2*u - 16, -3*y + 4*u + 10 = -7 for y. 3 Suppose 11*r + 6 = 5*r. Let w be 33/5 - (r + (-56)/(-35)). Solve u = 2*z + 4*u - w, 2*u = 2*z + 4 for z. 0 Let b = -38 - -41. Suppose b*m + 4*m = 0. Solve -4*n - 4 = -c - 0, -c + 5*n + 4 = m for c. 4 Let g be (-2)/5 + (-216)/(-40). Suppose -g*b - 7 = -o, 2*o + 2*b = -2 - 8. Let x(m) = -m + 6. Let k be x(o). Solve 3*a - v = v + 10, k = a + 5*v for a. 4 Let a(k) = -17*k - 136. Let x be a(-8). Solve 5*p + 3*o + 4 = x, -2*o = -p + 3*p for p. -2 Suppose 6*m - 14*m = -48. Suppose -7*z + 2 = -m*z. Solve -2*h - 2 = 0, y + 4 = z*y - 2*h for y. 2 Let x = -100 + 145. Let k = -40 + x. Solve 0*v + v = h + 5, 0 = -h + 2*v - k for h. -5 Let j be (-35)/(-10)*20/7. Let g = j - 11. Let a be (-360)/(-6)*g/(-3). Solve 4*u + a = 0, -4*u = -5*v - u - 10 for v. -5 Let j = 6 - 3. Let l be 0 + -43 + (-1)/1. Let y = l + 46. Solve 0*r = j*i - y*r - 17, -4*i - 3*r + 17 = 0 for i. 5 Suppose 0 = 13*j - 28*j. Solve 4*f - 16 = j, -2*f + 17 = 3*k + 3*f for k. -1 Suppose -6*v = 6*v - 96. Let k be (-112)/(-36) - 2/18. Solve 5*x + p = -18 - v, -4*p = -k*x - 11 for x. -5 Suppose -5*v + 16 = -3*c - 0*v, -3*c = 3*v. Let b be c - (1/3)/((-7)/84). Solve 5 + 7 = b*i + 4*w, -5*i = 5*w - 20 for i. 2 Let p = -2 - -4. Let u(z) be the first derivative of -z**4/4 + 4*z**3/3 + 9*z - 23. Let v be u(4). Solve -p*a = l - 2 - v, 3*l - a = 5 for l. 3 Let h = 15 + -12. Suppose -3*x = -h*d - 7*x, -3 = x. Solve 2*j + 4*b + 0 = 2, -5 = -3*j - d*b for j. 3 Let x(u) = 4*u + 36. Let q be x(-9). Suppose 27*d - 30*d + 12 = q. Solve 0*b - 5*b - 3*j = 22, -d*j = 16 for b. -2 Suppose 0 = -4*v - 140 + 160. Solve 5*z - 27 = -2*q, 2*z + z - 10 = v*q for z. 5 Let s = 622 + -620. Solve s*x - 21 + 5 = -3*n, 0 = -x + 5*n - 5 for x. 5 Suppose 3*b = 4*v + b + 18, -v = 2*b + 17. Let q(n) = 3*n + 26. Let p be q(v). Solve 4 = k, -6*o + 3*o + 23 = p*k for o. 1 Suppose -5*v - 4*u - 10 = -0*v, -3*v - 3*u - 6 = 0. Let o(y) = -5*y - 5. Let a be o(v). Solve -4*q + 5*p = -18 - 7, 0 = a*p + 25 for q. 0 Let w be (-4)/10 + 180/75. Solve 4*z = 2*z + 3*u - 5, 0 = 2*u + w for z. -4 Let m = -721 - -723. Solve 0 = -2*n + 2, 3*u = -m*n - 2*n + 16 for u. 4 Let t be 5/3 + 10/(-6). Suppose t = -15*v + 223 + 212. Solve -n = f - 1, 2*f + 3 - v = 4*n for f. 5 Let h(k) be the second derivative of k**4/6 + 4*k**3 + 2*k**2 - k. Let l be h(-12). Suppose 2*t - 4 = -0. Solve -l*j - t*y + 32 = 6, 4*j + 5*y = 35 for j. 5 Let s be 0/(-1) + 1 + 0. Let r(l) = -l**2 + 101*l - 567. Let w be r(95). Solve w*a - 4*v = 16, 2*a - s = -v - 5 for a. 0 Let t = 39 - 37. Suppose 2*w - 6 = -t. Let y(s) = -5*s - 5. Let h be y(-4). Solve -5*z - 8*d = -3*d + h, -w*z + 5*d + 15 = 0 for z. 0 Let t = 73 + -32. Let q = t + -27. Suppose -5 = -2*h - 3, 5*i + 4*h = q. Solve d - 2*g = -3*d - 10, -3*d - i*g = 4 for d. -2 Let l(c) = c**3 - 3*c**2 - 2*c - 2. Let u be l(5). Suppose 26*i = 24*i + u. Solve -2*y - 2*s + 18 = -6*y, -5*y = s + i for y. -4 Suppose 0 = 5*k - 2 - 18. Let x(f) = 4 + f**2 + 3*f - k*f - 1. Let l be x(0). Solve q + l*a = -9, 0 = 2*q - 2*a + 4*a + 10 for q. -3 Suppose 37*d = 35*d + 46. Solve -d + 4 = -r - 4*h, 0 = 3*h - 15 for r. -1 Suppose -24*r + 188 = 44. Solve 10*t - r*t = 4*u - 20, 25 = -t + 5*u for t. 0 Let w = -295 - -298. Solve -w*a - 5*r = 20 - 0, 5*r = -5*a - 20 for a. 0 Suppose 10 = -2*f - 5*j + 39, 65 = 5*f + 5*j. Solve f = -5*d - 4*l + l, -2*l = 8 for d. 0 Suppose 53 = -27*s + 107. Solve -3*z + 3*m = s*m - 9, -5*z = -m - 15 for z. 3 Suppose -3*j - w = -169, -2*j = -0*j - 5*w - 90. Let y = j - 50. Let d = -2 + 6. Solve y*f = 2*n - 3*n - 18, d*n + 21 = -3*f for n. -3 Let u = 563 + -560. Suppose 2*c = -2 + 10. Solve i - 3 = c*t, t + t + u*i = 9 for t. 0 Let h(d) = 6*d - 2. Let o be h(1). Suppose 1 + 8 = t + q, o*t - q = 16. Solve 2*y + 10 = 4*c, -y + t*c - 6 = -5*y for y. -1 Suppose 4*w + 2*p = 138, 5*w - 171 = -4*p + 2*p. Suppose w = -2*t + 7*t + 2*d, 4*d = -4*t + 36. Solve 4*j + 5*b - 14 = 7, -t*b + 25 = 0 for j. -1 Suppose 4*u + 12 = 3*s, -2*u + 5 - 11 = 4*s. Solve 3*n - 12 = -3*o, 0*o - o + 3*n = s for o.
{ "pile_set_name": "DM Mathematics" }
4*u + k = -9*u - 30, -u - 6 = -4*k. Let j(p) = -3*p + 9. What is the units digit of j(u)? 7 Let h = 219 - 154. What is the units digit of h? 5 Suppose -18 + 113 = k + y, -86 = -k + 2*y. What is the tens digit of k? 9 Let j = -33 - -97. What is the units digit of j? 4 What is the tens digit of ((-74)/(-5))/(6/30)? 7 Let g(d) = -93*d - 13. What is the tens digit of g(-5)? 5 Suppose t + 2*t - 18 = 0. Let c be 3/t*-2*1. What is the units digit of (3 + c - 2) + 2? 2 Let k(o) = -o**3 - 8*o**2 - 8*o - 7. Let s be k(-7). Suppose s = w - 2*w + 7. What is the units digit of w? 7 Let s(c) = c - 3. Let j be s(5). Suppose j*h + 78 = 4*o, -3*h - 5 = -o + 2. Suppose k + k = -3*i + o, 0 = 5*i + 5*k - 40. What is the units digit of i? 6 Suppose 17 - 2 = 5*s. Let q be ((-3)/6)/(1/(-4)). Suppose -4*o = -2*p + 30, -q*p - 2*o + 27 = s*p. What is the units digit of p? 7 Suppose -t + 12 = 2*t. Suppose t*d + 4 = 0, -4*n - n + d = -11. What is the units digit of (-5 - -4) + 20/n? 9 Suppose 3*z - 120 = -4*b, 2*b = 2*z - 2*b - 80. What is the units digit of z + 2 + (-6)/2? 9 Let g be (-6)/(-14) + 54/21. Let f = g - -27. What is the tens digit of f? 3 Let g = 428 + -271. What is the units digit of g? 7 Let l(t) = t + 3. Let n be l(-3). Suppose n = q + s + 1, 0 = q - s - 3 - 2. What is the units digit of q? 2 Let w be (2 - 0)*(-10)/(-4). Let g = 32 - w. What is the units digit of g? 7 Let v = 8 + -7. Let q(l) be the third derivative of l**4/12 + l**3/6 - l**2. What is the units digit of q(v)? 3 Let o(g) = g**3 - 6*g**2 + 4*g + 5. Let i be o(5). Let f be (-2)/1 + i + 6. Suppose -f*b + 62 = b - j, -4*b = -3*j - 43. What is the units digit of b? 3 Suppose 2*g = o + 1, g - 3*g = -3*o - 11. What is the units digit of ((-7)/g)/((-1)/(-2))? 7 Let u = -9 - -1. Let t(i) = i**2 + 8*i + 2. Let l be t(u). Let s(x) = x**3 - x**2 + x + 1. What is the units digit of s(l)? 7 Let r(y) = -y**3 - 22*y**2 - 24*y - 12. What is the tens digit of r(-21)? 5 Let f = 47 + -4. What is the units digit of f? 3 Let w(o) = o**2 - 9*o + 9. What is the units digit of w(8)? 1 Let l(u) = -u**3 + 5*u**2 + 3*u - 2. Let s be l(5). Suppose 2 - s = -i. What is the tens digit of i? 1 What is the units digit of 2*1/2*38? 8 What is the hundreds digit of (16 + -172)*((-1 - 0) + 0)? 1 Let l(y) = 27*y + 1. What is the units digit of l(1)? 8 What is the tens digit of (160/25 + -4)*465/6? 8 Let s be 8/(-20) + 36/15. Suppose -5 = v, s*q - 4*q - 5*v + 65 = 0. What is the units digit of q? 5 What is the units digit of 224/21 + (-2)/3? 0 Let t be 7/(2 + 1 + -2). Let r(j) = j. Let c(y) = -2*y. Let h(z) = t*r(z) + 4*c(z). What is the units digit of h(-8)? 8 Let q = -9 + 12. Suppose q*d + u = 82, -5*u + 12 - 50 = -d. Suppose -d = -y + 5*b, 5*y - 3*b = 2*b + 80. What is the units digit of y? 3 Let d(x) = 3*x + 79. What is the hundreds digit of d(28)? 1 Let u(r) = -2*r - 1. Suppose 5*d + 20 = -5*w, -17 = 2*w + 6*d - d. What is the units digit of u(w)? 1 Let w = -137 - -320. What is the tens digit of w? 8 Let q(m) = m**3 + 13*m**2 + 13*m - 20. What is the hundreds digit of q(-10)? 1 Let h = -59 + 233. What is the hundreds digit of h? 1 Let o be 0/1 - (1 - 4). Suppose -4*g = 3*a - 26, 0 = -5*a + o*a + 5*g - 21. What is the units digit of a? 2 Let y be (-4)/6*(0 - 6). Suppose -3*j = -5*v + 12, -4*v = -3*v - 3*j - 12. Suppose s + y*s - 50 = v. What is the units digit of s? 0 Suppose -2*r - j = -60, 4 = -0*j + 2*j. What is the units digit of r? 9 Let m be 0 + (16 - (0 - -2)). Let v be (-30)/7 - (-4)/m. Let d = v - -6. What is the units digit of d? 2 Let t(z) = z**3 - 3*z**2 + 3*z - 2. Let n be ((-6)/(-5))/(4/10). What is the units digit of t(n)? 7 Let z = 10 - -181. What is the units digit of z? 1 What is the tens digit of -340*(4 - 9/2)? 7 Suppose -60 = 6*h - 9*h. Suppose -3*s + 7*s - h = 0. What is the units digit of s? 5 Let w(s) be the third derivative of s**5/60 - s**4/4 - s**3 - 2*s**2. What is the units digit of w(8)? 0 Let s(m) = 10*m. Let k be s(1). Let h(n) be the third derivative of -n**4/24 + 7*n**3/2 + 5*n**2. What is the units digit of h(k)? 1 Suppose -11 - 3 = -2*w. Let r(u) = u - 6. Let c be r(w). What is the units digit of 3 + (-1 - 1)*c? 1 Let r(x) = 3*x + 4. Let g(t) = 1. Let j(i) = 6*g(i) - r(i). What is the tens digit of j(-3)? 1 Let r(z) = 40*z - 9. Let d be r(7). Let p = d + -162. Suppose 0 = -2*h + 1 - 5, -p = -5*f + 2*h. What is the units digit of f? 1 Let i(j) = -j**2 - 3*j - 4. Let h be i(-3). Let m = -3 - -2. Let s = m - h. What is the units digit of s? 3 Let b be (-8)/(-20) - 3/(-5). Let d be (-1 - -4) + (b - 12). Let t = d + 9. What is the units digit of t? 1 Suppose -4*u + 4*w - 2*w = -78, 4*w = 4. Suppose b + 3 = u. What is the tens digit of b? 1 Suppose -3*g = -4*g. Let c(q) = -4*q - 9. Let b be c(-3). Suppose -b*u + 14 + 1 = g. What is the units digit of u? 5 Suppose -4*w - 17 = 79. Let z = w + 45. What is the tens digit of z? 2 Suppose 2*d - 5*d + 15 = 0. Suppose 4 = -d*h + 24. What is the units digit of (-6)/h*(-1 + -1)? 3 Suppose -62 = 4*y - 150. What is the units digit of y? 2 Let w = 69 - 47. Suppose 2*a = 34 + w. What is the units digit of a? 8 Let f(o) = o**3 - 9*o**2 + 8*o + 6. Let u be f(8). Let t be (-3)/9 + 32/u. Let m = t + -3. What is the units digit of m? 2 Let r = 8 + -3. Suppose 5*z + 0*z = -r*t + 125, -2*t - 55 = -3*z. What is the tens digit of z? 2 Let a be ((1 - 4) + -3)/(-2). Suppose -12 = a*s - 4*s. What is the units digit of s? 2 Suppose 2*a - 10 = 2*q - 4*q, 4*q + 4 = 0. Suppose -5*k + 3*y = 0, -4*y + a = -k - 11. What is the units digit of k? 3 Suppose -2*n + 17 - 5 = 0. What is the tens digit of 2/n - (-376)/24? 1 Let x be 3/(-2) + (-91)/(-2). What is the units digit of 4/(-10)*(-11 - x)? 2 Suppose -5*u = -3*x - 0*u + 272, 0 = -5*x + u + 424. What is the tens digit of x? 8 Suppose 4*b - 21 = -4*s + 35, 0 = 3*b - 15. What is the units digit of s? 9 Let r(j) = -j - 3. Let x = -5 - -15. Let i be 6/x - 165/25. What is the units digit of r(i)? 3 Let f be 0/((-3)/(-3 + 0)). Suppose 3*x = -d + 16, x + 4*d + 2 = -f. What is the units digit of x? 6 Let q be (-5)/((15/(-9))/5). Let b be 575/q + (-1)/3. Let p = b + -25. What is the units digit of p? 3 Let n = 63 - 16. What is the units digit of n? 7 Suppose -32 = 3*r - 2. Let a(w) = w**3 + 10*w**2 - w + 10. What is the units digit of a(r)? 0 Let i = 33 + -28. What is the units digit of i? 5 Let f(t) = -56*t + 12. What is the units digit of f(-3)? 0 Let i be (1/(-2))/((-4)/(-80)). Let s(m) = 7*m + 15. Let d(c) = -8*c - 16. Let z(n) = -6*d(n) - 7*s(n). What is the units digit of z(i)? 1 Let h(p) = -p**2 + 7*p - 2. Let t be h(6). Suppose -5*n + t = -61. What is the units digit of n? 3 Let m(p) = -p**3 - 2*p**2 + p - 6. What is the hundreds digit of m(-6)? 1 Let y be 2/(((-36)/(-105))/6). Let q = -8 + y. What is the units digit of q? 7 Let r = 346 + -201. What is the units digit of r? 5 Let v be 2/5 - (-56)/35. Suppose -n = -v*n + 3*g + 18, 3*g - 30 = -3*n. What is the tens digit of n? 1 Let o(t) = 6*t**3 - t**2 + t - 1. Let u = -5 - -3. Let w(i) = i**2 + 2*i + 1. Let d be w(u). What is the units digit of o(d)? 5 Let c = -67 + 94. What is the units digit of c? 7 Let a(f) = -f**3 - f**2 + 8*f + 6. What is the units digit of a(-4)? 2 Suppose 0 = 5*v + 5*w - 2*w - 9, 17 = 3*v - 4*w. Suppose 2*t = 3*t - 5*c - 13, -3*t - v*c = -21. Suppose 2*i - 16 - t = 0. What is the units digit of i? 2 Suppose 0 = -3*x + 5*x - 14. What is the units digit of (0 - -1 - 0) + x? 8 What is the tens digit of (-2)/5 + 152/5? 3 Let w be ((-8)/3 + -1)*-3. Let a(s) = s**3 - 11*s**2 + s - 2. What is the units digit of a(w)? 9 Let r = -21 - -17. Let v(t) = -t + 5. What is the units digit of v(r)? 9 Let k be (-3 - (2 + -8)) + 34. Suppose 0 = -5*z + 43 + k. What is the tens digit of z? 1 Let g(v) = 4*v. Let q(o) = o - 5. Let h(l) = l**3 - l**2 + 2. Let a be h(2). Let j be q(a). What is the units digit of g(j)? 4 Suppose -3*u + 29 = 4*i, 4*u - 21 = -9. Suppose -5*v - i*k + k = -105, 100 = 5*v + 3*k. What is the tens digit of v? 1 Let p be -1*(-2)/((-2)/(-19)). Suppose d + 5*z = -p, -2*d + 26 = -d - 4*z. What is the units digit of d? 6 Let t = -16 + 70. Suppose -5*o = 3*i - t, -3*i + 29 = -2*i - 2*o. Suppose 0 = -3*h - 4*b + 17, -i = -5*h + 3*b - 7*b. What is the units
{ "pile_set_name": "DM Mathematics" }
e 0*k + c = -2*k for k. -1 Suppose 5*j + 4 = 19. Suppose -5*a + 86 = -3*x, 0 = a + j*x - 0*x - 10. Suppose 4*c + 20 + 28 = 4*i, -4*c - a = 0. Solve i = -4*t - 8 for t. -4 Suppose 32*h - 416 + 160 = 0. Solve -h*p + 2 = 42 for p. -5 Let h be ((-6)/15 - 16/10)*-1. Suppose -j - c = 2*j - 9, 0 = h*j - 5*c - 6. Solve 8 - j = -5*p for p. -1 Suppose -12*o - 4 = -136. Solve o = -10*y + 31 for y. 2 Let f = 8 - 3. Suppose 5*x - 2*t + 1 = -f, -4*x = t - 3. Solve x = y + y - 6 for y. 3 Let c(l) = -l**2 + 2. Let p(q) = -q**2 + 3*q + 12. Let j be p(5). Let m be c(j). Let z be m/4*(-9 - -1). Solve -z*r = -3 + 11 for r. -2 Let o be ((-16)/(-3))/4*6. Let j be 54/(-36)*(40/(-7) + 24/(-84)). Solve -n = -o + j for n. -1 Suppose 35 = 2*k - 5*o, -4*o + 2*o - 35 = -5*k. Let s = 206 + -166. Suppose -2*g + 3*y + 4 + 35 = 0, -4*y = k*g - s. Solve -b + g = 2*b for b. 4 Let a(r) = 4*r**3 - 8*r + 9*r**2 - 5*r**3 - 6*r. Let w be a(7). Solve 3*b + 9 = -w*b for b. -3 Suppose 48*x - 1455 = -49*x. Solve -6*s + 45 = -x*s for s. -5 Let j(p) = 2*p - 5. Let a be j(5). Suppose -4*x + 85 = -5*g, -5*g + 3*g = -6. Suppose 9*f - 4*f = -h + x, -f + 29 = 5*h. Solve 15 = -f*n - a for n. -5 Let d(x) be the third derivative of x**5/120 - x**4/24 - x**3/2 - 5*x**2. Let u(v) be the first derivative of d(v). Let h be u(5). Solve -5*c - 29 = -h for c. -5 Suppose 0*u - 21 = 4*u + 3*q, 5*q = -3*u - 24. Let l = -3 - u. Suppose l = -5*v + 13 + 12. Solve -v*a = -2*a + 12 for a. -4 Suppose d - 9 = -5*s, 4*s - 2*d = d + 11. Suppose 2*w - s*w = 7*w. Let n be (-1)/((-22)/10 + 2). Solve w*q = -n*q for q. 0 Let u = 28 + -17. Suppose 3*m = n + u, n = -2*m - 4*n - 4. Let r be m*((-50)/(-3))/5. Solve r = o - 3*o for o. -5 Suppose -24*g = 10 - 490. Let i = -7 - -12. Solve -i*t + g = -t for t. 5 Let c(j) = 7*j - 6. Let o(n) = 8*n - 7. Let s(x) = -7*c(x) + 6*o(x). Let y be (-106)/20 + (-30)/(-100). Let m be s(y). Solve m*a + 5 = -5 for a. -2 Suppose 3*k + 8 = -k. Let s be 256/44 - k/11. Solve -3 + s = -t for t. -3 Let n(j) = 3*j - 4. Let m be n(3). Let z be (-10)/m*(0 - 2). Suppose 2*w = 4*x - w - 21, 4*x + z*w = 0. Solve x*d + 4 + 5 = 0 for d. -3 Let a be 80/30*(-6)/(-8). Solve -a*j = -14 + 22 for j. -4 Let o be (-6)/(48/(-4))*(0 + -38). Suppose 0 = -2*u - 2*u + 5*m - 87, -4*m - 50 = 2*u. Let g = o - u. Solve 4 = -0*x - g*x for x. -1 Let p = 480 + -472. Solve -p*j + 26 = -14 for j. 5 Suppose 0 = 10*p + 59 - 89. Solve -p*x + 9 = -0*x for x. 3 Suppose -6 = 2*f, 2*c - 5*f + 4*f - 21 = 0. Suppose -c = -13*m + 17. Solve 0 = q + m*q - 12 for q. 4 Let u be (22 + -27)/(10/(-6)). Solve 2*k = -u*k - 25 for k. -5 Suppose t - 3*m - 20 = -5, 35 = 5*t - 5*m. Suppose -3 = t*d + 4*p, 3*p + 24 = 6*d - d. Solve -d*v + 9 = -6 for v. 5 Let k(h) be the third derivative of h**5/15 + 25*h**4/24 + 4*h**3/3 - 50*h**2. Let w be k(-6). Solve -4*d = -w*d - 2 for d. 1 Suppose -21*j = -14*j - 21. Suppose 18 = 3*t - 3*x, t - j*x + x - 11 = 0. Solve -t = i - 6 for i. 5 Let t(j) be the second derivative of -j**4/12 + j**3/3 + 8*j**2 - 2*j. Let k be t(0). Suppose m - k = -3*m. Solve 0 = -m*s - 0*s - 20 for s. -5 Let p be (-30 + -1 - -6)/(-1). Solve -m - 4*m = p for m. -5 Let f be 5 + 1/1 + -2. Solve 5*k - f = 4*k for k. 4 Suppose 2*x = -3*x. Suppose q + 1 - 5 = 0. Suppose x = 2*h + q - 10. Solve h*s = 2*s for s. 0 Let l be 260/(-12) + 2/3. Let k = -19 - l. Suppose k*c - 7*j + 2*j - 6 = 0, 3*j = 0. Solve -c*b - 1 = -4*b for b. 1 Suppose -11 = -g - i + 23, 0 = -3*g + i + 122. Suppose -1 = -4*u + 2*v + g, 30 = 3*u - 3*v. Suppose 0 = o - 14 + 11. Solve -o*y = 2*y + u for y. -2 Suppose 2*k + 10 = 4*h, 2*k + 4 - 10 = 0. Suppose -6*q + 16 + 8 = 0. Suppose -9 = 2*c + c, -u + 15 = -q*c. Solve -u*j - 5 = h for j. -3 Let w = -17 + 19. Suppose -w*q - 2*o = 2*q - 4, -4*o - 8 = 0. Suppose -2*r - 3*k = -2*k - 8, -4*r + 28 = -k. Solve q*m + m = -r for m. -2 Let v(l) = 32*l**2 - 321*l + 12. Let c be v(10). Solve -c = 20*j + 58 for j. -3 Let x = -83 - -39. Let j = -10 - x. Let r = j - 19. Solve -2*p = -7*p + r for p. 3 Let v(w) = w**2 - 4*w - 65. Let a be v(11). Solve 0 = -5*i - 3 - a for i. -3 Let x(f) = 10*f**2 - 91*f + 10. Let o be x(9). Solve -2*u = -9 + o for u. 4 Let v = 414 - 409. Solve v*t - 2 = 4*t for t. 2 Let p be (-1)/(3/(-375)*5). Solve 50 = 5*c + p for c. 5 Suppose -6*w - w = 616. Let s = w + 184. Let d be 2/6*s/16. Solve -2 = -d*r - 10 for r. -4 Suppose -3*q - 2*q + 10 = 0. Suppose 3*z + 5*f + q = -z, 6 = 4*z + f. Suppose -4*r - z*m = m - 3, 0 = -4*r + 2*m - 2. Solve r = -y - y - 4 for y. -2 Let y = -101 - -104. Solve 4 = y*o + 1 for o. 1 Suppose -9*a + 264 = -555. Let n = -82 + a. Solve n + 11 = 4*w for w. 5 Suppose 0 = -8*j + 42 + 14. Solve -22 = -j*a + 6 for a. 4 Suppose -10*v + 21 = 21. Solve v = -8*n + 3*n for n. 0 Let h be (20/56*7)/((-5)/(-12)). Solve -h*z + 18 - 6 = 0 for z. 2 Suppose 2*t - 5*c = 11, 0 = -t - 3*c + 4*c + 4. Solve 0 = 3*o - 6*o - t for o. -1 Suppose 9*y + 392 = 17*y. Solve y*u = 52*u for u. 0 Let m = 2562 + -2560. Solve 26 = m*j + 11*j for j. 2 Let k be (10/(-30))/((-2)/30). Solve k - 1 = -4*z for z. -1 Suppose y + 5*k = 9, 5*y - 5*k + 32 = 77. Let j be (-60)/18*6/(-5). Solve -j*b + b = y for b. -3 Let y be (26/(-4))/((-19)/(-38)). Suppose 4*k = -4*j + 3*k - 65, 2*k = -10. Let w = y - j. Solve w*r + 3 = 1 for r. -1 Suppose 9*c + 24 = 15*c. Suppose 3*z = 4*v + 14, 4*v - 9*v = 3*z + c. Solve 2*d + z*d + 12 = 0 for d. -3 Suppose 2*r = 5*o - 4*o, -5*r - 5*o - 15 = 0. Let n be r/4*0 + 2. Solve 6*q + 8 = n*q for q. -2 Let u(k) = -k - 5*k + 5*k + 3*k**2 - 1 - 2*k**2. Let w be u(-2). Let a(y) = -4*y + 44. Let x be a(7). Solve d = w*d + x for d. -4 Let n(u) be the third derivative of -u**6/120 - u**5/10 + 2*u**4/3 + u**3/3 - 30*u**2. Let x be n(-8). Solve -2*v - x + 4 = 0 for v. 1 Let a(o) = 3*o**3 - 7*o**2 + 4*o + 7. Let w be a(4). Suppose 0 = -5*p - w + 13. Let q = p - -19. Solve -3 - q = h for h. -4 Suppose d + 2*c + 3 = 4*c, 0 = 4*c - 12. Suppose -10*f = -2*f - f. Solve f = -d*n + 4 - 1 for n. 1 Suppose 0 = -3*p + 2*p + 14. Let i = p + -14. Suppose -4*a - 3*c + 12 = 4, i = -a + 3*c + 17. Solve 4*m - a = -25 for m. -5 Suppose -5*w - 17 = 4*t - 84, -w - 1 = 0. Let j be (-1)/(((-11)/t)/11). Solve -4*q - j = 2 for q. -5 Suppose 8*t - 187 = -3*t. Solve -t*g + 11 = 96 for g. -5 Let t be (-64)/(-5) - (-2)/10. Let i(w) = -w**2 - 7*w + 5. Let j be i(-6). Suppose 5*n = 3*q + t, -2*q + q = -3*n + j. Solve 4*x - n = -1 for x. 1 Suppose -23 = m + 43. Let l be (10/(-4))/(-2 + m/(-36)). Solve 0 = -k - 2*k + l for k. 5 Let j(i) = -2*i**2 - 28*i - 85. Let a be j(-9). Solve -a - 4 = -3*t for t. 3 Suppose -146*z + 30 = -144*z. Solve v = 4*v - z for v. 5 Let b(t) = 3*t + 28. Let h be b(-8). Solve -h*u - 20 = -0*u for u. -5 Let a = -325 + 329. Solve a = -11*t + 7*t for t. -1 Suppose -3*t + 2*b + 118 = 0, -4*t + 63 = -2*b - 97. Solve t = -13*s - s for s. -3 Let l be 2/(-4) - (3/2 + -2). Let h be ((-3)/(-3))/(l - -1). Solve 0 = -t + 4 + h for t. 5 Let x be -350*(7/2 - 4). Let c be 1/3 + x/15. Solve 0 = -6*n + 2*n - c for n. -3 Let t(l) = 16*l**2 + 9*l**2 - 24*l**2 + 2*l. Let x be t(-4). Solve -4*a + 4 = -x for a. 3 Let u(a) = 21*a - 82. Let t be u(4). Solve -t*x - 5*x = -x for x. 0 Let k = -207 + 212. Solve -2*o - 3 = -k*o for o. 1 Let d(v) = 5*v - v**2 + 8 - 23 + 11 + 6. Suppose 0 = -2*n, -2 = -3*y - 4*n + 10. Let b be d(y). Solve -5 = -t + b*t for t. -1 Let d(s) = 9*s**2 + 54*s + 54. Let i be d(-1). Solve -i*v + 5 + 22 = 0 for v. 3 Let d be 0 + -51*(-7)/1. Let u be 344/34 + (-42)/d. Solve 0 = 2*c - u for c. 5 Suppose 5*s - 8 - 22 = 0. Let l(m) = m**2 - 4*m + 7. Let z be l(s). Let j = z + -16. Solve -7*b + 20 = -j*b for b. 5 Let h be (9 - 0) + 1*-1. Suppose -69*v = 10*v - 539 - 14. Solve 0 = -h*m + v*m - 2 for m. -2 Let g be 6/5*(-20)/(-6). Solve 0 = -5*b + 9*b - g for b. 1 Let l(w) = -w**3 + 4*w**2 - w - 1. Let c be l(3). Suppose -3*d = -4 - c. Solve 8 = -d*x - 7 for x. -5 Let b(z) = -10 - z**2 + 2 - 11*z + 3*z. Let w = -34 - -28. Let i be b(w). Solve i = -t - 1 for t. -5 Let x be (-17 - 1)*(-3)/(-2). Let n = -21 - x. Let d be (-56)/21*(-9)/n. Solve -d = -h - h for h. 2 Let a(p) = 4*p**2 + 11*p + 12. Let j be a(-1). Solve 0 = -9*z + 4*z + j for z. 1 Suppose 3*r + 5*g + 355 = 0, -3*r - 310 = -0*r - 4*g. Let s = -104 - r. Solve -s*i - 5 = -7*i fo
{ "pile_set_name": "DM Mathematics" }
3 + 65*n**2 + 235*n + 112. Is 15 a factor of m(68)? True Let c(l) = 51*l**2 - 1. Let b be c(-1). Let w be (12/((-12)/3))/(-3). Let s = b + w. Does 15 divide s? False Let r(o) = 2*o**2 + 5*o + 5. Let h be r(-2). Let x be (h - 3)/(3 - 2). Suppose x = -n + g + 2*g + 18, n = -3*g + 18. Is n a multiple of 18? True Let a(u) = 3*u - 2. Let p be a(2). Suppose 3*k - 221 = -p*n, 3 = -n - 2*k + 57. Does 7 divide n? True Let v = 134 + -60. Let i = v + -56. Is i a multiple of 3? True Suppose 1612 = 27*s - 1763. Is 4 a factor of s? False Suppose 0 = 3*n + 2*g + 8, 2*n - 7*g + 6*g + 10 = 0. Let l = n - -24. Is 20 a factor of l? True Is 54/(-63) - (-60112)/28 a multiple of 29? True Suppose q = -42 + 159. Is 31 a factor of q? False Let z(i) = -15*i**3 + 2*i + 1. Let j be z(-1). Let o be 2/(-6) + (-28)/(-12) + 0. Suppose o*c = 34 + j. Does 8 divide c? True Let s(k) = k**3 - 3*k**2 - 4*k - 2. Let g be s(-2). Let w be 1/1 + (g - 1). Let t = w + 25. Is 5 a factor of t? False Let t(z) = z**2 + 9*z + 10. Let y be t(-5). Is 4 a factor of (1 + 1)*5 - 20/y? True Let v = 17 + -13. Suppose q - 296 = -2*o - 3*q, -o = v*q - 156. Is 14 a factor of o? True Let v = 3083 + -1741. Does 122 divide v? True Suppose -5*l - 4*z = -13, 3*l - z - z = -1. Let i = l - -4. Suppose i*k = 28 + 97. Does 12 divide k? False Suppose o + 34 = -18. Let w(t) = t**3 + 9*t**2 + 3*t + 10. Let n be w(-5). Let s = n + o. Is s a multiple of 12? False Let j be 61 + 1 - 2*-1. Let h = j + -25. Suppose u + h = 4*u. Is u a multiple of 4? False Let q be (-11 + 21)*(-2)/(-5). Suppose -3*r = -5*f - 111, -2*r = -3*f - q*r - 59. Let h = -1 - f. Is 7 a factor of h? False Let a(c) = c**2 + 4*c - 5. Let u be a(2). Is 2 a factor of 36/(0 + 2) - (-7)/u? False Let f = -12 - -24. Suppose 5*w + 5*d = 4*d + f, -w = 5*d - 12. Suppose 5*o + 4*h - 100 = 55, 0 = o - w*h - 17. Is 13 a factor of o? False Let l be 66/176 - 243/8. Is 102/(-4)*-5*l/(-25) a multiple of 27? False Suppose -w + 36 = 2*w. Suppose 7 - w = -k. Suppose 2*c + 0*c - 142 = -4*o, o = k*c + 8. Does 11 divide o? True Let y = 38 + -36. Suppose v + 15 = y*v - t, 3*t + 62 = 4*v. Suppose -v = -2*z + 3. Is 4 a factor of z? False Suppose -d = 2*h - 1964, 3*d + 5223 = 4*h + 1315. Is 29 a factor of h? False Let w(g) = 135*g - 918. Is 8 a factor of w(32)? False Is (129/6 - -11)*356/5 a multiple of 26? True Suppose 1406 = n + q, -3*n - 4210 = -6*n - 5*q. Suppose 3*r + 0*r + 5*p - 11 = 0, 0 = -2*p - 4. Is n/35 - 2/r a multiple of 20? True Let z(r) = 76*r + 750. Is 50 a factor of z(0)? True Let q(v) = -v**3 + v**2 + v - 2. Let z be q(-2). Suppose -3*i = -z*i + 525. Is 22 a factor of i? False Does 14 divide 3/30 + (-7836)/(-40)? True Let b(c) be the first derivative of -2 - c**2 - 2*c + 5 + c**4 - 2*c**4. Is b(-2) a multiple of 6? False Let p = -1812 + 2676. Does 18 divide p? True Is (1 + 14/6)*33/2 a multiple of 2? False Let c = -67 + 22. Let v = 71 + c. Does 6 divide v? False Suppose 2*v = -v - 4*f + 38, v + 5*f - 31 = 0. Suppose 24 = -5*b + v*b. Is b a multiple of 6? True Suppose -227 = 4*j - 0*w - w, 3*w = -15. Let b = j + 116. Does 5 divide b? False Let m = -1761 + 2525. Does 35 divide m? False Let b = 13 + -10. Suppose -b*h - 38 = 4*l, -4*h + 6*h = -l - 27. Let u = h - -18. Does 3 divide u? False Suppose -147*a + 151*a - 528 = 0. Does 44 divide a? True Let f(j) = j**3 - 19*j**2 - j + 22. Let x = -6 + 25. Let a be f(x). Is 15 a factor of a - (-3 - (-3 - -21))? False Let j(v) = -v**2 + 16*v - 25. Let r be j(14). Suppose -8*z = -r*z - 80. Is 2 a factor of z? True Let o = 828 - 371. Is o a multiple of 41? False Suppose 3*s + 29 = -2*q, -34 = 2*q + 3*s + s. Is 7 a factor of -2 - -38 - 1 - (q - -10)? False Let j(v) = -4*v - 1. Let k be j(-1). Suppose y - 3*y = -3*i + 9, k = i + 5*y. Does 3 divide i? True Suppose 0 = -3*i - 9, -5*b - 3*i - i + 63 = 0. Suppose 12*g - b*g = 51. Is -1*(g + 0 + 3) a multiple of 7? True Let m be (-1*(-8)/(-12))/(4/6). Is 7 a factor of m/((-5)/210*2)? True Suppose -4*i - y = -6132, -5*y + 5519 = 5*i - 2131. Does 20 divide i? False Let f(j) = 3*j**2 + 2*j + 8. Let m be f(-6). Let g be ((-18)/(-54))/(1/15). Suppose -9*a = -g*a - m. Is a a multiple of 8? False Suppose -19*w = -18*w + g - 1908, 5*w = -2*g + 9531. Is w a multiple of 11? False Suppose 0 = 9*z - 1082 - 5578. Is z a multiple of 10? True Does 63 divide 4/(-8) - 2628/(-8)? False Is (-80352)/(-810)*(14/4 + -1) a multiple of 4? True Let r(q) = -q**2 + 17*q - 14. Let i be r(6). Suppose 0 = 3*w - 6, 2*z - z - i = 2*w. Is 14 a factor of z? True Suppose -h = -4*b - 2056, 5*b - 12504 - 5836 = -9*h. Does 15 divide h? True Suppose -3*a + 0*a - x = -194, -2*a + 106 = -4*x. Let f(b) = 0*b - 50 - 2*b + a. Is f(4) a multiple of 2? False Suppose 4 = -5*z - a - 1, -5*z = 2*a + 10. Suppose k = -z*k + 2. Is 9 a factor of (15 - -5) + 0 + k? False Let t(s) = s**3 + 29*s**2 + 62*s + 10. Is t(-25) a multiple of 40? True Suppose -3*d = -d - 4. Suppose d*x - 23 - 43 = 0. Suppose 0 = -3*p - 0*p + x. Is p a multiple of 2? False Suppose -22*c = -60*c + 5320. Is 15 a factor of c? False Suppose -4*i - 4*p = p - 23, -10 = 2*p. Suppose 0 = -i*w + 14*w. Suppose 3*v = -5*m + 153, w*v = 2*m - v - 70. Does 31 divide m? False Is 29 a factor of -76*-1*58/8? True Suppose 0 = 199*t - 200*t + 12. Suppose -i = 3*i - 2*o - 186, 0 = -4*i + 4*o + 180. Suppose 5*w - t = -5*n + i, -3*w - 4*n = -32. Does 6 divide w? False Does 8 divide ((-2224)/12)/((-14)/105)? False Suppose -5*u - 177 = r, 0*u = -r + 3*u - 177. Does 20 divide 4/(-12)*r + 1? True Suppose 3*a + 2*r = 13, 4*a - 10 = -r + 2*r. Suppose -a*v + 112 = 31. Is 9 a factor of v? True Let p(h) = h**2 - 16*h + 9. Let f be p(14). Let m = f + 33. Does 9 divide m? False Does 33 divide ((-1)/2)/(45/(-46530))? False Suppose -y = 4, 5*y + 16 = u - 23. Suppose -10*q - u = -11*q. Is 4 a factor of q? False Let y be (1 + -1)/(-2) + 2 + 633. Suppose 0 = 3*t - y + 179. Does 38 divide t? True Let u(i) = i**2 + 5*i - 8. Let x be u(-6). Let g(y) = -y - 3. Let f be g(x). Is (-7)/((-3)/(-6)*f) a multiple of 7? True Let s(t) = 111*t**2 + 1. Let a be s(-1). Suppose 4*r - 106 = b, -3*r = r + 2*b - a. Is r a multiple of 9? True Suppose 5*r + 32 + 47 = -2*h, -56 = 3*h - 5*r. Let t = 166 + h. Does 23 divide t? False Suppose 2*x + 3 = -17. Is (14/x - 1)/(2/(-80)) a multiple of 30? False Suppose -5*f + a + 14 = -16, 5*a = 5*f - 30. Suppose 0 = -2*z + 2*j + 226, -10*z + 15*z = -j + 589. Does 13 divide (-8)/(-6)*z/f? True Let k = -292 + 500. Is 16 a factor of k? True Let t(r) be the first derivative of r**3/3 - 5*r**2/2 + 3*r - 12. Is t(7) a multiple of 9? False Let u(d) = -d**2 + 17*d - 27. Is u(7) a multiple of 43? True Let t(o) = 9*o + 52. Does 4 divide t(-4)? True Let d(p) = 11*p + 2. Let a be d(-4). Let u = 84 + a. Is 14 a factor of u? True Suppose -1 + 5 = 4*m, -5*m + 1 = -2*r. Let x(t) = 3*t + 2*t - t - 13 + t**r. Does 22 divide x(-9)? False Let y be (60/36)/(4/12). Suppose 3*h + 2*f = -2*h + 12, 0 = -2*h - 4*f - 8. Suppose -5*s + 129 = 6*q - h*q, 3*s = y*q - 307. Is 15 a factor of q? False Is 8 a factor of ((-16)/(-6))/((-6)/(-486))? True Let h = -22 + 28. Suppose 58 = -3*g - 4*c, -g - c + 112 = -h*g. Let z = -5 - g. Does 17 divide z? True Let z be (-3 - -9)/(-2) + 199. Suppose 6*h + s = 2*h + z, 245 = 5*h + 4*s. Is 7 a factor of h? True Suppose y - 680 = -3*y. Suppose -3*n - y = 364. Does 8 divide n/(-8) + 6/(-24)? False Let k(q) = 3*q + 21. Let z = 5 - -3. Is 4 a factor of k(z)? False Suppose 19*c = 10498 + 6108. Is c a multiple of 4? False Suppose 2*p = 5*o + 437, 0 = 4*p - 3*o + o - 866. Does 4 divide p? True Let z(t) = 3*t**2 - 20*t - 256. Is z(-15) a multiple of 60? False Does 19 divide (-430)/55 + 8 + (-50649)/(-33)? False Suppose -5*i + 37 = 12. Suppose -i*l - 117 = -2*r + 6*r, 0 = 2*l + 10. Let y = 49 - r. Does 28 divide y? False Let p(u) = -165*u - 72. Does 20 divide p(-4)? False Let i(p) = 4*p**2 + p + 7. Is 4 a factor of i(4)? False Suppose 3*m + 3*o = 84, 6*o = 4*m + 2*o - 112. Suppose 0*p - m = -7*p. Is p even? True Let s(m) = -266*m**3 - 13*m**2 - 29*m - 5. Is 60 a factor of s(-2)? False Suppose -11*p + 28782 = 28*p. Is 41 a factor of p? True Suppose m - 7 = 3*v - 4*v, 5*m + 1 = 4*v. Let u = 76 - -4. Suppose u = j + m*j. Is 10 a factor of j? True Suppose 0 = -3*t - 503 + 4319. Do
{ "pile_set_name": "DM Mathematics" }
the prime factors of 208736452? 2, 337, 154849 What are the prime factors of 933813362? 2, 523, 892747 List the prime factors of 31960869. 3, 19, 23, 24379 What are the prime factors of 741337049? 741337049 List the prime factors of 25435726. 2, 29, 59, 7433 List the prime factors of 12276626. 2, 6138313 What are the prime factors of 3394102424? 2, 424262803 What are the prime factors of 361337523? 3, 37, 3255293 List the prime factors of 163547814. 2, 3, 193, 141233 What are the prime factors of 1061510798? 2, 137, 311, 12457 List the prime factors of 152263113. 3, 1733, 29287 List the prime factors of 95422705. 5, 7, 2726363 What are the prime factors of 174641028? 2, 3, 14553419 What are the prime factors of 422623453? 7, 71, 850349 What are the prime factors of 4292368947? 3, 17, 28054699 List the prime factors of 78617360. 2, 5, 523, 1879 What are the prime factors of 1042660917? 3, 12872357 List the prime factors of 348337988. 2, 443, 196579 List the prime factors of 728584150. 2, 5, 7, 631, 3299 List the prime factors of 167408334. 2, 3, 317, 29339 What are the prime factors of 179511569? 179511569 List the prime factors of 3102059505. 3, 5, 206803967 List the prime factors of 2825924904. 2, 3, 11, 83, 42989 What are the prime factors of 64534851? 3, 7170539 List the prime factors of 592424071. 71, 8344001 List the prime factors of 46710741. 3, 7, 11, 433, 467 List the prime factors of 715482450. 2, 3, 5, 529987 What are the prime factors of 293632907? 293632907 What are the prime factors of 4009117526? 2, 2004558763 List the prime factors of 688579916. 2, 37, 4652567 List the prime factors of 169073388. 2, 3, 11, 109, 3917 What are the prime factors of 59492875? 5, 13, 31, 1181 What are the prime factors of 5219965545? 3, 5, 347997703 What are the prime factors of 4094714537? 17, 29, 8305709 List the prime factors of 1206453971. 269, 4484959 What are the prime factors of 23005158? 2, 3, 11, 348563 List the prime factors of 1982723763. 3, 23, 173, 166099 What are the prime factors of 554518478? 2, 17, 181, 90107 What are the prime factors of 59778496? 2, 934039 What are the prime factors of 5494199148? 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2, 2551, 577937 List the prime factors of 1852866335. 5, 370573267 List the prime factors of 585979544. 2, 41, 1277, 1399 What are the prime factors of 240730343? 7, 4079, 8431 List the prime factors of 74768451. 3, 24922817 What are the prime factors of 596426210? 2, 5, 101, 179, 3299 What are the prime factors of 62153111? 62153111 List the prime factors of 3171662811. 3, 367, 106693 What are the prime factors of 211613654? 2, 7, 17, 71, 1789 What are the prime factors of 4138232366? 2, 37, 43, 35149 List the prime factors of 847583036. 2, 211895759 List the prime factors of 2334352027. 7, 19, 3083, 5693 What are the prime factors of 1950613? 7, 31, 89, 101 List the prime factors of 775186317. 3, 86131813 What are the prime factors of 54284608? 2, 7, 121171 List the prime factors of 12527915. 5, 109, 127, 181 What are the prime factors of 326343716? 2, 83, 787, 1249 What are the prime factors of 231703278? 2, 3, 4423, 8731 What are the prime factors of 1800852078? 2, 3, 499, 601487 List the prime factors of 640804. 2, 160201 List the prime factors of 151751798. 2, 11, 1879, 3671 What are the prime factors of 37780817? 17, 109, 20389 What are the prime factors of 635968142? 2, 443, 717797 What are the prime factors of 3404549? 3404549 List the prime factors of 879401048. 2, 151, 727981 What are the prime factors of 2180041397? 83, 26265559 List the prime factors of 1078981217. 9281, 116257 What are the prime factors of 544313091? 3, 7, 25919671 List the prime factors of 2714228641. 19, 313, 456403 What are the prime factors of 1241789213? 7, 19, 193, 6911 What are the prime factors of 716109974? 2, 317, 1129511 List the prime factors of 129785298. 2, 3, 67, 322849 What are the prime factors of 118002468? 2, 3, 1543, 6373 List the prime factors of 3524491420. 2, 5, 176224571 What are the prime factors of 839869887? 3, 17, 31, 167, 3181 What are the prime factors of 33630401? 7, 29, 165667 What are the prime factors of 123030751? 17, 7237103 List the prime factors of 4107913100. 2, 5, 79, 519989 List the prime factors of 39604082. 2, 7, 29, 97547 List the prime factors of 145923275. 5, 5836931 What are the prime factors of 74476685? 5, 269, 55373 What are the prime factors of 1658029544? 2, 31, 6685603 List the prime factors of 98219408. 2, 7, 31, 28289 What are the prime factors of 744808573? 17, 31, 953, 1483 What are the prime factors of 174304955? 5, 11, 19, 166799 List the prime factors of 234518844. 2, 3, 7, 31, 113, 797 What are the prime factors of 1739860481? 29, 173, 346793 What are the prime factors of 3554172450? 2, 3, 5, 67, 117883 What are the prime factors of 21213637? 17, 1247861 List the prime factors of 88345173. 3, 7, 1901, 2213 What are the prime factors of 1924419234? 2, 3, 419, 863, 887 List the prime factors of 79517194. 2, 17, 137573 List the prime factors of 22733285. 5, 83, 54779 List the prime factors of 5942800997. 7, 9973, 12161 What are the prime factors of 28711886? 2, 7, 2050849 What are the prime factors of 11833161? 3, 3944387 What are the prime factors of 214875301? 41, 1949, 2689 What are the prime factors of 646355675? 5, 7, 919, 4019 List the prime factors of 71849566. 2, 3301, 10883 List the prime factors of 138530295. 3, 5, 3078451 What are the prime factors of 5418146106? 2, 3, 3581, 28019 What are the prime factors of 3230524057? 37, 87311461 What are the prime factors of 15433794? 2, 3, 41, 6971 List the prime factors of 7736653158. 2, 3, 13, 37, 2680753 What are the prime factors of 569675798? 2, 59, 293, 16477 What are the prime factors of 1292232689? 11, 43, 307, 809 What are the prime factors of 34109890? 2, 5, 3410989 What are the prime factors of 2676862852? 2, 4933, 135661 List the prime factors of 71338076. 2, 233, 76543 List the prime factors of 15348661. 15348661 List the prime factors of 4808159804. 2, 7, 171719993 What are the prime factors of 1038463707? 3, 8819, 39251 What are the prime factors of 1250876701? 181, 6910921 What are the prime factors of 96540251? 257, 375643 What are the prime factors of 80063979? 3, 31, 43, 20021 List the prime factors of 3278930792. 2, 389, 599, 1759 What are the prime factors of 40435201? 40435201 What are the prime factors of 2255940232? 2, 7, 13, 3098819 What are the prime factors of 1204346450? 2, 5, 109, 137, 1613 List the prime factors of 152192279. 17, 8952487 What are the prime factors of 704855902? 2, 352427951 What are the prime factors of 8291746? 2, 4145873 What are the prime factors of 9471121? 11, 227, 3793 What are the prime factors of 991375941? 3, 41, 8059967 List the prime factors of 159940644. 2, 3, 53, 193, 1303 What are the prime factors of 124343671? 53, 2346107 What are the prime factors of 778422438? 2, 3, 19, 2276089 What are the prime factors of 184698427? 184698427 List th
{ "pile_set_name": "DM Mathematics" }
j. 2 Let o(a) = -a**3 + 2*a**2 - 3*a + 9. Let j be o(0). Suppose 0 = j*i - 3734 - 4195. List the prime factors of i. 881 Let p(v) = 3*v**2 + 12*v + 33. Let m be p(-6). List the prime factors of (-4*m/6)/(17/(-119)). 2, 7, 23 Let i = -3532 + 5238. What are the prime factors of i? 2, 853 Suppose 0 = -76*o + 80*o - 12, 2*q - 2*o - 57792 = 0. What are the prime factors of q? 3, 13, 19 Suppose 3106*m = 3087*m + 128763. What are the prime factors of m? 3, 251 Let u be ((-10)/(-30))/(2/(-1482)). Let t = 335 - u. List the prime factors of t. 2, 3, 97 Let i = 74160 + -50029. List the prime factors of i. 59, 409 Let b be ((-214)/(-8))/(16/64). Suppose b + 293 = 2*m. List the prime factors of m. 2, 5 Suppose -6*b = -50145 - 19617. What are the prime factors of b? 7, 11, 151 Suppose 125 = -44*k - 7. What are the prime factors of (7 + k + -281)/(-1)? 277 Suppose -5*r + 6248 = 3*s, 39*s + 6 = 40*s. List the prime factors of r. 2, 7, 89 Let l(d) = -d**3 + 4*d**2 - 3*d + 12. Let b be l(4). Suppose b = -38*s + 48*s - 1190. List the prime factors of s. 7, 17 Suppose 0 = 2*r - 5*r + 18. Suppose -r*g = -2*g - 2*i, 0 = -g - 5*i + 22. Suppose 10*o - 712 = g*o. What are the prime factors of o? 89 Let r(l) = -32*l**3 - 45*l**2 - 52*l + 9. List the prime factors of r(-7). 2, 3, 127 Suppose -5*p = -3*f - 0*f - 14, -20 = -5*p. Suppose f*j = -3*c + 472 + 381, 0 = -3*c + 9. What are the prime factors of j? 2, 211 Let q(o) = -157*o - 40. Let b be q(-3). Let l = 700 - b. What are the prime factors of l? 269 What are the prime factors of 1/(5/10) + (28664 - 0)? 2, 11, 1303 Let q be 4/34 - 198/(-51). Suppose 3*d + 4*i - 712 = 0, d - q*i + 99 - 315 = 0. What are the prime factors of d? 2, 29 Let i be 168/(-10)*(-8 - (-324)/8). Let g = 114 - i. List the prime factors of g. 2, 3, 5, 11 Suppose -4*p - 2*c + 12 = 0, 2*p - 4 - 6 = -3*c. Suppose 0 + p = w + 5*j, -5*w = 4*j - 10. What are the prime factors of (((-696)/30)/w)/((-4)/10)? 29 Suppose -5*i + 114 + 6 = 0. Suppose 444 = i*o - 756. List the prime factors of o. 2, 5 Let j = -77 - -117. Let h = j + -53. Let k(o) = -o**3 - 11*o**2 + 27*o + 29. What are the prime factors of k(h)? 2 Suppose 5*i - 3*p = 412 + 425, -i + 2*p = -166. List the prime factors of 5*(i/15 - 6). 2, 13 Let z(b) be the first derivative of b**4/4 + 13*b**3/3 + 4*b**2 - 3*b - 39. Let o be z(-12). List the prime factors of (-8)/6*o/(-6). 2, 5 Let k = -47070 + 79602. List the prime factors of k. 2, 3, 2711 Let g(n) = 2*n**2 - 54*n + 59. Let r be g(26). Suppose 0 = -r*j + 1041 + 8185. What are the prime factors of j? 2, 659 Let s(n) = n + 8. Let p be s(15). Suppose -4*l + 3*g = -p, 0 = -2*l - 2*g + 3 + 5. Let w(v) = 19*v - 18. List the prime factors of w(l). 7, 11 Let s(c) = 55*c - 53. Let m be s(10). Suppose 3*o + 2*b - 94 = b, 4*o + 3*b = 117. Suppose -5*a + m = -o. List the prime factors of a. 2, 53 Let x be (3/2)/((-6)/472). Let t = 299 - x. Suppose 0 = -7*q + 87 + t. List the prime factors of q. 2, 3 Let p = 74497 + -43292. List the prime factors of p. 5, 79 Let o(n) = -13*n**2 + 36*n + 78. Let x(u) = 6*u**2 - 18*u - 39. Let v(w) = 4*o(w) + 9*x(w). Let k be v(20). Let s = k - 276. What are the prime factors of s? 5 Suppose -2*g - 2*x - 1168 = 1360, 0 = 2*g - 4*x + 2504. Let y = -78 - g. What are the prime factors of y? 2, 3, 197 Let x = -423 - -299. Let l = x - -263. What are the prime factors of l? 139 Let i(q) = q**3 + 4*q**2 - 4*q + 3. Let v be i(-4). Suppose 3*x - 10 = -2*x - 5*w, 0 = -5*x + 5*w. What are the prime factors of (v - 18)*281*x? 281 Let a(m) = 21*m**3 + 51*m**2 - 477*m. What are the prime factors of a(8)? 2, 3, 5, 17 Suppose -9*o + 12*o - 7 = 2*d, -2*d + 18 = 2*o. Suppose 3*s = 5*r - 794, 0 = -o*s + 8 + 2. What are the prime factors of r? 2, 5 List the prime factors of (-5 + ((-414)/(-27))/2)/(2/7776). 2, 3 Suppose 196*u = a + 197*u - 17576, 0 = -3*u + 3. List the prime factors of a. 5, 19, 37 Let g = -2846 - -10130. List the prime factors of g. 2, 3, 607 Let g = 23 - 25. List the prime factors of 0/(g - 1) - -269. 269 Let b = 85 - 100. What are the prime factors of 79*b/((-120)/64)? 2, 79 Suppose 7*g + 102 = 10*g. Suppose -33*i - 526 = -g*i. What are the prime factors of i? 2, 263 Let b be ((-1405)/(-10))/(3 + 5/(-2)). Suppose -26*y = -29*y - c + 421, -2*y + b = c. List the prime factors of y. 2, 5, 7 Let t be (-13 - -1)*((-45)/27)/(-5). Let s(a) = 5 + 4*a - 29*a + 16. List the prime factors of s(t). 11 Suppose -12395 = -7*b - 4632. List the prime factors of b. 1109 Suppose 51644 = 13*p - 1916. What are the prime factors of p? 2, 5, 103 Let u = -277 - -192. Let v be (0 - -2) + u + -3 + 6. List the prime factors of 0 - (-3 - -4) - v. 79 Let t be (-7 + 6 + 1)/(-2 + 1). Suppose t = -4*c + 5*i + 1727 + 1198, 0 = 3*c + 4*i - 2217. List the prime factors of c. 3, 5, 7 Suppose -5*t = 5*o - 155, -2*o = 5*t - 43 - 28. List the prime factors of (52/(-8) - -5)*o/(-3). 2, 7 Let r(k) = 4*k**2 + 90*k + 544. List the prime factors of r(-29). 2, 11, 59 Suppose -8491 = -16*d + 9*d. Let b = d + -663. List the prime factors of b. 2, 5, 11 Suppose -5*p - 396 = -6*p + 2*m, -765 = -2*p - 5*m. Let c be 817/13 + (-5)/(p/(-12)). Suppose -c - 27 = -n. List the prime factors of n. 2, 3, 5 Let j = 9096 + 29551. List the prime factors of j. 7, 5521 Suppose 2*n - 40 = -6*n. Suppose n*b = -4*b. Suppose 448 = 3*s + 4*m, b*s + 584 = 4*s + 2*m. What are the prime factors of s? 2, 3 Let k be (-8 - 336/(-32))*(-904)/10. Let a(i) = -13*i**2 - 6*i + 4. Let j be a(-6). Let d = k - j. What are the prime factors of d? 2, 101 Let j = -20 + 35. What are the prime factors of (-8 - (-219)/j)*65? 3, 11, 13 Let t(w) be the third derivative of -w**8/20160 + w**7/630 - w**5/3 + 10*w**2. Let r(q) be the third derivative of t(q). List the prime factors of r(2). 2, 3 Suppose 15*n = 42 + 18. Suppose 2*m + r = 9, 4 + 5 = -2*m + 5*r. Suppose -c + 3*p - 553 = -6*c, m*c - n*p - 326 = 0. List the prime factors of c. 2, 5, 11 Let s(x) = -4*x**3 - 17*x**2 - x - 199. List the prime factors of s(-18). 31, 569 What are the prime factors of 6/(-8 - 5889030/(-736113))? 35053 Let u be -1*6*(-11 + (-341)/(-33)). Suppose -2*q = -2*l - 4*q + 2462, 2*q + 4930 = u*l. What are the prime factors of l? 2, 7, 11 Suppose -3*b + 5*z + 3368 = 0, -5*b = -4*z - 2204 - 3392. What are the prime factors of b? 2, 3, 31 Let w(o) = o**2 - 12*o + 34. Let t be w(12). Let j = t + -2. List the prime factors of j. 2 Let y(p) = p**3 + 19*p**2 - 19*p + 28. Let u be y(-20). Suppose u*q = -0*q + 1888. What are the prime factors of q? 2, 59 Let b = 1142 + -356. Suppose -2*g + 2064 = 2*i, -i + g + 248 = -b. What are the prime factors of i? 1033 Let z(q) = -1715*q + 494. What are the prime factors of z(-13)? 13, 1753 Let w = -41 + 44. Let j be ((-10)/w)/(4/(-6)). What are the prime factors of -1 + 0/(-1) + j + 67? 71 Suppose 0 = 5*s - 3*y + 5, 5*s - 3*y + 4*y = 15. Let b(c) = c**2 + 11*c + 34. Let a be b(-15). Suppose -s*l = -a - 128. What are the prime factors of l? 3, 37 Let w(v) = -v**3 + 23*v**2 - 36*v + 75. Let g = 409 + -390. List the prime factors of w(g). 5, 167 Let z = 26092 - 14064. What are the prime factors of z? 2, 31, 97 Suppose 4*m + 1 = m + 5*k, 0 = 5*m + k - 17. Suppose -116 = -4*h + m*t, 5*t - 28 - 56 = -2*h. Suppose 516 = 36*v - h*v. What are the prime factors of v? 3, 43 Suppose -2*d - 1 = -3*d. Suppose 2*m + 5*g = -6 - 1, -4*m = 5*g - d. What are the prime factors of ((-56)/(-20) - m)*(-29 + -1)? 2, 3 Let x = 3857 - 3694. Let p = 408 - 32. Let k = p - x. List the prime factors of k. 3, 71 Let b = -369 - -372. What are the prime factors of 9 - -233 - b*-2? 2, 31 Let x(u) = -6*u**3 + 12*u**2 - 2*u - 10. Let v(p) = -p**3 + p**2. Let l(j) = 8*v(j) - x(j). What are the prime factors of l(-3)? 2, 11 Let i = -77 - -76. What are the prime factors of (2/i - -4 - 1)*238? 2, 7, 17 Let z be 7 + 6040/(-16) + 9/6. Let u = z - -671. What are the prime factors of u? 2, 151 Let u(b) = 677*b**2 + 160*b + 161. List the prime factors of u(-1). 2, 3, 113 Let x = 48 + 8. Suppose 41*c = 45*c - x. Suppose -2830 = -c*q + 124. What are the prime factors of q? 211 Let x = -82186 + 132654. What are the prime factors of x? 2, 11, 31, 37 Let r(q) = 23*q**2 - 22*q + 12. What are the prime factors of r(-18)? 2, 3, 5, 131 Let n be 6 - (-9)/(-3
{ "pile_set_name": "DM Mathematics" }
17 - -1)? -16 Calculate (2 - -2 - (37 - 32)) + (6 - 14). -9 What is -106 - -111 - (9 - -1)? -5 Evaluate -1 + -10 + (-8 + -11 - -4 - -1). -25 74 + -33 + -28 - -11 24 Calculate (-6 + 3 - 0) + 1 + 4 + 0. 2 What is the value of 5 + (8 - (3 - -36))? -26 Evaluate 4 + (-5 - -13) + -16. -4 Evaluate 28 - ((26 - 0) + -18). 20 What is the value of (1 - (-10 + 3)) + -2 - (-1 - 1)? 8 What is the value of 46 - 18 - 46 - (1 - 37)? 18 What is 64 + -54 + (-2 - (-5 - -2)) + -16? -5 -5 + (1 - -4 - -1 - (7 - 11)) 5 -29 - -1 - (-718 - -693) -3 What is the value of 5 + (1 - 11 - 2)? -7 What is (-93 - -79 - (-4 + 2)) + -10? -22 Calculate (9 + -8 - 31) + 5. -25 15 - (8 + (-10 - -3 - 0)) 14 Evaluate 19 + -5 + (-44 - 5 - -11). -24 (-288 - -288) + 1 + (-2 - 21) + 0 -22 What is the value of (-2 - -9 - 19) + -3 - -7? -8 1 + (4 - 0) + -4 + (-10 - 3) -12 -16 - ((18 - -1) + -31) -4 What is (28 - 42) + (1 - -1) + 1? -11 -32 - ((-18 - -13) + -12) - -11 -4 What is -4 + 23 + -12 - (-1 - -10)? -2 433 - 435 - (1 - (1 + 6)) 4 What is the value of 40 - (-29 + 5 + 31)? 33 29 - (4 + (-19 - -26)) 18 1 + (-7 - 1) - (-4 + (-6 - -4)) -1 Evaluate (1 - -6) + (21 - 29) + 9. 8 Evaluate -7 + 2 - (-55 + 72). -22 What is -41 + 50 + -20 - (-1 + -2 - 0)? -8 Evaluate -5 - ((13 - 9) + -1 + (1 - -3)). -12 What is the value of (-9 - 2) + 2 + 14? 5 What is the value of 15 + (30 - 27) + -23? -5 Evaluate (6 - 0) + (4 + -13 + 3 - -5). 5 What is 29 + -30 + 32 - 36? -5 Evaluate 56 + 10 + -24 + -18. 24 What is the value of 1 - (-16 + 12 + 3)? 2 Calculate 2 + (-1 - 8 - -2) + -3. -8 Calculate -11 + ((-15 - -7) + 0 - -9). -10 Evaluate (-7 - 1) + (2 + -8 - -14) + -7. -7 Evaluate (43 - (-35 - -71)) + (-1 + -2 - 0). 4 Calculate 0 - (-26 + 29 + (-1 - 9)). 7 What is (-22 - (-21 + 5)) + (-2 - 1) + 18? 9 Evaluate (2 - 10) + 32 + -45. -21 Calculate (49 - 51) + (2 - (4 - 1) - -6). 3 What is 1 - (7 - -1) - -8? 1 What is -7 + 3 - (-1 - -3 - (25 - 45))? -26 What is -63 + 71 + 1 - (-12 - -1)? 20 Evaluate -353 + 361 - (3 + -1 + 4). 2 What is the value of (-3 - -1) + -2 + -165 + 173? 4 8 + (-8 - -1) - (-13 + (13 - 6)) 7 Calculate (-4 + -4 - -8 - 4) + 3. -1 What is (-22 + 18 - -1) + (1 - -8) - -2? 8 Calculate -6 + (-2 - -7) + 9. 8 What is -25 + -3 + 6 + 12 + -20? -30 What is the value of (11 - (64 - 20)) + (-1 - 1) + 7? -28 What is the value of (42 - -13) + -10 - 38? 7 -26 + (0 - -6) - -37 17 Calculate (18 - -26) + -52 + 7. -1 Calculate (-24 - (4 + -51)) + -7. 16 What is -48 + 25 - (-9 + -31)? 17 What is 13 + -10 - (-4 + -2)? 9 What is 9 + 4 + -22 + 8 + -6 + 41? 34 Calculate (-15 - -17) + (7 - -2) + -9. 2 Calculate -4 - (-13 + 6 + 7). -4 What is -8 + (20 - 3) + 18 + -17? 10 Evaluate (0 - (1 + 10)) + -4 - (1 + -4). -12 Evaluate -864 + 855 + -22 + 1. -30 Calculate -3 - (-8 + 12 - (-4 + 7 + 1)). -3 What is the value of -116 + 108 - (2 + -10 + -4 + 3)? 1 1 - (-22 - (-6 + -24)) -7 What is 6 + 5 + 2 + -1 + -75 + 67? 4 Calculate -4 - (-9 + 24 - 3) - (-5 - 1). -10 What is the value of (7 - (21 + -9)) + -2 + -4? -11 Calculate -16 + -18 + 22 - (2 + -29). 15 What is -32 + 4 + 10 + 10? -8 (17 - -12) + -23 + -2 + -3 1 Evaluate -20 + (-12 + 37 - -6). 11 What is the value of -7 + 17 - (19 - (-12 + -1))? -22 Evaluate 16 + 2 + (21 - (1 - -11)). 27 What is -2 + -3 + -44 + 29 + 8 + 0? -12 What is the value of 2 + -44 - (-433 - -406)? -15 What is -32 + 15 + -6 + 15? -8 Calculate -26 - (3 - 21) - (-2 - -3). -9 What is 7 - (-3 + 26 + -13)? -3 2 + 0 - (4 + (4 - -4) + 0) -10 What is (-11 - -4) + (36 - 29)? 0 Calculate 7 + -4 + 6 + -4 + 11. 16 Evaluate 2 + -8 + 29 + -17 + -3 + 2. 5 What is ((-10 - 4) + -7 - -1) + 4? -16 98 + -81 - ((-3 - 1) + -1 + 3) 19 What is -11 + 8 + (45 - 19)? 23 Evaluate -12 - ((3 - -6) + -11) - -9. -1 Calculate -10 + (25 - 9 - 6) + 8. 8 What is the value of 1 + 16 + 0 + 0 - (496 + -494)? 15 (-3 - 6) + 0 + 17 8 Calculate 1 + 5 + (21 - (31 - -16)). -20 Calculate -5 + 22 - (22 - 7). 2 3 + -15 + -15 + 20 -7 What is -8 - (-7 - -4) - (-1 + 1 + -7)? 2 What is 3 + -2 + 1 + (20 - (-2 + 27))? -3 Evaluate ((5 - (-3 + 7)) + 6 - 1) + 8. 14 What is (-442 - -476) + (1 - 21)? 14 -37 - 2 - (306 + -323) -22 Calculate (4 + -17 - 3) + 11 + -24. -29 Evaluate -31 + (-22 - -7) + 45. -1 15 - (0 + 7 - 5) - 4 9 Evaluate 10 + -10 + (-12 - (0 + -11)). -1 (6 - 12 - 9) + 2 + 8 -5 Calculate -6 - -13 - 29 - (-3 + (-10 - -4)). -13 What is the value of 4 + 1 + (-24 - (-10 + -12))? 3 Evaluate (-15 - -1) + 9 + 21 + -15. 1 What is -5 + (-3 - 2) + (1 - -4) - -4? -1 Evaluate (5 - -1) + (-4 - 0) - (-15 + 22). -5 (-31 - (-57 + 26)) + (1 + -2 - 7) -8 What is 5 - (-8 + 11 - 1 - (1 - -7))? 11 What is the value of -33 + 51 - (0 - -11)? 7 Evaluate -2 + -27 + 1 - (-105 + 96). -19 What is 14 + (-6 + -16 - 2)? -10 Evaluate -23 + (20 - (-2 - 7)). 6 Calculate -15 - (4 + (-1 + 1 - (8 + -3))). -14 Evaluate -72 + 30 + 52 + (1 - 0). 11 Evaluate (0 - -1) + (-156 - -146 - (1 + 11)). -21 1 + -1 + (-19 + 6 - (-9 + -3)) -1 What is (2 - 7 - -4) + -2 - 8? -11 -24 + -9 + -7 + 25 -15 What is (14 - 0) + 26 + (-9 - 25)? 6 Evaluate -8 + 5 + 3 - -2 - (-5 + 9). -2 What is the value of 2 + (19 - 62 - -30)? -11 What is the value of 198 + -189 - (4 - 1 - -16)? -10 Evaluate 50 - (29 - 22 - -19). 24 Evaluate -3 + (4 - 27) + (7 - 17) + 11. -25 Evaluate 4 + (-3 - (-3 + 0 - 5 - -1)). 8 Calculate -24 - -56 - (-7 + (-9 - -21)). 27 (42 - 44) + 39 - (-1 + 12) 26 What is -13 + -1 + (-193 - -218)? 11 Calculate (-3 - (-3 + 15)) + 6 + 0 + -6. -15 What is the value of 0 + -5 - -2 - (3 - 4)? -2 Calculate -4 + 3 + -5 + 22. 16 What is the value of -1 + 4 - (12 + (-27 - 12))? 30 -7 + -2 - (-2 + 1) - (23 - 52) 21 (2 - -8) + (354 - 383) -19 What is the value of -6 + -52 + 42 + 51? 35 Evaluate -2 + -17 - (196 + -187). -28 Evaluate 0 + (14 - (20 + -20)). 14 Evaluate -1 + 2 + -11 + 16 - 3. 3 What is the value of -1225 + 1208 + (-4 - 1)? -22 What is the value of -6 + (4 - -13) + (14 - 12)? 13 What is the value of 231 + -242 - (1 - 13) - (-3 + 18)? -14 What is the value of (-69 - -87) + 1 + -3? 16 What is -29 - (8 + -8 - 50)? 21 -15 - (-6 + -15 + -6 + 15) -3 Calculate (2 - 0) + -28 - -16. -10 Evaluate -2 - ((16 + -7 - 13) + 2). 0 -11 - 3 - (50 + -66) 2 Evaluate 14 + -5 + 27 - (13 - -1). 22 28 - (9 + 7) - 14 -2 Evaluate 9 + (-22 - ((11 - -2) + -13)). -13 What is the value of -10 + (-4 - -11 - -2) + -6 - -1? -6 What is 22 - (12 + 10) - 12? -12 Evaluate 11 - (-9 - -40) - (-5 + -4). -11 Evaluate (-1 - (5 + -5)) + 2 + (4 - 6). -1 Calculate 5 + (13 - (-9 - -3)). 24 What is 3 + -4 + 0 - 2 - (4 + -8)? 1 What is -30 + 50 + (4 - 2 - (1 - -1))? 20 ((0 - 2) + 2 - (21 - 0)) + 7 -14 19 - (5 - 0 - 2 - -5) 11 What is -15 + (-8 - -13) + 5 - (1 - -6)? -12 Calculate 2 - ((-396 - -380) + (0 - 1) + 2). 17 What is 6 + (-8 - 0) + -10 + 17 + -1? 4 Evaluate (2 - -1) + (2 - 0). 5 Evaluate (24 + 4 - 7) + 8 + 3. 32 -2 + 24 + (-3 - 9) 10 7 + -15 + (-10 + 7 - (-1 + -6)) -4 Calculate 4 - ((-3 - -6 - 4) + 5). 0 Calculate -252 - -260 - (1 - 0). 7 What is the value of 6 + (-10 - -19) + -5 + 4? 14 Evaluate -231 - -181 - (0 + -12) - -6. -32 What is 20 + -8 + -8 + -6? -2 What is -4 - 13 - (-11 + -7)? 1 Calculate (-9 - 3) + (20 - -13) + 2. 23 Evaluate -52 + -1 + 371 + -342. -24 9 + (2 - 14) + (2 - -3 - 14) -12 What is 4 - 6 - (-8 - (-18 + -5))? -17 Evaluate -2 + 7 + -12 + 1 + (4 - -15). 13 Evaluate (1 + -28 - (25 + -13 + -16)) + 0. -23 Calculate 16 + (-23 - (7 + (-5 - 0))). -9 (29 - 18 - 19) + (6 - 1) -3 Calculate 1 - 11 - (-9 - 0). -1 Calculate (0 - (7 + -2)) + 2 + 10. 7 What is the value of 0 + -17 + 10 - (-8 + 10)? -9 Calculate 1 + (26 - 8) - 17. 2 Calculate (1 - 23) + (14 - 5 - (-1 + 15)). -27 Calculate 1 - -6 - (-6 - -1 - -4) - 3. 5 Calculate 1 - (-6 - (-8 + 0 - (-19 + 14))). 4 Calculate -24 + 8 - (-42 + 2 + 6). 18 What is 11 + 12 + 15 + -26? 12 -19 + 8 + 0 - -6 -5 What is (20 - 19) + (3 + (3 - 3) - 15)? -11 Calculate (1 - 7) + (-9 + 7 + -3 - -19). 8 Calculate (9 - (-5 - -20)) + 6. 0 Evaluate 2 + (4 - 8) - (3 + -9). 4 What is 0 - (-2 + -3) - (-26 + -19 + 47)? 3 Evaluate 26 + (-32 + 19 - 10). 3 What is the value of 4 + -1 - ((11 - 7) + 6 - -7)? -14 What is (-8 - -4) + 1 - -3 - (0 + -10)? 10 Calculate -20 - (-22 + -1) - (-6 + (0 - -1)). 8 (-20 - -17) + (-1 - (0 - 0)) + 20 16 What is 7 + 7 + 4 + (-11 - 19)? -12 What is (24 - 43) + (7 - 4)? -16 What is 5
{ "pile_set_name": "DM Mathematics" }
teger? 4 What is 409358 to the power of 1/8, to the nearest integer? 5 What is 134997 to the power of 1/6, to the nearest integer? 7 What is 2044538 to the power of 1/7, to the nearest integer? 8 What is 13912205 to the power of 1/3, to the nearest integer? 241 What is the square root of 88228 to the nearest integer? 297 What is the third root of 336562 to the nearest integer? 70 What is 20074161 to the power of 1/2, to the nearest integer? 4480 What is 340048 to the power of 1/2, to the nearest integer? 583 What is 534059 to the power of 1/2, to the nearest integer? 731 What is the third root of 246827 to the nearest integer? 63 What is 1975599 to the power of 1/2, to the nearest integer? 1406 What is the square root of 16711630 to the nearest integer? 4088 What is 368845 to the power of 1/6, to the nearest integer? 8 What is 170366 to the power of 1/3, to the nearest integer? 55 What is the square root of 5612132 to the nearest integer? 2369 What is the fourth root of 623448 to the nearest integer? 28 What is the fourth root of 1941030 to the nearest integer? 37 What is the square root of 298926 to the nearest integer? 547 What is the cube root of 125294 to the nearest integer? 50 What is 212718 to the power of 1/6, to the nearest integer? 8 What is 9072309 to the power of 1/4, to the nearest integer? 55 What is 741628 to the power of 1/9, to the nearest integer? 4 What is 340886 to the power of 1/2, to the nearest integer? 584 What is the seventh root of 832155 to the nearest integer? 7 What is the third root of 6543869 to the nearest integer? 187 What is the square root of 189682 to the nearest integer? 436 What is 6987667 to the power of 1/2, to the nearest integer? 2643 What is 890399 to the power of 1/3, to the nearest integer? 96 What is the fifth root of 6172831 to the nearest integer? 23 What is the cube root of 12310506 to the nearest integer? 231 What is the sixth root of 2174267 to the nearest integer? 11 What is the fifth root of 785796 to the nearest integer? 15 What is 5079942 to the power of 1/5, to the nearest integer? 22 What is the square root of 1892573 to the nearest integer? 1376 What is the third root of 3892803 to the nearest integer? 157 What is the seventh root of 62318 to the nearest integer? 5 What is the fourth root of 20094404 to the nearest integer? 67 What is the cube root of 1758873 to the nearest integer? 121 What is 2422878 to the power of 1/5, to the nearest integer? 19 What is the square root of 791606 to the nearest integer? 890 What is 1099446 to the power of 1/2, to the nearest integer? 1049 What is the ninth root of 17779 to the nearest integer? 3 What is 1131827 to the power of 1/8, to the nearest integer? 6 What is the third root of 115608 to the nearest integer? 49 What is 5863232 to the power of 1/6, to the nearest integer? 13 What is 625707 to the power of 1/3, to the nearest integer? 86 What is the cube root of 1952401 to the nearest integer? 125 What is 74571 to the power of 1/2, to the nearest integer? 273 What is the third root of 39725 to the nearest integer? 34 What is the ninth root of 752317 to the nearest integer? 4 What is the cube root of 2811167 to the nearest integer? 141 What is 532194 to the power of 1/3, to the nearest integer? 81 What is the third root of 8797926 to the nearest integer? 206 What is the cube root of 23998067 to the nearest integer? 288 What is 759401 to the power of 1/3, to the nearest integer? 91 What is the square root of 17974381 to the nearest integer? 4240 What is the square root of 951257 to the nearest integer? 975 What is the square root of 1483483 to the nearest integer? 1218 What is the eighth root of 140265 to the nearest integer? 4 What is the square root of 9469848 to the nearest integer? 3077 What is 177591 to the power of 1/10, to the nearest integer? 3 What is 17246608 to the power of 1/2, to the nearest integer? 4153 What is 1283542 to the power of 1/6, to the nearest integer? 10 What is 5985700 to the power of 1/5, to the nearest integer? 23 What is 310334 to the power of 1/3, to the nearest integer? 68 What is the third root of 4397749 to the nearest integer? 164 What is 26256876 to the power of 1/8, to the nearest integer? 8 What is the eighth root of 157115 to the nearest integer? 4 What is the square root of 763191 to the nearest integer? 874 What is 278193 to the power of 1/2, to the nearest integer? 527 What is 187430 to the power of 1/2, to the nearest integer? 433 What is 1181 to the power of 1/5, to the nearest integer? 4 What is 32788849 to the power of 1/8, to the nearest integer? 9 What is the cube root of 15683962 to the nearest integer? 250 What is the third root of 12206470 to the nearest integer? 230 What is the third root of 17203327 to the nearest integer? 258 What is 1540049 to the power of 1/2, to the nearest integer? 1241 What is the cube root of 5826999 to the nearest integer? 180 What is 123151 to the power of 1/2, to the nearest integer? 351 What is 2814138 to the power of 1/2, to the nearest integer? 1678 What is 1279415 to the power of 1/4, to the nearest integer? 34 What is 5909481 to the power of 1/2, to the nearest integer? 2431 What is 4881415 to the power of 1/2, to the nearest integer? 2209 What is the tenth root of 219997 to the nearest integer? 3 What is 9297885 to the power of 1/7, to the nearest integer? 10 What is 13864 to the power of 1/2, to the nearest integer? 118 What is the eighth root of 12820864 to the nearest integer? 8 What is the third root of 1912241 to the nearest integer? 124 What is the third root of 1870469 to the nearest integer? 123 What is the square root of 55769 to the nearest integer? 236 What is 764045 to the power of 1/2, to the nearest integer? 874 What is 4886777 to the power of 1/3, to the nearest integer? 170 What is the sixth root of 884112 to the nearest integer? 10 What is 150497 to the power of 1/3, to the nearest integer? 53 What is the square root of 2861086 to the nearest integer? 1691 What is 191158 to the power of 1/7, to the nearest integer? 6 What is 415642 to the power of 1/3, to the nearest integer? 75 What is 791885 to the power of 1/2, to the nearest integer? 890 What is 3989471 to the power of 1/6, to the nearest integer? 13 What is 1628643 to the power of 1/7, to the nearest integer? 8 What is the ninth root of 9402284 to the nearest integer? 6 What is 185154 to the power of 1/3, to the nearest integer? 57 What is the ninth root of 501658 to the nearest integer? 4 What is the sixth root of 922561 to the nearest integer? 10 What is 11955764 to the power of 1/2, to the nearest integer? 3458 What is the cube root of 68675 to the nearest integer? 41 What is 3256899 to the power of 1/8, to the nearest integer? 7 What is 104982 to the power of 1/7, to the nearest integer? 5 What is 248940 to the power of 1/5, to the nearest integer? 12 What is 7593990 to the power of 1/2, to the nearest integer? 2756 What is the cube root of 260155 to the nearest integer? 64 What is the ninth root of 466030 to the nearest integer? 4 What is the third root of 19117362 to the nearest integer? 267 What is the third root of 1141718 to the nearest integer? 105 What is 5881274 to the power of 1/2, to the nearest integer? 2425 What is 238428 to the power of 1/2, to the nearest integer? 488 What is 352210 to the power of 1/2, to the nearest integer? 593 What is the fifth root of 17296587 to the nearest integer? 28 What is the ninth root of 12033240 to the nearest integer? 6 What is 639541 to the power of 1/3, to the nearest integer? 86 What is 14741453 to the power of 1/5, to the nearest integer? 27 What is 290150 to the power of 1/2, to the nearest integer? 539 What is 5149789 to the power of 1/6, to the nearest integer? 13 What is 1391059 to the power of 1/4, to the nearest integer? 34 What is the cube root of 1265945 to the nearest integer? 108 What is 615294 to the power of 1/8, to the nearest integer? 5 What is the fifth root of 5718237 to the nearest integer? 22 What is 1488879 to the power of 1/2, to the nearest integer? 1220 What is the square root of 3155698 to the nearest integer? 1776 What is 336914 to the power of 1/2, to the nearest integer? 580 What is the cube root of 5001447 t
{ "pile_set_name": "DM Mathematics" }
4*c = -0*c, -3*r = -y*c + 4 for r. 2 Let j = 283 - 279. Solve 4*l = 2*t + 14, j*l - l - 2*t = 12 for l. 2 Let j = 67 + -31. Let i = j + -30. Solve i = -m + 2*m - 4*f, 4*m = -5*f - 18 for m. -2 Suppose 14*z = -3*q + 10*z, 0 = 3*q + z. Let t be 1 - 1 - q*(-1)/6. Solve 5*o = 2*o + 5*n + 15, t = o - 3*n - 9 for o. 0 Let u(h) = h**2 + 11*h - 9. Let b be u(-12). Solve 5*y = -10, 0*p - 4*p = b*y - 6 for p. 3 Let a(s) = s**3 + 21*s**2 + 7*s + 147. Let d be a(-21). Solve -3*v + 14*t - 13*t + 9 = d, -2*t - 2 = 2*v for v. 2 Let d be 56/5 + (-8)/400*10. Solve -2*h + 5*f + d - 18 = 0, 5*h = -4*f - 1 for h. -1 Suppose 107 = 26*z - 23. Solve -2*s = 2*j - 6, -3*s = -j - z*s + 7 for j. -1 Let b(r) = 2*r - 14. Let v be b(9). Suppose -22 = v*s - 38. Solve 4*g + s = -4*n, 2*g + n - 5 = -2 for g. 4 Let q be (2/4)/(9/198). Suppose i + 4*d - q = 0, 4*i + 2*d - d - 119 = 0. Solve -5*v = -3*c - i, -2*c = -v - 3*v + 24 for v. 5 Let j be 7*4/42*6. Suppose -10 = -5*i + 3*t, j*i - t = 3*t + 8. Solve 5*h = 3*d - 3, -i*d = d - 2*h + 6 for d. -4 Let f = -311 + 313. Solve f*k + 2*k = -3*d - 15, -5 = -2*k + d for k. 0 Let j(h) = h**2 - 15*h - 50. Let o be j(-3). Solve -5*a = 3*x + 16, o*a + 2 = 5*x + 4 for x. -2 Suppose c + 1 = 2*o, 4*o - 35 = -31. Solve 3*j + 19 = -4*x, -5*j - 29 + c = 3*x for j. -5 Let h(r) = -r**3 - 3*r**2 - 4*r - 4. Let d be h(-3). Suppose g = -z + 4, 2*g = 4*z - 0*g - 28. Solve 0 = 5*f - 4*c + d, 5*f - c - 10 = -z*c for f. 0 Let v be 3 - -1*((-2)/(-1))/(-2). Let f be -1*v + -16 + 24. Solve 0 = 2*k - 6*k - 12, 3*g - 2*k = f for g. 0 Let u(r) = r**3 - 14*r**2 - 12*r + 172. Let i be u(14). Solve 0 = -i*n - 2*p + 7*p - 37, p = 3*n + 14 for n. -3 Suppose -56*q = -48*q - 40. Solve a + q*c = -23, -c = a + 3*c + 18 for a. 2 Let k be ((-12)/(-10))/(6 + 1188/(-200)). Solve -6*j + 5*j - 1 = -f, 4*j = -4*f - k for f. -2 Let z be -1 - (-5 + 3)/2. Solve 5*s - 2*m = -6, 0 = s - z*s + 5*m - 15 for s. 0 Suppose 14 = 6*j + 2. Suppose -2*d + 2*q = -2, -d + q = -j*q + 9. Solve -6 = 5*g + i, -5*i + 4 = 5*g - d for g. -2 Let x = -726 - -742. Solve -v + 2*k = 10, 3*k = -4*v + 6*v + x for v. -2 Suppose -5*n + 3*n + 2*o = 0, 4*n = o. Suppose n = -3*v - 5 + 11. Solve v*k + 3*z + 11 = 6*k, -2*k = -3*z - 1 for k. 5 Let h(u) = 15*u + 524. Let c be h(-34). Solve -4*d = 5*p - c, 0 = -d + p + p - 3 for d. 1 Let z(o) = 4*o - 2. Let b be z(-2). Let r be -4 + ((4 - 5) + 1)/(-4). Let w be (-45)/b - 6/r. Solve 5*l - 5 = 0, -4*t + w*l = 2*l - 8 for t. 3 Suppose -v = -2*n + 8, 2 = n + 4*v - 2. Suppose -3 = 3*r - 2*i, -n*r + 0*i - 2*i + 10 = 0. Solve -5*y = -3*a - 10, 4*a + r = -5*y + 11 for a. 0 Let m(k) = 12*k + 79. Let x be m(-6). Solve 3*l + 4*o = -15, 18 = -3*l - x*o + 2*o for l. -1 Suppose l = -l + 4. Let g(a) = 7*a + 3. Let t be g(l). Solve -5*q - 4*p + 0*p = t, q + 4 = -p for q. -1 Let t(p) = 4*p**3 + 5*p**2 - 4*p. Let h be t(1). Solve -4*k + 12 = -3*m, h*m - k - 15 = -6*k for m. 0 Let x = 140 + -136. Solve 3*f + 18 = x*g + f, 2*f + 14 = 2*g for g. 2 Suppose 237 = -7*d - 197. Let p = 67 + d. Solve 0 = 4*y + 6*c - 2*c + 36, c + p = 0 for y. -4 Let w be ((9 - 31) + 10)*1/(-3). Solve -4*c - 2*f = -f - w, 2*f + 3 = 3*c for c. 1 Let i be ((-72)/20)/(1/(-5)). Suppose -14*b = -i*b. Let j(x) = x + 38. Let w be j(b). Solve 5*l + 4*c = -37, -3*c + 14 = 3*l + w for l. -5 Let x(o) = o + 16. Let g be x(-7). Suppose 4*u = g + 3. Solve -4*w + 2 = 4*l + 10, -u*l - 12 = 0 for w. 2 Suppose 0*j = 2*j + 54. Let b be ((-9)/j)/(2/222). Solve 2*x + b = 3*s - 3*x, 5*s - x - 25 = 0 for s. 4 Let p(c) = -c**2 - 3*c + 33. Let i be p(4). Solve -r - i*b - 3 = 10, -r - 4*b - 10 = 0 for r. 2 Let z = 1690 + -1680. Solve -2 = -2*n + 3*q + z, 2*q = -4*n + 8 for n. 3 Let p be (-2)/((-4)/(-214)) + -1. Let x be ((-24)/p - (-4)/(-18)) + 3. Solve -14 = 3*z + 2*z - x*g, z + 5*g = 14 for z. -1 Suppose 3*b + 240 = -2*u, -3*b = 2*b - 2*u + 384. Let s = 80 + b. Solve -21 = 5*y - 6, -j + s*y + 6 = 0 for j. 0 Suppose 2*t - 15 = 5*b, 0*b - 18 = -3*t + 3*b. Suppose t = -4*p - 3. Let a be p + (-2 - (-8 + 0)). Solve 3*l - a*z - 26 = 0, -z + 5*z = -20 for l. 2 Let h = 1266 - 1226. Solve z - 13*w - 12 = -9*w, -5*w = 5*z + h for z. -4 Suppose -5*j - r + 62 = -4*r, 4*j + 5*r = 20. Let t be -20*(-2 - (2 + -3)). Solve j = -3*g - p + 3, 0 = -4*g + 4*p - t for g. -3 Let t = 25 - 13. Let f = 15 - t. Solve -f*g = -3*s + 9, 4*g - 3*g + 5 = 0 for s. -2 Suppose -4*d + o = -63 - 13, -3*d + 42 = 3*o. Suppose h - 4*w - d = 0, 0 = 2*h - 0*w + w. Solve 5*c = h*t - 5*t + 2, 3*t - 3*c = -6 for t. -1 Let u = -83 + 45. Let w = u + 16. Let s = -11 - w. Solve 3*v = g + s, 0 = 3*v - 5*v + 8 for g. 1 Suppose -2490*i + 42 = -2476*i. Solve 3*d - i = -3*x, -7 = 5*x + 4*d - 12 for x. 1 Let n = -115 - -193. Suppose -4*h - 2*f + 7*f = -69, -5*h - 2*f + n = 0. Solve 3*z + 10 - 2 = l, 3*l - h = 5*z for l. 2 Suppose -j + 5*g = 4, 0 = -5*j + 5*g + 14 + 26. Solve -2*h - 2*o = j - 1, 0 = -2*h + o - 4 for h. -3 Suppose 12 = d - 2*d. Let g be 8*3*(-3)/d. Let t = 471 + -469. Solve -2*y = -k + 3*y - g, 3*k = -t*y - 1 for k. -1 Let i = 1389 + -1384. Solve -i*o - 7*v = -8*v - 11, -7 = -2*o + 3*v for o. 2 Let s = 374 - 370. Solve 2*p - 4*a + 8 + 0 = 0, 0 = -s*p + 5*a - 10 for p. 0 Let f be 1/11 + 24/198*123. Let u = 12 - 7. Solve 4*o + u*v = 47 - f, -2*o + 2 = -v for o. 3 Let q(w) = 1 - w**3 - 11*w - 7*w**2 - 5 - 1 + 0. Let r be q(-5). Solve -2*d - 4*y - y - 13 = r, -2*d + y + 5 = 0 for d. 1 Suppose 25 = 7*j - 2*j, -j = 3*s - 20. Solve 8 = s*t + m, 2*t + 5*m + 3 = -3 for t. 2 Let k = 176 + -171. Solve -6*c + 30 = -c + k*i, 4*c = 4*i - 8 for c. 2 Suppose -24 + 44 = 4*t. Suppose 7 - 27 = -5*o - a, 25 = t*a. Solve p = -0*p + 5, -3*b - 27 = -o*p for b. -4 Let w be ((-12)/9)/(2/(-6)). Let l = -1176 + 1201. Solve -2*j - 11 = q - w*j, l = 5*j for q. -1 Let l(a) = a**2 + 2*a + 3. Let d be l(-2). Let q = -11861 + 11865. Solve -d*u = -3*c + 15, 2*u + q*c = -c - 3 for u. -4 Let g = 13 + -11. Let p be -8*3/(-12)*g. Let y = -2 - -2. Solve 2*t + 3*b + 4 = -p, -b = y for t. -4 Suppose k = 4*w - 2*k - 8, 10 = 5*w - 4*k. Suppose -3*n + 15 = 2*b, 5*b + 15 = -w*n + 5*n. Solve b = 3*m + 4*q + 21, 5*q + 3 = 4*m - 0 for m. -3 Suppose -3*j + 3*h - 43 + 4 = 0, -4*j = 2*h + 64. Let n = -10 - j. Suppose 3*u - u - v = 4, 3*u + 7 = -n*v. Solve 0 = 2*g - 2*c, g - c = -g - u for g. -1 Let j(b) = -6*b + 2. Let d be j(0). Solve -3 = z + 2*v, -2*v - 26 = -4*z + d for z. 5 Let j(w) = w**3 - 14*w**2 - 14*w - 5. Let t be j(15). Solve 5*k + m = 4, -4*k + t = -4*m + 2 for k. 1 Suppose 3*i + 22 - 24 = -2*l, 2*l = 4*i - 12. Solve 0 = -5*v - 25, -i*v = -j - 4*j + 10 for j. 0 Let t(k) = -3*k**2 + 27*k - 21. Let r be t(8). Solve -5*b + r = z + 2, 5*z + b + 19 = 0 for z. -4 Let p(g) = -g**3 + 5 + 9*g + 6*g**2 + 4 + 7*g. Let t be p(8). Solve 5*z + 4*d + 12 = 0, -4*z - 2*d - 3 = t for z. -4 Let t(f) = -f**3 - 17*f**2 - 12*f + 66. Let q be t(-16). Solve -5*c - q*d = 15, 3*c + 4 = 5*d - 5 for c. -3 Let r = -24 + 28. Let u = 45 - 45. Solve -l + r*s + s + 23 = u, -5*l = 3*s - 3 for l. 3 Let x(d) = -2*d**3 - 4*d**2 - 23*d - 41. Let t be x(-2). Solve -4*y = -8 - 4, r + t = 2*y for r. 1 Let m be (13/(-39))/(2/(-24)). Suppose 0 = -3*l + 8 + m. Solve z + 2*z - l*j - 11 = 0, -8 = -4*z + 4*j for z. -3 Let y(h) = 5*h. Let j be y(4). Suppose s + j = 45. Suppose 2 = n - 1. Solve -n*i + s = -5*o, -2*o = -i - 3*i + 10 for i. 0 Suppose -3*d + 20 = 5*m + 2*d, -4*d - 5 = -3*m. Solve 0 = -4*j - 2*k, -m*k = -2*k + 2 for j. 1 Suppose -52 = -25*d + 12*d. Solve 5*o - 3*u - 4 = -0*u, -4*o - d*u = -16 for o. 2 Suppose 0 = 4*s - 36 - 4. Let l = 11 - 44. Let n = l + 35. Solve 5*a + 5*x = -s, -2*x - 5 = 5*a + n for a. -1 Suppose 2*j = -2*q + 52, 4*q - 146 = 4*j - 50. Suppose 5*r = -4*w + 8, -5*r + q = -3*w - 4. Solve p = r*p + 9, 0 = -2*v - p - 13 for v. -5 Suppose -1 + 10 = 9*y. Let m be (-1)/(y/(-8)) - 4. Solve 5*d - m = -f - 1, d + 7 = -4*f for d. 1 Suppose 59*x - 98*x + 78 = 0. Solve 4 = -2*m - 4*t - x, -3*m - 9 = 5*t for m. -3 Let k = 912 + -910. Let x be (-532)/(-20) - 3/5. Solve x = 5*m + k*p, 3*m + 13 = 4*m + 3*p for m. 4 Let w(c) = 3*c + 26. Let k be w(-7). Solve 3*j + z = -3, -11*j - k*z = -7*j - 7 for j. -2 Let a = 13 + -2. Suppose 0 = 3*b + 3 + 18. Let z = b + a. Solve -3*l + 4*f + 9 = 0, -l - z*f = -5*l + 8 for l. -1 Let n(g) = -g**2 +
{ "pile_set_name": "DM Mathematics" }
2/281 Evaluate ((-31017)/(-3798))/(98/6). 1/2 What is the value of 209*(-38)/(-6688)*-112? -133 Evaluate (-40)/12*-6 - (-47233)/(-2219). -9/7 Evaluate 20*(33/(-12) - (-885)/1180 - 1*-1). -20 What is the value of -1*52/130 + 11/((-495)/(-6))? -4/15 (-1 - (2 - 2)) + 7920/(-3927) + (-57)/(-19) -2/119 Evaluate 4012/(-7021) + ((-101)/154 - ((-5)/2 - -1)). 3/11 What is (((-1)/75)/((-531)/(-76995)))/(1/5)? -29/3 Calculate 442/28 + 22503/546 + -41. 16 Calculate ((-5)/15*552/1196)/(15/65). -2/3 What is the value of ((-8148)/(-120) + -68 - (-213)/(-20))/((-1)/(-4))? -43 What is (-46)/((-11040)/6570) - (27 - 10 - -9)? 11/8 Calculate (23 + -33)*8*(-2)/56. 20/7 Evaluate 192/624*3/2 - (10 + 436/(-13)). 24 What is the value of 0 - (28/(-252)*21/7 + 75/171)? -2/19 What is ((-56)/(-49))/(17 + -10 + 1)*(-5)/(-35)? 1/49 Evaluate (-1536)/154 - (69590/146139)/((-2)/42). 2/77 Calculate (-108 - 24794/(-230)) + (-28)/110 - 5. -60/11 (13/(260/(-1035)) + 18)*(-16)/12 45 Evaluate 1 - ((-39)/15 + 3 - 80543/(-139855)). 2/83 Calculate (-2)/((-4 - 0)/((270/(-105))/((-2)/14))). 9 Calculate 2*(254/16)/1 - (-442)/1768. 32 What is ((1 - 59/9) + -4)*(-12 + (-465)/(-62))? 43 Calculate 147/6006*-13*-22. 7 (-10)/(-235)*129/(-17028)*66 -1/47 Calculate (-10 - (-1512)/147)/(34/(-14)) - 1209/(-17). 71 Calculate (5 - -11) + (1015/58)/(9/(-18)). -19 What is the value of ((-204)/408)/(15/(-114))? 19/5 Evaluate 32/120 - ((-732)/(-90) - 8). 2/15 What is the value of (60/(-8745))/(11873/(-341) - -35)? -2/53 ((-2705)/7033)/((-6)/(-26)) -5/3 Calculate (8/(-84))/((-3408)/(-145053)) + 4. -3/56 -75 + 0 + (17848/460 + -38)/((-4)/(-45)) -66 What is (-21)/(-7) + 2 + (-175)/28? -5/4 36 - (-5254)/(-148) - (2/(-4)*117 + 2) 57 What is the value of (5/(-7))/((1157/(-5785))/(14/65))? 10/13 What is the value of -31 + (-48)/(-528) + 139958/4543? -6/59 Calculate (4/10)/(26/10) + (-184)/13 + -1. -15 46 + ((-315)/28 + 6)/(((-1353)/88)/(-41)) 32 (-24)/(-21)*(13612/(-1312) - (-14 - -2)) 13/7 What is the value of 1 - 675/5 - (-17 + 46 - 42)? -121 What is (-12 - 0) + 54/3? 6 What is the value of 13 - (1/(-5))/(-18*15/29700)? -9 Calculate 17/1*((-14)/(-6))/((-2240)/960). -17 (-4 - 2)/((-76)/(-266)) -21 Evaluate -21 + 12 + -2 + (24/(-7))/((-2)/(-21)). -47 What is (2 - 3)*(-7 - -6) + (12 - (-6 - -2))? 17 Evaluate (7 - 43) + 833 + -767. 30 Evaluate ((-32283)/(-204) + -147)*1/((-2)/(-8)). 45 Calculate (-1 + (-4)/5)/(-39 + 68320/1750). -45 Evaluate 50955/38700 + (-5)/(-60). 7/5 (14 - 22/8*6)*288/(-20) 36 Evaluate (450/75*(-4)/1302)/(22/(-77)). 2/31 What is (-665)/75 + 9 - 42/(-60)*2180/30? 51 Evaluate 36 + -28 - ((-4888)/(-32))/13. -15/4 Evaluate (-255)/(-6435)*21 - 41/(-451). 12/13 Evaluate ((3 - 0) + -3)/1 - (-25 - (-66 - 42)). -83 What is 6/(-19)*2223/2574? -3/11 (-34 + 35)/(9/(-42))*528/308 -8 What is (18330/1175 - (15 - 1))*15? 24 (2/22 + 2527/(-209))/(-29 + 25) 3 Evaluate 214/12 + (-40)/(-80)*((-264)/6 - -18). 29/6 25/50*(7 - ((-51)/54 - -8)) -1/36 Calculate (-1339364)/245590 + (-196)/(-35). 6/41 Calculate (-590 - -588)/((-2)/(-11)). -11 What is 93338/4200 + -22 + (-96)/400? -1/60 Calculate (-54)/(-2) + ((-222)/296)/(27/(-72)). 29 Evaluate (-2708)/36558 + (1 - 13134/(-162)). 82 3690/820*(14/7 - (1 + -1)) 9 Evaluate 8 + -33 - 2*(-1172)/88. 18/11 What is 810/12*(48/280 + 0) + -15? -24/7 Calculate 36/(-8)*(42/25704*318 + 2/(-4)). -3/34 What is the value of (-390)/21*21/(-525)*-105? -78 What is the value of (-45)/(70875/150) + (-1474)/(-42)? 35 Evaluate (-48)/(-420)*(-1470)/(-240). 7/10 (6 - -2 - 272)*((-10)/75)/((-8)/20) -88 Evaluate (425/20*-2)/((-4)/54 - 5983/(-10422)). -85 What is the value of (-32 + (-4284)/(-147))*(-21)/2? 30 Evaluate (-62 + -1 - (-6)/(-2))/(-3*74/111). 33 Calculate ((-14)/(-6))/(((-649376)/(-47499))/416). 71 Evaluate 10/(-4)*62*2436/67425. -28/5 What is 15*(-9)/567*19305/3250 - (-30)/42? -7/10 What is the value of 1904/(-910) - (-4)/3*1575/875? 4/13 1 - (798/90 + -9 - (-1757)/(-210)) 19/2 Evaluate (-165)/9*(-57)/2850*15. 11/2 Calculate (-266)/(-114)*(-2775)/(-259). 25 What is the value of (-3 + -46)/(62/4 + 615/(-19 + -22))? -98 Calculate ((-3540)/295)/(60/155). -31 (-21)/54*((-15198)/238 + 61) 10/9 Evaluate 6/21*(106358/(-1065))/107. -4/15 What is the value of (57/63)/(38855/(-12270))? -2/7 Evaluate ((-28)/20 + 3)*27965/(-658) - 5. -73 Evaluate 16302/12844 + (-30)/39. 1/2 What is the value of 4/60 - (((-9100)/75)/(30/21) - 1)? 86 What is the value of (-204)/3 + 219000/3212? 2/11 What is the value of 5/(-10)*2072/777*(-201)/(-16)*-8? 134 What is -58*(3960/79344)/(-11)? 5/19 Evaluate -12 + (-25 - ((-7378)/221 - 5)). 18/13 Evaluate ((-48)/(-184))/(744/5704). 2 What is the value of -25*116/(-290) + (-87)/9*(-1 - -2)? 1/3 Calculate ((-4412)/368 - -12)/((-62)/496). -2/23 1704/(-30246) - (-1165)/1775 3/5 Calculate 1244/(-36) - 2176/4896. -35 Evaluate 11 - (21150/1645 + -1 + -4). 22/7 What is 12 - ((6/(-10))/(-1) - 112373/5455)? 32 Evaluate 12870/(-1144)*(7 - (-102)/(-10)). 36 What is the value of (-1 - 0) + (77532/355)/78? 9/5 Calculate ((-835)/3507 + 3/(-63))/(75/(-21)). 2/25 Evaluate ((-60)/(-147))/((-21400)/14980). -2/7 Evaluate (42 - (-475723)/(-11275)) + (-2)/25. -3/11 Evaluate (((-162)/65)/9)/((-981)/(-1635)). -6/13 Evaluate (182/(-117) + 528/27)*(-10)/3. -60 What is 0 + -122*19/(-76) + -30? 1/2 ((-20)/(-24))/((-49)/(-588)) - 45 -35 What is (-11)/2*15 + (-1341)/(-5811) + (-149)/26? -88 What is the value of -1*(16/12 + 748/231)? -32/7 Evaluate (59770/(-292873))/(5/(-42)). 12/7 Calculate (3844/4805)/(98/(-5)). -2/49 What is the value of 78 - 77*(-18285)/(-18073)? 3/31 Evaluate ((-2)/(-60))/(44 - (-36743)/(-812)). -2/75 Calculate (7/(-2))/7 + (-8694)/(-133722)*17/2. 1/19 What is the value of 62 + 28704/(-460) + (-42)/(-55)? 4/11 Calculate 24 - 413424/(-4806) - 110. 2/89 What is the value of (8 - 19 - -8)/((6/20)/((-126)/36))? 35 Calculate ((-1011)/(-674))/(-13 + (-1144)/32). -2/65 What is the value of 54*(-8)/40*(-150)/(-120)? -27/2 126 - 84 - (-24)/(-32)*-20 57 7708/(-227386)*1/2 -1/59 What is the value of -32 - (106 + -36 - 46)? -56 Calculate (-13300)/700 - (-241)/13. -6/13 Calculate ((-80)/(-12600)*-45)/(36/(-14)*4). 1/36 What is the value of (-83)/(-1) + (4/22 - (-1000)/550)? 85 Calculate (-166)/1826 + (-4)/22 - 1519/77. -20 Calculate ((-6021)/1561)/(-3*6/252). 54 Evaluate (2975/(-102) - -30)/(5*102/(-18)). -1/34 What is ((-2063001)/8721 - 1/(-18))*2/(-11)? 43 ((-3920)/(-168))/(1/3) 70 What is the value of (64/(-48))/(2002/(-5733))? 42/11 Calculate (-10901)/741268*(9/(-33) + 1). -2/187 Calculate -22*1053/(-2673) + -11*(-2 - -3). -7/3 Calculate 118/(-18) + 8980/16164. -6 Evaluate 1032 + -1042 + (-388)/(-38). 4/19 3394 + -3302 - 74/1 - (-356)/(-18) -16/9 Calculate 18/18*-2*(22/4 - (-30)/(-9)). -13/3 What is (465/20 - 4224/176)/((-3)/(-236))? -59 (2/13)/(46 + 823041/(-17901)) 34/5 What is 16 + -13 - (-8 + -34) - (-13 + 7 - 0)? 51 ((-6)/7)/(48 - 25764/532) 2 32/2 + 69/26496*-6112 1/12 Evaluate 16*((-2266)/(-132) + -17) + (4802/(-6))/(-7). 117 Evaluate ((-92)/(-8)*198/759)/(-21). -1/7 What is 0 + 6/4 + 6209/(-3548)? -1/4 What is 31/((-4836)/1404) + (-81)/(-7)? 18/7 Evaluate (14/(-5))/((-198)/8745) - (5/3 - 3). 125 ((4/(-66))/((-5)/(-45)))/(344/(-45408)) 72 (1*31/(-62))/(2/(-20)) - 19 -14 17 - (-12597)/(-340) - (16 - 11)*-4 -1/20 ((-10)/88)/(5460/(-48) + 114) -5/11 31/6 + -5 - 4379/(-906) - (-54)/(-14) 8/7 (724/1810)/(((-5)/1550)/((-1)/(1 + 1))) 62 What is the value of 44 + 30771/819 - 89? -52/7 Calculate 216/135 + 1 + (-2952)/220 - (-6)/(-33). -11 Evaluate ((-207)/(-270) - (-6)/(-10)) + -18 + (-39)/(-9). -27/2 What is the value of (-392)/840 + (2/12*2)/((-92)/276)? -22/15 (-9)/(-15) - (1776348/23180 + -76) -2/61 -4 + -90 + (-68)/34*20 + 18 -116 Calculate 8/(2/(-1))*133287/(-2308)*2/(-7). -66 Evaluate (-106)/42 + 1001/539 + 3/(-3). -5/3 47 + ((-3698065)/871)/95 30/13 Calculate (5984/116688)/((-3)/54). -12/13 What is the value of -30 + -13 - 45020/(-820) - 12? -4/41 (-78)/(-416)*(-9 - -20 - 7) 3/4 Calculate (-2)/(-7)*((-244)/5)/(6*(-108)/5670). 122 -118 - 240/(-5400)*2670 2/3 Evaluate (((-5)/3 - -2)/((-1859)/7436))/(19/3). -4/19 Calculate 363 + -378 - 1510/36 - (-19)/(-342). -57 Evaluate 28/(-25)*(89 + (-112217)/1288). -21/10 What is (27 + 16002/(-588))*-14? 3 (-15)/(-12)*-1*(-7040)/(-193600) -1
{ "pile_set_name": "DM Mathematics" }
r f. 1 Solve 206*i - 33 = -204*i + 412*i - 13*w, 3*i = -3*w + 18 for i. 3 Solve 2520*p - 2523*p + 5*x = -1, -5*p - 5*x - 53 = 14*x for p. -3 Solve 0 = -3*i - 2*t + 21, -59*t + 57*t - 15 = -i for i. 9 Solve 46*h - c = 49*h + 26, -h = 4*c + 16 for h. -8 Solve -4*p + 14 = -2*z + 4, 2*p = -5*z - 1 for z. -1 Solve w = 5*y - 61, 36*w + 45 - 176 = y for w. 4 Solve 381*s + 14 = 384*s + o, -4*s - 13 = -4*o + 11 for s. 2 Solve 5*r - 19*s + 14 = -20*s, 0 = 2*r - 5*s - 16 for r. -2 Solve -2*k + 3 = -o, 18*k + 18 = 5*o + 19*k for o. 3 Solve 5*c - 8 = 3*n - 38, -2*c - 2*n + 4 = 0 for c. -3 Solve -q - 7 = 5*w, 2068*w - 2067*w = -4*q - 28 for q. -7 Solve -3*o = 1189*g - 1190*g - 5, 44 = 4*o + 4*g for o. 4 Solve -10 = -2*v + 4*x, 0 = -4*v + 2*x + 140 - 138 for v. -1 Solve -4 = -2*f + 42*s - 38*s, -4*f + 2*s = -8 for f. 2 Solve -d = 2*q + 3, 4*d + 117 - 119 = -q for q. -2 Solve 5*p - 24*r + 145 = 0, 0 = 466*p - 462*p + 4*r for p. -5 Solve -3*p = -5*z + 74, 2*p = -z + 275 - 333 for p. -28 Solve 35*w + 2*u - 6*u = 26*w + 65, 2*u = -2*w for w. 5 Solve -29 = -3*w + 2*d, -6*w + d - 8 = -7*w for w. 9 Solve -23*w + 24*w = l - 7, -23*l = 5*w - 161 for w. 0 Solve d = t - 13, -350*d = t - 355*d - 9 for t. 14 Solve -116*r = q - 118*r, -4*r = -10*q for q. 0 Solve 16*a + 5*s - 2173 + 2125 = 0, 5*a - s = 15 for a. 3 Solve -365*y - 14 = -4*r - 367*y, 0 = 4*r + 3*y - 19 for r. 1 Solve 0 = 2*w + w - 6, -2351*w = -3*u - 2355*w + 20 for u. 4 Solve 5*z - 4*r - 1213 + 1201 = 0, 0 = 3*z - 5*r - 2 for z. 4 Solve -3*f + 11*k + 250 - 11 = 0, 3*f = -4*k - 91 for f. -1 Solve -y = 5*d - 28, d - 30 = 5*y - 14 for d. 6 Solve -36 = 2*h - 5*b, 1716*h - 1719*h - 6*b + 54 = 0 for h. 2 Solve -4*i + 2*y - 12 = 0, 1499*i - 1502*i = 3*y + 18 for i. -4 Solve 3*m = 3*q - 3, -3*m + 13*q = 14*q + 7 for m. -2 Solve 5*n = -h + 2, -6*n - h = 668 - 670 for n. 0 Solve -60*k = -2*o - 62*k + 12, -o - 2 = -k - 4 for o. 4 Solve -117*y + 116*y = 5*l + 5, 4*y = -5*l - 5 for y. 0 Solve 2*q + 52 = 3*d, 5065*q = -2*d + 5062*q - 52 for d. 4 Solve -14 = 957*s - 955*s + 4*a, s = a + 8 for s. 3 Solve 1020*k - 1017*k - 2 = s, -4*s + 3*k - 17 = 0 for s. -5 Solve 0 = -2*k + 6*d - 122, 0 = -12*k + 16*k + 5*d - 130 for k. 5 Solve 4*v - 155*m + 84 = -132*m, 0 = -3*m + 12 for v. 2 Solve l = -b - 5, 3*l - 148*b + 10 = -146*b for l. -4 Solve 0 = 2*i + 6*j + 26, 183*i + j = 180*i + 1 for i. 2 Solve -2*l - 17 = 27*y, -59*l + 58*l = -5 for y. -1 Solve 1 = 2*i + 5*h - 17, 0 = -3*h + 6 for i. 4 Solve a + 3*u + 10 = 0, 3*a - 3*u + 596 = u + 566 for a. -10 Solve 3*w + 6 = -2*h, -9*h - 85 = 145*w - 146*w for h. -9 Solve -2*k - 5*f = -10*f + 8 + 6, 0 = 50*f - 55*f + 10 for k. -2 Solve 12 = 1822*b - 1823*b, -4*k - 12 = 2*b for k. 3 Solve 0 = 21*l + 21, -21*x = -24*x + 5*l - 1 for x. -2 Solve 2*n + 5*y - 66 + 21 = 0, 4*n - 6*y = -22 for n. 5 Solve 101*k - 15 = 106*k - 2*q, -5*k + 25 = -10*q for k. -5 Solve 0 = -4*h - 3*f + 20, -2*h + 12*f = -22*f + 132 for h. 2 Solve -3*j = -3, -4*n + 104 = -8*j + 80 for n. 8 Solve 0 = 1563*i - 1561*i - 3*z, -i - 18 = 3*z for i. -6 Solve -5*s - 6*i - 21 = 0, 497*s + 17 = 492*s - 2*i for s. -3 Solve -10 = -5*h + 2*j, 89*h - 18 = 87*h - 2*j for h. 4 Solve 582*s = -32*q + 585*s - 9, 12 = 2*q + 4*s for q. 0 Solve -488 = -5*x + 4*b - 512, -88 = 21*x - 4*b for x. -4 Solve -3*y = -s - 26, -129*s = -4*y - 132*s + 13 for y. 7 Solve b - 7*k = -10, -3*b + 4*k - 12 = 52 for b. -24 Solve 609*o - 607*o = 3*t - 12, 2*o = -10*t - 64 for t. -4 Solve -2*i = -2*a + 4, -21*a = -23*a - 3*i + 19 for a. 5 Solve 70*n = 74*n + 3*t + 36, -2*n - 74 = 5*t for n. 3 Solve -5*q + 1 = -0*q - 4*c - 30, -16 = 4*c for q. 3 Solve -11 = m + 2*x, 11 = -5*m - 145*x + 146*x for m. -3 Solve u = 3*l + 257 - 266, 2*u = -8*l + 10 for l. 2 Solve 1469*y - 3*v = 1465*y - 55, -v - 125 = 13*y for y. -10 Solve 2*n + 10 = 2*f, 2*n + 748 = 3*f + 729 for n. 4 Solve -44*p + v = -40*p - 17, -p + 29*v + 378 = 0 for p. 1 Solve 15 = -5*i + v, 14*v + 1 = i + 13*v for i. -4 Solve -1263 = 9*b - 2*h - 1318, 0 = 5*b + 2*h - 15 for b. 5 Solve 3*o = 4*q - 16, 23*o - 3*q = 27*o - 37 for o. 4 Solve 5*a + 5*d = -10 - 40, 4*a + d - 5*d = 0 for a. -5 Solve 0 = -4*a + 3*b + 33, 3*a - 4*b - 351 = -321 for a. 6 Solve -3*p - 2*r = -9, 0 = 5*p - 9*r + 17*r - 1 for p. 5 Solve -20 = -2*f - 10*n + 6*n, -6*f - 3*n = -15 for f. 0 Solve -5*x - 31 = -4*b, 0 = 3*x - 3*b - 15 + 36 for x. -3 Solve -238*g + 233*g - 12 = a, 2*a + 5*g + 14 = 0 for a. -2 Solve -2*u - 2*n - 4 = 0, -129 = 3*u - 4*n - 102 for u. -5 Solve -5*j = 115*b - 120*b + 15, -5*j = b + 27 for j. -5 Solve -a + 17 = -4*o, 19*o = -a + 24*o + 22 for a. -3 Solve -4*x - 19 = -3*m, 3*x + 377 = -2*m + 188 + 196 for m. 5 Solve -q = -2*v + 32409 - 32398, 5*q = 5*v - 25 for q. 1 Solve -3 = 4*y - 5*k - 11, -6 = -3*y - 3*k for y. 2 Solve -i + 321*p - 340*p - 69 = 0, 3*p - 2 = -2*i for i. 7 Solve -4*m - 5*o = -334358 + 334382, 5*m + 9 = -o for m. -1 Solve 8 = 2*t + 4*x, -4*x + 14 = t + 8 for t. 2 Solve 15*g - 12*g + 1 = -2*w, 4*g - 3*w = -24 for g. -3 Solve q - 3 = 0, 3*q = -23463*b + 23468*b + 9 for b. 0 Solve -5*n - 31 = -175*a + 172*a, -a = 4*n + 18 for n. -5 Solve 4*w = -4*s, 36*s - 3*w = 30*s - 45 for s. -5 Solve -s + 34 - 42 = -x, -8 = -4*x + 12 for s. -3 Solve -51*n + 53*n + 16 = 4*h, 16 = 6*h - n for h. 2 Solve 3*p - 2*f = 19, -45*p = -50*p + f + 27 for p. 5 Solve 46*r - 44*r + 3*o - 21 = 0, 4*o = -r + 23 for r. 3 Solve 1165*x - 1170*x + 6*v - 12 = 0, -4*v + 54 = -11*x for x. -6 Solve -67*l + 63*l = 4*p - 20, -2*p + 2*l - 2 = 0 for p. 2 Solve 2*g = 6*a + 2, 2*a - 35*g + 30*g + 70 = 0 for a. 5 Solve o + m = 2, 32*o - 5*m = 27*o - 10 for o. 0 Solve 712*i - 716*i + 26 = -t, 11*t = -5*i + 8 for t. -2 Solve 936*s - 3 = 3*k + 933*s, -3*k = 2*s + 18 for k. -4 Solve 101*z = 106*z + 2*a - 63, -z + 3*a + 16 = 0 for z. 13 Solve t - x - 2 = 0, -t = -6*t + 3*x for t. -3 Solve 4*g = -2*o - 26, 6*o - 229*g + 227*g - 34 = 0 for o. 3 Solve -14*m - 12*m - 21*m - 5*f = -44*m + 4, 1 = f for m. -3 Solve -7*b + 12*b + 99 = 4*h, 2*b = 6*h - 132 for h. 21 Solve -39*k = -37*k + 6, -2*k = 4*l + 14 for l. -2 Solve -41*t = -46*t - 2*p - 2, -11*t + p + 19 = -9 for t. 2 Solve -m + 18 = 4*d, m + 2*d + 25607 = 25615 for m. -2 Solve -33*u + 37*u = -z - 3, -5*z + 17 = 4*u for z. 5 Solve 4*h + 1678 = -4*z + 1698, 4*h + 3*z - 18 = 0 for h. 3 Solve 5*y = 5*k + 25, 6*y = 3*y + 9 for k. -2 Solve 5*g - 200 = 5*c, 2*g + 2*c + 1063 = 1123 for g. 35 Solve -1383*y + 1385*y - s - 20 = 0, 32 = -4*y - 4*s for y. 4 Solve 3*k = 1137*u - 1141*u - 18, u = 3*k - 12 for u. -6 Solve 21 = -5*j - 3*u, 4*j - 2*u - 32 = -40 for j. -3 Solve 2*q + 2*m + 2 = 0, 205*q - 200*q + 3*m = -13 for q. -5 Solve -4*r + 33908 - 33920 = 4*g, -5*g - 4*r = 14 for g. -2 Solve -2 = 2*v - 32, -5*v = 4*a - 87 for a. 3 Solve -11406*j - n = -11402*j + 18, 5*j - 2*n - 5 + 8 = 0 for j. -3 Solve -4*v + 5*w + 206 = 139, v - 5*w - 13 = 0 for v. 18 Solve 4*z = y + 4, -398 + 394 = -4*y + 6*z for y. 4 Solve 2*x - 4*o = -6, 44*x - 42*x - 3*o + 5 = 0 for x. -1 Solve -10*h = -14*h - 3*a - 15, h - 2*a = -12 for h. -6 Solve -2*s = 4*r - 14, 20*r + 3*s - 19 = 15*r for r. 2 Solve 5*g = 137*u - 231*u - 460, -19 = 3*g + 5*u for g. 2 Solve 2*r + 198*t - 195*t - 32 = 0, 3*t = r - 7 for r. 13 Solve 3*w + 15 = -4*l, 3*l + 990*w = 985*w - 25 for l. 0 Solve 3*m = 2*p + 20, 5*p = 4*m - 429 + 407 for m. 8 Solve 0 = 5*k, 3 = -d - 43*k + 42*k for d. -3 Solve 751*c - 752*c - 5*z = -13, 3*c + 24*z - 75 = 0 for c. -7 Solve -2470 = -2*f + 4*s - 2478, 7 = -4*f - s for f. -2 Solve -59*n = -54*n + 6*f + 46, -f = 4*n + 14 for n. -2 Solve 5*t = 10, 0*g + g - 3*t = -18 for g. -12 Solve -4*n + 27 = -3*v, -15*n + 8*n - 14 = -5*n + 4*v for n. 3 Solve i + 4*w = -11, -8*i + 7*i - w - 5 = 0 for i. -3 Solve 0 = 4*j + 5*v + 3, 745*v - 729*v - 12 = -2*j for j. -2 Solve -1249*l = -1254*l + 5*y + 25, 2*l = 3*y + 10 for l. 5 Solve 0 = -2*r - 5*n + 33, 5*r - 5*n - 1285 + 1290 = 0 for r. 4 Solve -3*f = 3*q + 9, -2*q - 315 + 309 = -3*f for f. 0 Solve 2*o + 28 = 4*g, 60 = 4*g - 3*o + 9*o for g. 9 Solve 0 = 3*q + 5*h + 13, -3*h = 3*q + 36 - 33 for q. 4 Solve -118*l + 5 = x - 113*l, -5*x - 23*l = -25 for x. 5 Solve -2*b - 14 = 5*s - 5, -3*s = 3*b - 9 for b. 8 Solve 2*c + 2*p = 0, -57*c + 52*c + 2 = 4*p for c. 2 Solve -4*i - 34 = 3*n, i + 460 - 555 = 5*n for
{ "pile_set_name": "DM Mathematics" }
late (26/4)/(5 + (-126)/28). 13 What is 55104/(-3696) + (-2)/22? -15 (1170/(-143) - -13) + 6/33 5 1*4/(-18) + ((-40)/(-99))/1 2/11 Calculate 1 + (-161)/(-10) + 64/(-640). 17 What is the value of 6/(-15) - (-549)/60 - 1/(-4)? 9 What is the value of (16 - 18) + -3 + 1 + 4? 0 What is the value of 10/(-25) + (-80)/50 + -33? -35 What is 14/(-3850)*-135 - (-2)/(-5)? 1/11 29/(377/(-78)) - -23 17 Calculate ((-8)/((-80)/6) - (-147)/(-70)) + 0. -3/2 What is the value of 3/2 - (98/4 - 1350/90)? -8 Evaluate (-147)/(-14)*570/532*4/(-3). -15 6*28/(-40)*(486 - 491) 21 What is ((-14)/(-4) - 5)/((2 - -7)/(-3))? 1/2 What is the value of 5/2 - ((-35)/(-10))/(-1)? 6 What is the value of -8 + 18 + 92/(-9)? -2/9 Evaluate (135/(-30))/((-19)/22 + 1). -33 What is the value of 10/(-7) + 366/854? -1 Calculate (-119)/(-34)*(57/133 + 45/(-77)). -6/11 (288/60)/((-927)/(-515)) 8/3 (-115)/460 + (5 - (-426)/(-88)) -1/11 What is the value of 741/627 - 1*(-1 - -2)? 2/11 What is the value of (284/213)/((-2)/18)? -12 Evaluate (-1430)/104 + 19 - (-10)/(-2). 1/4 (31*(-40)/56420)/((-3)/3) 2/91 Evaluate (55/(-30) - -1) + (0 - 246/(-324)). -2/27 What is (47/((-18048)/240))/(50/(-24))? 3/10 (-4)/(-18)*2*13/2028*-13 -1/27 What is the value of (150/4)/15 - 2*(-7)/4? 6 What is the value of 78/6 - 362/28? 1/14 Calculate 360/693 - (18/(-7) + 3). 1/11 What is the value of (-71 - -77) + 4 + (-594)/60? 1/10 Evaluate 5*6*13*(-12)/(-780). 6 ((-1302)/63 - -20) + (-24)/(-9) + -2 0 What is the value of (25 + 3515/(-152))/(-1)? -15/8 Calculate (-538)/807 + 50/48. 3/8 Evaluate 0/(13/(-39)*3). 0 Evaluate ((-4)/24)/(6/(-72)). 2 Evaluate 21/(378/(-12)) + (660/(-279) - -3). -1/31 (-27 + 33)/((-39)/65) -10 (-69)/(-105) - (-65)/455 - 0/4 4/5 Evaluate (-13)/26*14/(28/4). -1 (-1089)/(-660) - ((-3)/(-12) + 0) 7/5 Evaluate ((-108)/(-138) - 1)*(-5)/((-25)/(-3)). 3/23 What is the value of (-1688)/(-212) + 106/2809? 8 Evaluate -24*((-282)/24 - -11)/((-3)/(-2)). 12 Evaluate (-124)/5 + 2 + 20. -14/5 Evaluate (25/15)/(780/5616). 12 What is (360/315)/(1 - 2)? -8/7 (48/(-192))/((-357)/444) + (-3)/7 -2/17 What is the value of (4510/1435)/(5 - 9 - (-58)/14)? 22 What is 23/26 + 3/(-6) - (1787 - 1788)? 18/13 What is 1295/185 + ((-69)/(-6))/(-1 - 0)? -9/2 What is the value of (32346/9584)/(0 - (3/12 - 1))? 9/2 What is (-1088)/(-1479) - (-3)/((-87)/2)? 2/3 What is the value of (6 + 828/(-115))/(-5 + (-591)/(-120))? 16 Calculate 2 - (-4 - -3) - (0/9)/4. 3 (5 - 1)/((-1090)/327) -6/5 What is the value of (-3)/6*(-2 - (-8 - -2))? -2 Calculate ((-3)/18*-34)/(13/(-39)). -17 Calculate (-18)/10 - ((-216)/(-1296) - 11/30). -8/5 What is the value of 17 - 2364/84 - 1/(-7)? -11 What is the value of -26 + 1 + 38 - -19? 32 Evaluate 15 + (-120)/(-8) + -32. -2 Evaluate ((-972)/16)/(-9)*(16 - 924/63). 9 What is the value of ((-4)/(-14) + 508/(-1974))/((-138)/(-207))? 2/47 What is the value of (-54)/10 + 5/25*-3? -6 ((-1803)/3005)/(142/(-70) - -2) 21 (215 - 221) + (-224)/(-38) -2/19 What is the value of (-3)/8 + (36/(-384))/((-45)/300)? 1/4 What is the value of 1/2*-2 + (-12)/24? -3/2 Calculate (24 + (-1860)/90)/((-6)/45). -25 Evaluate (-36)/54*2289/102 + 15. 2/51 What is ((-9)/15*1)/(88/110)? -3/4 Calculate (-1 + -3)/(5/6 + -1). 24 What is the value of (-72)/27 - 4482/(-1701)? -2/63 What is (-136)/24*132/(-36) + (-8)/(-36)? 21 What is (14 + -31 + 19)/((-11)/6)? -12/11 What is the value of (-28)/70 + 44/(-77) + (-1362)/(-105)? 12 What is ((-60)/16 - -5)/((-7)/(-14))? 5/2 (-1)/((308/(-33))/(-28)) -3 Evaluate 19236/12852 + (-2)/(-34). 14/9 What is the value of (-2 - -197)/(-15) + 1? -12 0/((-4)/4) + 7 - (-9 - -29) -13 Evaluate ((-100)/(-800))/((-3)/(-504)). 21 Evaluate (28/8)/((-156)/(-364)*14/(-12)). -7 (-3)/4 + (-1220)/640*8 -16 What is the value of 121/(1452/(-72)) - (19 + 0)? -25 (16 - 9) + -10 - ((-3 - -8) + 4) -12 ((-66)/(0 - -11))/2 - (-52)/17 1/17 What is 2 - (-1 + 1)/(24/(-24))? 2 What is the value of (-8*9/(-216))/(-1)? -1/3 Calculate 5/390*-8*((-7)/(-14) - -7). -10/13 Evaluate 18/39 - ((-3402)/(-1287) - 0). -24/11 37 - 10188*(-34)/(-9384) 2/23 What is the value of (-45489)/64764 + 2/(-42)? -3/4 What is the value of 1*((-3168)/(-608) - (-10)/(-2))? 4/19 What is the value of (1/3)/(17/(-663)*-143)? 1/11 Calculate (-20)/8*728/130. -14 Calculate (116/290)/(-1 + 11/33). -3/5 What is the value of 3/(63/(-285)) - (33/(-21) - -2)? -14 ((-1184)/(-44) + -27)/((-6)/(-4)) -2/33 What is the value of (12/(-27))/(140/(-70))? 2/9 Evaluate (10/(-6))/(13/(585/(-25))). 3 Calculate -19 + (-81)/18*-2 - 4/2. -12 Evaluate (10/35)/(11 + (-74059)/6727). -31 Evaluate 79/10 + -4 - (-9)/60*4. 9/2 (-20)/25*-15 + (-11 - -12) 13 Calculate (-2656)/(-112) + -16 + (1 - 0)*-7. 5/7 6/(3 + 8 + 2263/(-62)) -4/17 Calculate 29/((-22620)/1842) + (-2 - 22/(-5)). 1/26 Calculate (-4 + 0)/4 + (39 - 34). 4 Calculate ((-22)/4)/(11/20 - (-52)/(-1040)). -11 What is the value of (-8)/24*12/(-2)*-4? -8 Evaluate (-2)/(-13)*4758/2684. 3/11 What is the value of (-20)/(-24) + 19/(-228) - 2/(-8)? 1 98/490 - (15/(-25))/((-12)/344) -17 (12/(-38))/(-6) - 1815/10659 -2/17 What is the value of (-6)/(-111) - 124644/(-10434)? 12 Evaluate (14 - 902/55)/((-1)/5). 12 2 + (-21)/(-7) - (6 + -1 + -8) 8 Evaluate -3 - (0 + 21*10/(-75)). -1/5 Evaluate (6948/579)/(1/((-2)/(-17)) + 2). 8/7 Evaluate ((-951)/(-4438))/((-27)/(-21)). 1/6 What is -5*30/1125 + (-24)/(-105)? 2/21 Evaluate (-7)/((-140)/(-12)) + 141/(-15). -10 What is 4*(-91)/21*6*(-1)/(-4)? -26 Calculate (-3 - 99/6)*((-360)/27)/(-20). -13 Evaluate 1*10/175*(-20)/16*6. -3/7 Evaluate (21/(-6))/(14 + (-203)/14). 7 What is the value of ((-1110)/315 + (-14)/(-21))*63/(-9)? 20 Calculate -3 + ((-825)/(-200) - 2/4). 5/8 What is the value of ((-7248)/(-96) - 78) + (-5)/4? -15/4 What is the value of 61/2 + (-735 - -707)? 5/2 Evaluate 8/(-6)*((-41)/(-1189) + (-121)/986). 2/17 3*(13 - 96/8)*(-4)/78 -2/13 Calculate ((-3)/7)/(((-792)/22)/(-36)). -3/7 Evaluate 33/((-8580)/(-40))*(-26)/4. -1 -1*(-2 - -15) - (-234 - -220) 1 What is the value of 4/(-11) + (-33448)/(-119328)? -1/12 Calculate (390/(-1690))/(5/455). -21 (1474/44 + -28)/(-1*(-2)/4) 11 3/8*(-1480)/(-333) 5/3 Evaluate (-8)/(-14)*(-10 + (-533)/(-52)). 1/7 Calculate (-3)/(9/4) + (28860/(-36))/37. -23 Evaluate -24 - (4175/(-75) + 33). -4/3 What is 1344/(-288)*(-24)/(-28)? -4 Calculate (38/(-11) - (-1344)/(-2464)) + 18/4. 1/2 What is -65*(-9)/(1404/24)? 10 5/(255/6) - (-1656)/6732 4/11 What is the value of (-29 - (-280)/245) + 2 + (-8)/7? -27 (455/28)/((-120)/(-192)) 26 What is 2976/(-960) - (-35)/14? -3/5 What is (-282)/(-423) + 46/3? 16 What is the value of (48/320)/(66/55)? 1/8 Calculate 212/(-742) + 11/14. 1/2 (-36)/(-63) - (-1456)/196 8 0 - (-10 + 9 + -12) 13 What is the value of 165/198*(-15)/65*(-13)/2? 5/4 3*4/(-6) - (-11 + (-1200)/(-132)) -1/11 What is the value of (1 - 260/20) + 162/14? -3/7 Evaluate 2/10 - ((-2)/(-5))/((-1242)/(-891)). -2/23 What is the value of (-6 + 95/15)/(2/(-6))? -1 Calculate 152/2280*(-12)/(-14). 2/35 Calculate 6/8*(-156)/(-273). 3/7 Calculate 0 + ((-544)/20)/8. -17/5 Evaluate (-54)/3 - (86 + -90). -14 (1764/(-1512) + (-37)/(-30))/((-2)/(-6)) 1/5 What is (-5*16/(-660))/(-3*(-2)/9)? 2/11 Evaluate 6 + (-92)/16 - ((-424)/(-96) + -4). -1/6 What is ((12/(-7))/6)/((-205)/(-105) - 2)? 6 What is (160/(-120))/(4/(-9)) - -2? 5 What is the value of (-62 - 17271/(-285))*(-1)/(2/10)? 7 Calculate (12/5*(-2 + 3))/(270/(-900)). -8 (6/5 + 77/(-35))*78/468 -1/6 Evaluate (456/171)/((30/(-9))/(-5)). 4 Calculate (-4 - 1)/((-117)/(-66) - (-10 - -12)). 22 What is (2632/(-282))/(-1 + (-4)/4)? 14/3 Calculate (-14328)/3980 + (-366)/(-110). -3/11 What is (-207)/1035*15/7? -3/7 Calculate (-2)/(-3)*(1488/(-32))/(-31). 1 Evaluate ((-239)/4780)/((-1)/(-44)). -11/5 What is ((-65)/(-15))/13*(-33)/(-44)? 1/4 What is the value of 2 + (-645)/336 - (-29)/464? 1/7 1/(((-6)/(-42))/1) + -9 -2 Calculate 27/((-1134)/228) - (-2 + -4). 4/7 What is ((-62 - -59) + 17/4)*7/5? 7/4 Evaluate (6 + -22)/(42 - 44). 8 Calculate ((-145600)/2760)/(-70) + 3/9 + -1. 2/23 What is (-2*1)/((37 - 38)/((-3)/33))? -2/11 306/(-578)*(-4)/(-18) -2/17 (-11)/(-8) + ((-5050)/(-5656))/(30/21) 2 -4 + 303/18 - (-23)/138 13 What is the value of 308/1496*(-8)/7? -4/17 Calculate (424/136 - (2 + 1))/1. 2/17 Calculate 153/340*(-55)/(-132). 3/16
{ "pile_set_name": "DM Mathematics" }
-7 * 0.0976 -0.6832 What is -18 times -0.101? 1.818 Product of 245 and -0.7. -171.5 Calculate 692*11. 7612 -0.189 * 0.5 -0.0945 Multiply 551 and -0.5. -275.5 Calculate 0.4*-0.094. -0.0376 -211 times 5 -1055 Multiply -5 and 35. -175 0.32 * 0.5 0.16 0.14*-0.4 -0.056 What is the product of 0.3 and -0.202? -0.0606 587 times 0.02 11.74 20 times 235 4700 Work out 2.24 * -0.009. -0.02016 -0.1*0.45 -0.045 4 times 0.02 0.08 What is -0.3 times 3.3? -0.99 -1569 * 14 -21966 What is -188 times 0.22? -41.36 Work out -0.103 * 0.2. -0.0206 Product of 8 and -6.9. -55.2 -287 * 2 -574 Product of 5 and 3288. 16440 -63*-9 567 What is the product of 0.4 and -1.226? -0.4904 Multiply -32 and -9. 288 Calculate 3.4*0.3. 1.02 Calculate 2.9*9. 26.1 -0.0551*-6 0.3306 Calculate -517*3. -1551 Calculate 1*123. 123 Product of -79 and 2. -158 -3.133*3 -9.399 What is the product of -14 and 19? -266 What is -15 times -70? 1050 What is 0.1712 times 3? 0.5136 85 times 0 0 0.5 * -0.117 -0.0585 What is -0.5 times -3.8? 1.9 1.6 times -2.376 -3.8016 What is the product of 77 and 1? 77 Calculate 1*-474. -474 Calculate -15*6. -90 -0.3 * -62 18.6 What is -53.3 times 4? -213.2 Product of 0.06 and -40. -2.4 What is the product of 0.44 and -5? -2.2 -7.83*0.1 -0.783 Work out -0.7 * -1920. 1344 Multiply -2323 and -2. 4646 0*-16 0 0.07 * 505 35.35 What is 0.016 times -0.01? -0.00016 -17*-626 10642 -0.1 times 11.8 -1.18 Multiply 0.2 and -30.8. -6.16 Work out -4 * 6. -24 -2 times -19 38 Calculate 154*5. 770 0.21 * -0.26 -0.0546 What is the product of -3.3 and 39? -128.7 What is the product of 9675 and -3? -29025 What is the product of -462 and -42? 19404 What is 4 times 0.0225? 0.09 What is 0.5 times 0.27? 0.135 What is -3.7733 times 0.1? -0.37733 1.584 times -0.1 -0.1584 22 times 0.2 4.4 What is 0.099 times -5? -0.495 -0.164*2 -0.328 -141*25 -3525 What is the product of -0.039 and -95? 3.705 What is the product of 0.06 and -167? -10.02 -0.4*71 -28.4 What is the product of -1 and 375? -375 -3 * 466 -1398 What is the product of -1.187 and 0.31? -0.36797 Product of 12218 and -5. -61090 Work out -79.4 * 9. -714.6 Multiply 7434 and 5. 37170 -3874 times -0.2 774.8 3.28 times -0.084 -0.27552 -0.0188 * 0.3 -0.00564 Product of -0.3 and -48. 14.4 -0.3 times -0.68 0.204 42*-1 -42 Multiply -0.4 and 4.58. -1.832 7 times 173 1211 What is -30 times -1.3? 39 What is -713 times 0? 0 Product of 0.2957 and -3. -0.8871 Multiply -11 and 0.02. -0.22 What is the product of 372 and -1? -372 What is -12 times 56? -672 Work out 0.023 * -3. -0.069 What is the product of 136 and 54? 7344 What is the product of 56 and -0.4? -22.4 What is the product of 0.07 and 1450? 101.5 What is 0 times 0.099? 0 Product of 24884 and 3. 74652 What is the product of 727 and -0.3? -218.1 -27 * -309 8343 Product of -0.0545 and 0.01. -0.000545 Multiply -229 and 0.4. -91.6 -515 times -0.2 103 Product of -0.6 and 0.1209. -0.07254 -6.04 * 0.4 -2.416 Product of -3 and -14.5. 43.5 Work out 0.2 * 223. 44.6 Product of -0.79 and -0.172. 0.13588 Work out 0 * 570. 0 Multiply 0.6 and 0.013. 0.0078 Multiply 0.073 and -1.5. -0.1095 0.001 times 0.71 0.00071 What is the product of -26.5 and -0.04? 1.06 Calculate -25*-0.05. 1.25 Work out 74 * -0.05. -3.7 5 times 0.054 0.27 Calculate 4106*-0.3. -1231.8 Multiply 2001 and -3. -6003 What is the product of 0.0724 and -2? -0.1448 Multiply 0.2 and -6.7. -1.34 -0.2 times -1092 218.4 What is -0.3 times -0.152? 0.0456 0.133 * 0.09 0.01197 Multiply 1300 and 0.3. 390 -207 * -5 1035 10755 times -4 -43020 -634*0.5 -317 Multiply 0.007 and 0.2. 0.0014 What is -2 times 1.45? -2.9 Work out 1.78 * 3. 5.34 -0.096 times -0.4 0.0384 Work out -1875 * -0.4. 750 Multiply 4 and -127. -508 Multiply -1 and -2275. 2275 -0.5 * -73 36.5 Product of -3 and 56. -168 What is -0.1 times -40? 4 Calculate -0.6*2. -1.2 What is the product of -2440 and 0.3? -732 What is -87.6 times 0.4? -35.04 What is -3015 times -0.1? 301.5 Multiply 3 and 3006. 9018 What is the product of -0.2 and 54? -10.8 Product of -26 and 3. -78 Product of -0.3 and 116. -34.8 -368 * -2 736 Multiply 1.9 and -2.2. -4.18 Multiply 530 and -3. -1590 0.4*-2.22 -0.888 Work out -1.92 * -2. 3.84 What is the product of 0.14 and -0.06? -0.0084 Calculate 72*0. 0 Multiply 0.2 and -306. -61.2 29 times -34 -986 0.02 * 21 0.42 What is -3.64 times 0.06? -0.2184 17.66 times -1 -17.66 What is 9 times -31.2? -280.8 0.0038*-1 -0.0038 What is the product of 8.75 and -0.3? -2.625 Work out -4 * 265. -1060 Multiply -44 and -0.09. 3.96 0.0617 times 4 0.2468 Multiply 3.6 and 3. 10.8 Multiply 3.031 and 0.3. 0.9093 -131 times 33 -4323 71 times 4 284 What is the product of -2 and 1901? -3802 What is the product of -2 and -13? 26 0.5 times -7 -3.5 Product of 109 and 91. 9919 0 * 0.59 0 -1.522 * 4 -6.088 -0.2*1.9 -0.38 What is -4 times -12.47? 49.88 1.42*-0.27 -0.3834 What is -1.81 times -2? 3.62 Multiply 0.5 and -0.16. -0.08 What is -276 times 0.04? -11.04 Multiply 321.4 and 0.3. 96.42 33 times -3 -99 0.6 times 1539 923.4 13.9 * 0.3 4.17 Product of -5 and 643. -3215 Product of -796.5 and 0.1. -79.65 Multiply 4 and 0.001. 0.004 What is -0.5 times -54? 27 Calculate -2404*0.4. -961.6 Multiply 0.31 and -5. -1.55 100*0.7 70 -5148 * 0.3 -1544.4 -142 times -2 284 What is 0.1 times -0.35? -0.035 Calculate 239*-2. -478 Product of -0.04 and -19.54. 0.7816 Work out 47 * -0.12. -5.64 What is the product of 5 and 1150? 5750 Calculate -2*0.76. -1.52 -1188 * 4 -4752 Multiply 0.005 and 4. 0.02 -0.1 * 0.0965 -0.00965 Calculate 0.2*-60. -12 Product of -0.6 and 49. -29.4 0.26 * -23 -5.98 4 * -0.04759 -0.19036 0.2 times 1.495 0.299 What is -2.8 times 0.51? -1.428 Calculate -2*-29.5. 59 -0.4 times 807 -322.8 Work out -3 * 180.7. -542.1 Product of -1.4 and -0.2. 0.28 What is 225 times 0.5? 112.5 What is the product of -1.27 and 0.4? -0.508 What is 0.5 times 21.3? 10.65 Multiply -0.027 and -0.04. 0.00108 Product of 3 and 47. 141 -1 * -4 4 Work out 1229 * -2. -2458 Multiply -0.371 and -3. 1.113 Work out 4 * 146. 584 -162*1.2 -194.4 Calculate 8.04*1.2. 9.648 -0.5 * -0.082 0.041 Work out 1.6 * -0.12. -0.192 Calculate 208*4. 832 Work out -2 * -3.292. 6.584 -346.01*-4 1384.04 38 times -10.2 -387.6 Multiply 22 and 3.5. 77 Work out -146 * 0.15. -21.9 24 times 0.5 12 -0.36 * 4.6 -1.656 What is the product of -19 and -0.19? 3.61 Product of -6 and 2.015. -12.09 5*-17 -85 0.63*-8 -5.04 419 times 0.1 41.9 What is -0.1 times -63.6? 6.36 -4 times 0.73 -2.92 226*0.4 90.4 -0.14*0.22 -0.0308 What is the product of 20 and -0.194? -3.88 Multiply -0.2 and -0.483. 0.0966 0.5*-0.087 -0.0435 Calculate 0.06*-226. -13.56 739 times 1 739 What is the product of -25.5 and 0.5? -12.75 3.433 * -2 -6.866 What is -0.73 times 0.4? -0.292 Work out -4 * 0.29. -1.16 Calculate 0*549. 0 Multiply 32 and 0.4. 12.8 Calculate 107*-0.5. -53.5 Multiply -0.8 and -328. 262.4 Multiply 0.2 and 0.159. 0.0318 0.06*60.6 3.636 -15770 * -0.4 6308 -0.06*-0.03 0.0018 Work out -190 * -4. 760 Work out 6 * 45.6. 273.6 0.3*745 223.5 Product of -0.3 and -0.27. 0.081 What is the product of 316 and -0.4? -126.4 Calculate -42*-1. 42 Work out -4148 * 1. -4148 -1.81*-3 5.43 Product of 0.5 and -0.1841. -0.09205 Work out -3.2 * 453. -1449.6 What is 8 times -5? -40 Product of -3.67 and -6. 22.02 -0.012059*-2 0.024118 Product of 5 and -570. -2850 Product of 30113 and -4. -120452 What is the product of -5 and -45? 225 What is 8 times -0.16? -1.28 Multiply 10 and 223. 2230 Calculate 5.15*-0.3. -1.545 Calculate -0.05*19. -0.95 What is 808 times -2? -1616 Multiply 456 and -7. -3192 What is the product of 53005 and 3? 159015 What is -0.5782 times -1? 0.5782 Work out -7 * 0.33. -2.31 0.14 * -25 -3.5 What is the product of -7 and 38? -266 Calculate 0.9*-2025. -1822.5 Calculate -792*-0.03. 23.76 What is the product of 0.4 and -336? -134.4 -9*-132.8 1195.2 What is -133.4 times 1? -133.4 What is 2.406 times 2? 4.812 Work out 70.88 * 0.5. 35.44 1.6 times -0.05 -0.08 Multiply 16826 and -1. -16826 -37 times -0.04 1.48 Calculate 1762*-0.2. -352.4 Work out -0.6 * 0.5. -0.3 Product of 132 and 31. 4092 Calculate -0.054*7.8. -0.4212 Multiply -0.43 and 0. 0 Calculate -0.8*-10. 8 What is the product of -14 and -2.6? 36.4 Work out -9 * -0.76. 6.84 Work out -0.004 * -5. 0.02 Product of -9733 and -0.5. 4866.5 181
{ "pile_set_name": "DM Mathematics" }
140 Let k = -2.88 + 2.88000169. What is k rounded to 7 decimal places? 0.0000017 Let p = -9 + 6. Let x = -3 - p. Let u = x + -0.000003. Round u to 5 decimal places. 0 Let o = 75.1 + -5.1. Let w = o + -69.9957. Round w to 3 decimal places. 0.004 Let k = 20.31 + -20. Let u = k + -0.3. Let f = u + 0.112. What is f rounded to 2 decimal places? 0.12 Let w = 0.18 - -1.28. Round w to 1 dp. 1.5 Suppose -u = 4*u - o - 1515, -2*o - 294 = -u. What is u rounded to the nearest ten? 300 Let i = 153.9 + -171. Let m = i - -19. Let u = m - 1.81. What is u rounded to 2 decimal places? 0.09 Let i = 127.306921 - 116.7069296. Let l = -10.6 + i. Round l to six dps. -0.000009 Let x = -411204 - 8796. What is x rounded to the nearest 100000? -400000 Let l = 0.0290139 + -0.029. What is l rounded to 6 decimal places? 0.000014 Suppose -a - 2 + 4 = 0. Let q = 4 - a. Suppose 8400 = q*j - 0*j. What is j rounded to the nearest one thousand? 4000 Let a = 0 + -0.4. Let u = a + 0.40082. What is u rounded to four dps? 0.0008 Let a = 8.5 - 3.2. Let h = a + -5.503. Round h to two dps. -0.2 Let s = -2502201 + 2502202.842451. Let n = s - 1.75852. Let o = n - 0.084. What is o rounded to five dps? -0.00007 Let g = 0.08 - -0.02. Let u = g + 5.9. Let i = u - 6.0024. What is i rounded to 3 dps? -0.002 Let k = 0.35 - 0.4196. Round k to two decimal places. -0.07 Let l be -6*(-4 - -2)/2. Let d = 0 + l. Suppose a - 3*p + 40 = 0, d = 4*a - 4*p + 134. Round a to the nearest 10. -30 Let g = 0.317 - 0.204. Let n = 373.487 - 362.2. Let x = n + g. What is x rounded to zero decimal places? 11 Let d = -1399 + 1398.999999319. Round d to 7 decimal places. -0.0000007 Let n = 11 + -15. Let a = n - -4.0027. What is a rounded to 3 decimal places? 0.003 Let z = 1.020816 + -1.02. What is z rounded to four dps? 0.0008 Let f = 8438689482.3138741 + -587.3138741. Let n = 8438688961.99999949 - f. Let j = 67 - n. Round j to 7 dps. 0.0000005 Let j = -1.845 - -1.9. Let a = j + -0.05500054. What is a rounded to 7 dps? -0.0000005 Let r(x) = 869*x**3 - x**2 + x - 1. Let p be r(1). Suppose -2*h + p = -92. What is h rounded to the nearest 100? 500 Let o be ((-3092328)/(-20))/(12/160). Let z be -4*(-134614 - (1 - 3)). Let j = o + z. What is j rounded to the nearest one million? 3000000 Let b = -1.7 - -1.7000096. What is b rounded to six decimal places? 0.00001 Let v = 3 - 1. Let b = v - 2.03. Round b to one dp. 0 Let h(a) = -1436534*a**2 - 4. Let y be h(-3). Let d = -3728810 - y. What is d rounded to the nearest 1000000? 9000000 Let k(c) = 120612*c**2 + 12. Let i be k(-7). Suppose -9*g = -6*g + i. What is g rounded to the nearest 100000? -2000000 Suppose -5*f + 20 = 0, 3*f + 1626 = -2*r - 302. What is r rounded to the nearest one hundred? -1000 Let i = 17618.912 - 17758. Let d = 142.1 + i. Let a = -3 + d. What is a rounded to two dps? 0.01 Let j(q) = 12000*q**2 - q + 1. Let a be j(1). What is a rounded to the nearest 1000? 12000 Let j = -24819 + 48619. Suppose o + j = 5*o. Let n = -3550 + o. What is n rounded to the nearest one thousand? 2000 Let x = -81.68 + 84. Round x to one decimal place. 2.3 Let b = -173 - -173.00000218. What is b rounded to 7 decimal places? 0.0000022 Suppose 2*r - 5*w = 312, w + 3*w = 8. Round r to the nearest 10. 160 Let s = 58534.6599928 - 58532.76. Let d = -1.9 + s. What is d rounded to 6 decimal places? -0.000007 Let r = -44.984 + -0.016. Let q = 14221.0049 + -14176. Let n = q + r. Round n to three dps. 0.005 Let t = -6255075140 - -6255098683.110046. Let l = 23543 - t. Let y = -0.11 - l. What is y rounded to five decimal places? 0.00005 Let x = -4447.0076 + 4430. Let t = x + 17. What is t rounded to three decimal places? -0.008 Suppose -3*q + 3610452 + 16669548 = 0. Round q to the nearest 1000000. 7000000 Let o = -0.9 + 1.2. Let m = o + -0.29999984. What is m rounded to seven decimal places? 0.0000002 Let t = 15 - 14.48. Let o = -0.26 + t. Round o to 2 decimal places. 0.26 Suppose 0*b = -4*b - 389612. Let o = 112597 - b. Round o to the nearest one hundred thousand. 200000 Let z = -170 - -310. Let f = z + -139.99999943. Round f to 7 decimal places. 0.0000006 Let a = 901 + -4001. Round a to the nearest one thousand. -3000 Let u = -166 - -111. Let o = u + 29. Let m = -25.16 - o. Round m to one decimal place. 0.8 Let t = -41016.7599992 - -41014.46. Let a = -2.3 - t. What is a rounded to seven decimal places? -0.0000008 Let s = 0.0529 + -0.138. What is s rounded to two decimal places? -0.09 Let b be 1350/(((-54)/(-280))/9). Round b to the nearest 10000. 60000 Let m = -27.0000019 + 27. What is m rounded to 6 dps? -0.000002 Let h = 0.033 - -0.03. What is h rounded to 2 dps? 0.06 Let h = 0.051 - 0.258. Let u = -247.793 + h. Let a = 247.883 + u. Round a to 2 dps. -0.12 Let u = -111.169 - -0.169. Let z = u + 110.53. Let k = z - -0.4. Round k to one decimal place. -0.1 Let f(i) be the third derivative of i**4/24 - i**3/3 - 3*i**2. Let l be f(5). Suppose -l*m + 4*q + 100 = -q, q + 55 = 2*m. What is m rounded to the nearest ten? 30 Let h = -105424814 + 105424814.47999981. Let w = 0.07 - 0.55. Let t = w + h. What is t rounded to 7 decimal places? -0.0000002 Let u = -0.759 + 1.528. What is u rounded to 2 dps? 0.77 Let o = -4257515.8 - -2576557.9. Let s = 1680960.0000046 + o. Let w = 2.1 - s. What is w rounded to 6 decimal places? -0.000005 Suppose -8*p - 8000 = -3*p. What is p rounded to the nearest one hundred? -1600 Suppose 2 = -4*t - 2. Let a be 2639986/4 - t/(-2). Suppose 0 = n + 4*s - a, 1258494 = 4*n + s - 1381505. What is n rounded to the nearest one hundred thousand? 700000 Let x = -0.44 - -0.15. What is x rounded to 1 dp? -0.3 Let d = 0.028 - 0.069. Let m = d + 0.0524. What is m rounded to 3 decimal places? 0.011 Let d(g) be the first derivative of -17579*g**4/4 - 2*g**3 + 4*g**2 - 1. Let k be d(-8). Suppose 0*l - 3*l = -k. What is l rounded to the nearest one million? 3000000 Let b = 7880358 - 3880358. Suppose 0*k = -5*k - b. What is k rounded to the nearest one hundred thousand? -800000 Let i(c) = -128993*c**2 - 2*c. Let s be i(2). Let h be (s/(-20))/((-2)/(-10)). Suppose 6*g = -3*m + 2*g + 128988, -3*m = 2*g - h. Round m to the nearest 10000. 40000 Let t = -37.042 + 37. Round t to two decimal places. -0.04 Let w = -5943 + 5939.997. Let l = w + 3. Round l to two dps. 0 Let u = -69 + 35. Let y = 809860873 + -809860838.99999958. Let z = u + y. Round z to 7 dps. 0.0000004 Let s = -92 - -92.0000043. Round s to seven decimal places. 0.0000043 Let w = -17.000086 - -17. What is w rounded to five decimal places? -0.00009 Let s = -54225468 - -54225603.000063. Let r = s - 135. Round r to five dps. 0.00006 Let m = 0 - -2. Suppose -10800 - 46030 = -m*o. Suppose b = 110415 - o. Round b to the nearest ten thousand. 80000 Let w = 173.0535 + -164.05. Let q = w - 9. What is q rounded to 3 dps? 0.004 Let c = 8010024 + 2489976. What is c rounded to the nearest 1000000? 11000000 Suppose 2*p - 5*p = 3, 4*k + 4*p = 12. Suppose 5*g + 81272 = 4*x - x, -108320 = -4*x - k*g. Let i = 34916 + x. What is i rounded to the nearest ten thousand? 60000 Let v be (12/(-21))/((-2)/7). Suppose 3*n = 2*n - v. Let c be 0 - (5200000 + (-2 - n)). What is c rounded to the nearest one million? -5000000 Let o = 10 + 10. Suppose -5*q = -4*j + 9*j - 20, 5*j = o. Let p(k) = -k - 51000. Let s be p(q). What is s rounded to the nearest 10000? -50000 Let q = 577 + -251. Round q to the nearest ten. 330 Let b = -0.00080207 - -0.0008. Round b to seven decimal places. -0.0000021 Let r = 31 + -22. Let v = r - 9.00000224. What is v rounded to seven dps? -0.0000022 Let g = 12 - -50. What is g rounded to the nearest 10? 60 Let c = 986 + -988.838. Let n = c + -0.062. What is n rounded to the nearest integer? -3 Let f = -335 + 213. Round f to the nearest 10. -120 Let d = 10.55 + -7. What is d rounded to one dp? 3.6 Let a(s) = -1 + 2*s - 7*s + 6*s. Let b be a(3). Suppose 14517 - 1334517 = b*q. What is q rounded to the nearest one hundred thousand? -700000 Let n = -0.449 - -0.009. What is n rounded to 1 decimal place? -0.4 Let z = -28546.673 - -28545.67299988. Let q = 1 + z. What is q rounded to seven dps? -0.0000001 Let v = -838.4726 - -1.3726. Let a = -813.122 - v. Let m = a - 24. Round m to 2 dps. -0.02 Let z(o) = -o**2 + 5*o + 4. Let b be z(5). Suppo
{ "pile_set_name": "DM Mathematics" }
he second derivative of r(t) wrt t. 56 Suppose -w + 5*w = -8. Let l be w/(-5) - (-52)/20. What is the first derivative of -5*s - 3*s**2 - l + 5*s wrt s? -6*s Let n = 3 - 2. Suppose 3*b + 4*y = 9, 5*y + n - 10 = -3*b. Differentiate -4 + 2 - b*u**2 + 5*u**2 wrt u. 4*u Suppose 0 = v - 2*v - 3*k, 3*v - 14 = 5*k. What is the third derivative of -x - v*x**2 + x - 8*x**5 + 0*x wrt x? -480*x**2 Let z = -6 + 11. Let p = -2 + z. What is the third derivative of l**3 + 0*l**3 - 5*l**p - 3*l**2 - l**2 wrt l? -24 Let i(m) = 7*m**3 + 6*m - 25. Let l(f) = -13*f**3 - 11*f + 49. Let d(o) = 11*i(o) + 6*l(o). What is the derivative of d(j) wrt j? -3*j**2 Let i(f) = 7*f**5 + f**2 + 45*f. Let d(h) = -22*h**5 - 3*h**2 - 136*h. Let m(y) = -2*d(y) - 7*i(y). Find the second derivative of m(u) wrt u. -100*u**3 - 2 Let t(n) be the second derivative of 4*n**6/5 + 23*n**2/2 + 8*n. What is the first derivative of t(m) wrt m? 96*m**3 Let x = 3 + 0. Find the second derivative of r**3 + 2*r**x + 3*r - r**3 wrt r. 12*r Find the first derivative of -21 + 2*v + 32 - 27*v**2 - 2*v wrt v. -54*v Let h(n) = -17*n**3 + 13*n**2 - 3*n. Let u(j) = -135*j**3 + 105*j**2 - 25*j. Let b(c) = 25*h(c) - 3*u(c). Find the third derivative of b(i) wrt i. -120 Let t(x) be the second derivative of 11*x**7/42 + 4*x**3/3 - 6*x. What is the second derivative of t(c) wrt c? 220*c**3 Let j(z) be the first derivative of -z**4 + z**2 + 2. What is the second derivative of j(o) wrt o? -24*o What is the second derivative of -6*n + 3*n + 0*n + 2*n**3 wrt n? 12*n Suppose 40 = 8*x - 0*x. What is the third derivative of b**5 - 11*b**2 + x*b**5 + 7*b**2 wrt b? 360*b**2 Let d(k) be the first derivative of 23*k**6/6 - 12*k**2 + 35. What is the second derivative of d(m) wrt m? 460*m**3 Let t = 5 - 2. Suppose 2*h = -h + t. Differentiate 0*s**2 + 0 - s**2 - h with respect to s. -2*s Let y(k) be the third derivative of -k**10/50400 + k**6/360 - k**5/15 + 5*k**2. Let t(g) be the third derivative of y(g). What is the derivative of t(b) wrt b? -12*b**3 Let l(k) be the third derivative of -k**8/84 - k**4/8 - 33*k**2. Find the second derivative of l(c) wrt c. -80*c**3 Suppose -5*z + 20 + 4 = -2*w, -3*z = w - 10. Find the third derivative of -5*p**2 + z*p**6 + 4*p**2 - p**6 wrt p. 360*p**3 Let w(y) = y**2 - 7*y - 4. Let i be w(8). Find the third derivative of -5*t**4 + 2*t**6 + 5*t**i + 0*t**4 - t**2 wrt t. 240*t**3 Find the first derivative of -25*h**4 - 5 + 3 + 1 + 7 wrt h. -100*h**3 Let y(w) = -w**4 - 7*w**3 + 14. Let o(z) = -2*z**4 - 6*z**3 + 13. Let f(n) = 7*o(n) - 6*y(n). Find the first derivative of f(b) wrt b. -32*b**3 Let a(x) = x**2 + x + 1. Let i(k) = 2 + 3*k**3 - k - 5*k**2 - 1 - 3 + 1. Let j(w) = a(w) + i(w). Find the third derivative of j(t) wrt t. 18 Let d(t) = 9. Let j(q) = q - 9. Let f(l) = -3*d(l) - 4*j(l). Let z(i) = i**3 + 5*i - 10. Let x(c) = 5*f(c) + 4*z(c). Differentiate x(h) with respect to h. 12*h**2 Let y be (-21)/(-60) - 1/3. Let a(l) be the third derivative of 0 + 0*l**4 + 0*l - y*l**5 + l**2 + 1/3*l**3. Differentiate a(p) wrt p. -2*p Let c(k) be the second derivative of -3*k**4/4 + k**2/2 - 2*k. Differentiate c(b) with respect to b. -18*b Let s(o) = -18*o**4 + 2*o**3 - 5*o**2 + 4. Let h(j) = -36*j**4 + 4*j**3 - 9*j**2 + 7. Let x(z) = 6*h(z) - 11*s(z). What is the third derivative of x(u) wrt u? -432*u + 12 Suppose -x = 5*x - 36. Find the third derivative of -21*y**3 + y**2 + 21*y**3 - 8*y**x wrt y. -960*y**3 Suppose 9 = 3*k - 9. What is the second derivative of 2*x**4 - k*x**2 - 3*x + 6*x**2 wrt x? 24*x**2 Let z(w) = -7 + 2 + 14 + 11*w. Let t be 186/(-14) - (-4)/14. Let l(f) = -5*f - 4. Let q(y) = t*l(y) - 6*z(y). What is the first derivative of q(u) wrt u? -1 Let j(w) be the third derivative of -w**9/28 - w**5/12 - 8*w**2. Find the third derivative of j(q) wrt q. -2160*q**3 Let h be 6/4*(-16)/(-6). Let g(o) be the second derivative of -1/20*o**5 + 2*o + 0*o**2 - 1/12*o**h + 0 + 0*o**3. What is the third derivative of g(u) wrt u? -6 Let r(d) = d**5 + d**3 + 1. Let a(s) = -4*s**5 + 3*s**3 + 6*s + 3. Let b(c) = -a(c) + 3*r(c). What is the second derivative of b(t) wrt t? 140*t**3 Let j = -13 + 19. Find the first derivative of -q**3 + q**3 - 8 - j*q**3 wrt q. -18*q**2 Let a = -12 - -8. Let b = a - -7. Find the second derivative of 3*c**2 + 3*c**3 - b*c**2 + 5*c - 4*c wrt c. 18*c Let d(s) be the second derivative of s**4/12 + 5*s**3/6 - 5*s**2 + 3*s. Let b be d(-7). What is the third derivative of 2*o**4 - 4*o**b - 8*o**2 + 6*o**2 wrt o? -48*o Let p(o) be the second derivative of o**7/280 + o**5/60 - o**3/3 + 4*o. Let w(k) be the second derivative of p(k). What is the second derivative of w(r) wrt r? 18*r Find the first derivative of -2 + 26*d**3 + 12 - 53 wrt d. 78*d**2 Find the third derivative of -24*g**2 - 3*g**2 - 6*g**3 + 19*g**3 + 12*g**2 wrt g. 78 Let x(w) be the second derivative of -w**6/15 - 5*w**4/24 - w**2 + 2*w. Let v(o) be the first derivative of x(o). What is the second derivative of v(i) wrt i? -48*i Let l(a) = -a**2 + 8 - 2*a - 5*a - 6. Let r be l(-7). Differentiate -9*i + i**r - 2 + 9*i wrt i. 2*i What is the first derivative of -6*d - 2 - 1 - 6 wrt d? -6 Let u(d) = 27*d**4 + 5*d**2 + 5*d + 53. Let o(n) = -14*n**4 - 2*n**2 - 2*n - 26. Let t(q) = -5*o(q) - 2*u(q). Differentiate t(z) wrt z. 64*z**3 Let d(w) be the first derivative of 2*w**4 - 15*w**2/2 - 6. What is the second derivative of d(l) wrt l? 48*l Let y be (10/(-4))/(1/(-2)). What is the second derivative of 10*t**y - 5*t - 2*t - 4*t**5 wrt t? 120*t**3 Let g(v) be the first derivative of -6*v**2 - 2*v - 1. What is the first derivative of g(c) wrt c? -12 Suppose 7 = 2*v - 19. Let j = v - 9. What is the second derivative of 3*f - j*f + 2*f**4 + 0*f wrt f? 24*f**2 What is the second derivative of l**2 + 3*l + l - 2*l**2 + 3*l wrt l? -2 Let o = 9 + -11. Let w(d) = -d**4 - 2*d. Let z(u) = u**2 - u. Let c(y) = o*z(y) + w(y). Find the third derivative of c(k) wrt k. -24*k Find the second derivative of -14*s - 6*s**2 + 8*s**2 - 19*s**2 wrt s. -34 What is the third derivative of -59*c**5 + 26*c**5 - 8*c**2 - 6*c**2 wrt c? -1980*c**2 What is the second derivative of -2*o**4 + 12*o + 5*o**4 - 5*o wrt o? 36*o**2 Suppose -5 = 5*q - 80. Let i be (4/(-6))/((-2)/q). What is the third derivative of 3*r**2 - 5*r - r**4 + i*r wrt r? -24*r Let s(p) = p**2 - p + 9. Suppose 3*f = 6*f. Let v be s(f). What is the derivative of -2 + m**4 + 9*m - v*m wrt m? 4*m**3 Find the first derivative of 11*q + 0*q - 3 + 22 wrt q. 11 Let z(d) = d**2 - 11*d - 10. Let h be z(12). What is the derivative of 17*y**3 + 0 - 17*y**3 - h*y**4 + 4 wrt y? -8*y**3 Find the third derivative of 402*b + 10*b**5 + 42*b**2 - 402*b wrt b. 600*b**2 Suppose 2*v = -3*j + 13, -j - j - 13 = -3*v. Let h = 3 + j. What is the second derivative of -4*p - h*p - 4*p**3 + 4*p wrt p? -24*p Find the first derivative of 4 + 13*o**3 - 7*o**3 + 5 wrt o. 18*o**2 Let a(j) = 8*j + 11. Let q(l) = 23*l + 34. Let s(c) = 7*a(c) - 2*q(c). Find the first derivative of s(w) wrt w. 10 Let f = 1 - -1. Let u(h) be the first derivative of 0*h**4 - 2/3*h**3 + 1 + 0*h - 2/5*h**5 + 0*h**f. What is the third derivative of u(x) wrt x? -48*x Let j = 48 - 33. Differentiate -15*o - 3 + j*o + o**3 wrt o. 3*o**2 Let a(n) = n**3 + 7*n**2 - n - 5. Let p be a(-7). Find the second derivative of -5*r - 4*r**3 - 6*r**3 + p*r**3 wrt r. -48*r Let y(j) = 69*j**3 + 21*j**2. Let b(d) = 70*d**3 + 21*d**2. Let w(v) = -7*b(v) + 6*y(v). What is the third derivative of w(i) wrt i? -456 What is the second derivative of 2*t**3 + 2 - 6*t + 10*t**3 - 2 wrt t? 72*t Let m(o) = -o**4 + o - 1. Let h(g) = 8*g**4 + 5*g + 5. Let a(j) = h(j) + 5*m(j). Find the second derivative of a(v) wrt v. 36*v**2 Suppose 6*d = -3*x + d - 13, 0 = 3*x + 3*d + 3. Let c be 0*(-2 + (1 - 0)). Find the third derivative of c*q**2 - q**4 + 0*q**x + 2*q**2 wrt q. -24*q Let c be 1/8 - (-15)/8. Let k(h) be the second derivative of 0*h**3 + 0 - c*h - 1/10*h**5 + 0*h**2 + 1/4*h**4. Find the third derivative of k(m) wrt m. -12 Find the third derivative of -7*w**4 + 0*w**2 + 5*w**4 - 6*w**4 - 2*w**2 wrt w. -192*w Let f(y) be the third derivative of -y**4/12 - y**3 - 3*y**2. Let p be f(-4). What is the third derivative of 4*j**5 - 2*j**2 - 6*j**5 + 0*j**2 + j**p wrt j? -12
{ "pile_set_name": "DM Mathematics" }
- 115*y + 476. Determine p(13). 502 Let h(y) = -92*y**2 + 15999*y + 1575. What is h(174)? 9 Let s(u) = 2*u**3 - 333*u**2 + 1468*u + 1539. What is s(162)? 3159 Let y(a) = 2*a**3 + 76*a**2 + 519*a - 80. Calculate y(-29). 7 Let q(i) = i**3 - 113*i**2 + 231*i - 987. Calculate q(111). 12 Let o(l) = l**3 - 112*l**2 - 1432*l - 3777. What is o(-8)? -1 Let l(s) = s**2 + 204*s + 8813. What is l(-146)? 345 Let k(x) = 7*x**2 - 360*x - 4390. Calculate k(-12). 938 Let b(x) = -79661*x - 79717. What is b(-1)? -56 Let r(p) = -2*p**2 + 155*p - 1410. What is r(62)? 512 Let f(j) = 78*j**3 + 2*j**2 - 405*j - 815. Determine f(-2). -621 Let v(j) = 402*j - 8500. Give v(20). -460 Let a(z) = 7*z**2 + 1016*z + 8205. What is a(-8)? 525 Let z(m) = m**2 - 320*m + 16917. What is z(253)? -34 Let t(g) = -18966*g + 777599. What is t(41)? -7 Let o(j) = -14942*j**2 - 134482*j - 7. Calculate o(-9). 29 Let p(d) = -7826*d - 3748662. Determine p(-479). -8 Let i(v) = -5*v**3 - v**2 + 108*v + 359. What is i(-3)? 161 Let s(f) = -2*f**2 + 16*f + 385. What is s(11)? 319 Let k(q) = 15*q**3 + 13*q**2 + 29*q - 102. Determine k(-5). -1797 Let p(d) = d**3 + 25*d**2 - 49*d - 5. Determine p(-27). -140 Let z(q) = -868*q + 136282. Determine z(157). 6 Let r(c) = -c**2 - 802*c + 34561. Calculate r(41). -2 Let u(q) = -q**3 - 115*q**2 - 257*q - 16287. Give u(-114). 15 Let f(d) = -d**3 + 2253*d**2 + 18032*d - 447. Calculate f(-8). 1 Let y(w) = -76*w + 8615. Determine y(113). 27 Let g(s) = 7566*s - 15086. Give g(2). 46 Let n(p) = 6289*p - 62848. Determine n(10). 42 Let q(x) = 83*x - 677. Give q(10). 153 Let h(o) = o**3 + o**2 - 202*o + 1615. What is h(9)? 607 Let p(h) = -h**3 + 148*h**2 - 4616*h + 4364. What is p(43)? 21 Let h(u) = -170*u + 18361. Give h(108). 1 Let l(r) = -r**3 + 40*r**2 - 169*r - 400. What is l(35)? -190 Let d(h) = -198*h - 46919. What is d(-224)? -2567 Let p(c) = c**3 + 53*c**2 + 327*c - 195. Calculate p(-46). -425 Let a(v) = 10*v**2 + 6167*v + 624458. Determine a(-489). 5 Let j(p) = 181*p**2 - 1182*p - 2162. Calculate j(8). -34 Let o(x) = x**3 + 39*x**2 + 47*x + 39. What is o(-37)? 1038 Let m(v) = 361*v - 67254. What is m(178)? -2996 Let x(l) = 72700*l + 72686. Calculate x(-1). -14 Let c(p) = 7*p**2 - 25210*p - 430607. Calculate c(-17). -14 Let d(n) = -n**3 - 98*n**2 - 171*n - 27282. Calculate d(-99). -552 Let o(i) = -i**3 - 13*i**2 + 410*i + 59. Determine o(-27). -805 Let p(w) = -w**3 - 36*w**2 + 113*w - 223. Give p(-39). -67 Let r(f) = -9*f**2 + 42*f - 178. Give r(7). -325 Let r(t) = -100197*t + 6613023. What is r(66)? 21 Let u(x) = x**3 + 13*x**2 + 329*x + 4562. What is u(-13)? 285 Let b(y) = 15511*y - 341256. Determine b(22). -14 Let b(y) = 3131*y + 203501. Calculate b(-65). -14 Let y(d) = 416*d**2 + 676*d + 2668. What is y(-4)? 6620 Let v(g) = 60*g + 811. Give v(-26). -749 Let o(s) = -s**3 + 51*s**2 - 194*s - 1509. Give o(46). 147 Let y(z) = -274*z - 75705. Give y(-275). -355 Let u(x) = 5289*x**2 - 84627*x + 79. Calculate u(16). 31 Let x(r) = 461*r**2 + 132297*r - 2872. Determine x(-287). -2 Let r(b) = -11*b**3 + 72*b**2 + 76*b + 103. Give r(9). -1400 Let l(o) = -30*o**2 - 621*o + 66. Calculate l(-22). -792 Let p(r) = -4110*r - 44454. Determine p(-12). 4866 Let n(h) = -366*h - 5302. What is n(-13)? -544 Let y(m) = 2357*m - 1576. Determine y(1). 781 Let g(v) = -v**3 + 56*v**2 + 2483*v - 139575. Give g(55). 15 Let t(q) = 2243*q + 15599. What is t(-7)? -102 Let x(r) = -3*r**2 - 55*r - 16. What is x(8)? -648 Let y(k) = 133*k**2 - 1053*k + 1535. Give y(6). 5 Let v(f) = 854*f - 7128. Give v(7). -1150 Let f(n) = 1059*n - 2004. Give f(3). 1173 Let a(j) = 18082*j + 108475. Give a(-6). -17 Let f(k) = -47749*k - 716218. Determine f(-15). 17 Let j(s) = 3*s**2 - 67611*s + 4113104. What is j(61)? -4 Let i(w) = w**3 + 8*w**2 - 119*w + 384. Determine i(4). 100 Let g(k) = 331801*k - 6967802. Calculate g(21). 19 Let u(b) = 18*b - 1060. What is u(16)? -772 Let v(s) = -8*s**3 + 2462*s**2 + 603*s + 4093. Give v(308). 89 Let l(t) = -t**3 - 57*t**2 - 120*t - 5067. Give l(-57). 1773 Let a(v) = 2*v**3 + 13*v**2 + 56*v + 196. What is a(-4)? 52 Let t(n) = -10423*n + 227. Calculate t(0). 227 Let i(t) = 470*t + 376925. What is i(-802)? -15 Let a(v) = 2*v**2 + 1321*v - 16013. What is a(12)? 127 Let w(k) = 973*k - 21825. What is w(22)? -419 Let q(x) = 4051781*x + 4051773. What is q(-1)? -8 Let p(h) = -2772*h - 1275122. What is p(-460)? -2 Let z(d) = -10*d + 5549. Determine z(551). 39 Let l(q) = 8*q**2 - 523*q + 3263. Calculate l(7). -6 Let y(b) = b**2 - 203*b + 3797. Determine y(24). -499 Let g(w) = -721*w - 30307. Determine g(-43). 696 Let u(q) = -q**2 + 30971*q - 123860. Determine u(4). 8 Let j(f) = -6*f**2 - 1834*f - 102864. What is j(-74)? -4 Let u(x) = 71*x**3 - 9938*x**2 - 94*x - 26043. What is u(140)? -3 Let s(f) = 9*f**2 - 45*f - 423. Determine s(-11). 1161 Let c(h) = 93*h**2 + 420*h - 1271. Give c(3). 826 Let s(l) = 2*l**3 - 18*l**2 - 49*l - 35. Calculate s(-2). -25 Let n(z) = -10*z**2 + 197*z - 948. Calculate n(9). 15 Let z(n) = -4*n**3 - 173*n**2 - 1067*n - 828. Calculate z(-36). 0 Let h(c) = -31*c**2 + 598*c - 10. Give h(-2). -1330 Let b(u) = u**3 - 24*u**2 + 138*u + 200. Calculate b(20). 1360 Let h(n) = 3*n**3 + 11*n**2 + 926*n + 1833. Give h(-2). 1 Let l(s) = 13697*s - 137689. Give l(10). -719 Let s(m) = -m**3 + 10*m**2 + 10112*m - 81037. Determine s(8). -13 Let h(s) = -s**3 - 23*s**2 + 10*s + 202. Give h(-12). -1502 Let n(k) = -1388*k - 11252. Give n(-8). -148 Let g(d) = d**3 + 132*d**2 + 634*d + 199. What is g(-127)? 326 Let j(u) = 579*u + 281389. What is j(-486)? -5 Let t(k) = -262*k**2 + 329*k + 160. Give t(2). -230 Let i(n) = 3*n**3 - 229*n**2 + 72*n + 432. What is i(76)? 128 Let t(r) = -r**2 - 831*r - 18579. What is t(-23)? 5 Let v(l) = -4*l**2 + 496*l + 2007. Calculate v(-4). -41 Let s(n) = -2*n**3 + 44*n**2 + 14*n - 307. Calculate s(22). 1 Let t(p) = -585*p**2 + 4130*p - 240. What is t(7)? 5 Let h(n) = -n**2 - 62*n + 72. Determine h(-45). 837 Let z(w) = -411*w - 81786. Determine z(-199). 3 Let c(q) = 2*q**3 - 8*q**2 - 86*q + 48. Calculate c(-5). 28 Let i(z) = z**2 + 39800*z + 397926. Calculate i(-10). 26 Let q(b) = 29347*b - 58710. Give q(2). -16 Let n(k) = -199*k**3 - 16*k**2 + 5*k. What is n(2)? -1646 Let q(z) = 538*z + 1996. Determine q(-7). -1770 Let b(k) = -4*k**3 - 2534*k**2 - 3793*k - 796. Give b(-632). -164 Let y(r) = -5558*r + 49797. Determine y(9). -225 Let u(l) = -15*l**2 + 793*l + 14206. Give u(67). 2 Let a(c) = c**2 - 1181*c + 91219. Calculate a(83). 85 Let h(t) = -12660*t - 379813. Determine h(-30). -13 Let t(d) = -63*d - 4586. Give t(-61). -743 Let m(h) = h**2 - 82*h + 816. Give m(11). 35 Let i(y) = -1487*y + 50564. Give i(34). 6 Let a(u) = -2*u**3 - 578*u**2 - 1720*u - 499. What is a(-286)? 645 Let b(y) = 2*y**2 + 533*y + 16956. Calculate b(-37). -27 Let k(c) = -4*c**3 - 130*c**2 + 64*c - 67. Give k(-33). -1 Let z(k) = -2*k**3 + 5*k**2 - 2277*k + 9126. Calculate z(4). -30 Let j(g) = 3100*g - 248003. Calculate j(80). -3 Let s(x) = 18*x**2 - 1498*x + 18. Determine s(83). -314 Let b(f) = -2483*f - 15282. Determine b(-6). -384 Let b(t) = t**3 + 20*t**2 + 36*t - 768. Determine b(-20). -1488 Let n(h) = 3*h**3 - 25*h**2 - 49*h + 459. Calculate n(8). 3 Let f(c) = 112*c**3 + 40*c**2 + 27*c - 6. Determine f(-1). -105 Let b(x) = -1232*x**2 - 2469*x - 4. What is b(-2)? 6 Let c(s) = 18*s - 5067. Determine c(294). 225 Let u(r) = -979*r + 12378. Calculate u(10). 2588 Let b(a) = 871*a - 23445. Calculate b(27). 72 Let y(a) = -3*a**2 - 1299*a - 61371. What is y(-54)? 27 Let x(g) = -2793*g - 603301. Give x(-216). -13 Let t(k) = -3*k**3 + 4*k**2 + 50*k + 49. Determine t(-4). 105 Let h(p) = p**2 - 825*p + 54175. Give h(72). -41 Let p(f) = 4*f**2 + 6801*f - 47622. What is p(7)? 181 Let x(z) = -1375*z - 79784. Determine x(-58). -34 Let t(y) = 14695*y - 470175. Determine t(32). 65 Let x(i) = -2*i**2 + 475*i + 5534. Determine x(-12). -454 Let v(t) = -37230*t - 297879. What is v(-8)? -39 Let t(z) = -2*z**3 + 74*z**2 + 79*z - 30. Determine t(38). 84 Let b(f) = 651*f**3 + 3906*f**2 + 27*f + 93. Calculate b(-6). -69 Let n(u) = -2*u**2 - 30993*u - 495365. What is n(-16)? 11 Let p(m) = 79*m**2 + 268*m - 8173. Determine p(-12). -13 Let d(v) = -v**2 + 945*v + 9507. What is d(-10)? -43 Let v(y) =
{ "pile_set_name": "DM Mathematics" }
d without replacement from {o: 1, y: 1, u: 1, w: 2, i: 2}. Give prob of picking 1 i and 1 u. 2/21 Two letters picked without replacement from {h: 1, z: 2, k: 1, f: 2, l: 1, v: 1}. What is prob of picking 1 l and 1 h? 1/28 What is prob of picking 1 y and 1 n when two letters picked without replacement from {y: 1, n: 1, b: 1, d: 2, x: 2, p: 2}? 1/36 What is prob of picking 3 r when three letters picked without replacement from frerrrebrbrjrr? 2/13 Two letters picked without replacement from cnfjn. Give prob of picking 1 n and 1 f. 1/5 What is prob of picking 2 m, 1 w, and 1 z when four letters picked without replacement from {m: 1, w: 12, e: 1, z: 3, c: 2}? 0 What is prob of picking 1 m and 1 h when two letters picked without replacement from hhhaaahahmhah? 7/78 Four letters picked without replacement from vyybyxxvyx. What is prob of picking 1 b and 3 y? 2/105 Four letters picked without replacement from {y: 2, t: 7}. Give prob of picking 4 t. 5/18 Three letters picked without replacement from {m: 5, z: 2}. Give prob of picking 2 z and 1 m. 1/7 Four letters picked without replacement from {d: 13, r: 6}. Give prob of picking 3 r and 1 d. 65/969 Three letters picked without replacement from lllllldddl. Give prob of picking 3 l. 7/24 Two letters picked without replacement from {x: 1, g: 1, i: 1, e: 1, w: 2, c: 2}. What is prob of picking 1 g and 1 e? 1/28 What is prob of picking 3 u and 1 w when four letters picked without replacement from wuwuxxuuux? 2/21 What is prob of picking 2 z when two letters picked without replacement from zyyyzyyyzyyyyyzyyyyy? 3/95 What is prob of picking 2 k when two letters picked without replacement from kknk? 1/2 Two letters picked without replacement from {l: 8, j: 2, u: 7, b: 1}. Give prob of picking 1 u and 1 b. 7/153 What is prob of picking 3 r when three letters picked without replacement from {u: 7, r: 6}? 10/143 What is prob of picking 1 s and 1 t when two letters picked without replacement from stravagtasvvrrsv? 1/20 Four letters picked without replacement from {k: 3, x: 1, l: 3, n: 1, o: 3}. Give prob of picking 3 o and 1 x. 1/330 Three letters picked without replacement from {m: 3, o: 1, j: 2, l: 1, r: 5}. Give prob of picking 1 o, 1 m, and 1 l. 3/220 Calculate prob of picking 4 h when four letters picked without replacement from xxshcuhcxhvsvhv. 1/1365 Three letters picked without replacement from ataqaaaantaamndaaaaq. Give prob of picking 2 n and 1 q. 1/570 Four letters picked without replacement from ccccc. What is prob of picking 4 c? 1 Four letters picked without replacement from qqqqqhdpd. Give prob of picking 1 p, 1 h, and 2 q. 5/63 Calculate prob of picking 1 z and 1 x when two letters picked without replacement from rzx. 1/3 Three letters picked without replacement from {e: 13, p: 5}. What is prob of picking 2 e and 1 p? 65/136 Two letters picked without replacement from {s: 1, u: 1, g: 2, t: 1}. What is prob of picking 1 u and 1 g? 1/5 What is prob of picking 1 x and 1 l when two letters picked without replacement from {l: 1, h: 2, j: 8, x: 2, d: 2}? 2/105 Three letters picked without replacement from {w: 1, v: 1, p: 1, y: 1, f: 2, n: 1}. What is prob of picking 2 f and 1 w? 1/35 Two letters picked without replacement from lllxxllxeeex. Give prob of picking 1 x and 1 e. 2/11 Calculate prob of picking 1 r, 1 o, and 2 a when four letters picked without replacement from {a: 6, q: 2, j: 2, r: 3, o: 5}. 5/68 What is prob of picking 2 g, 1 o, and 1 f when four letters picked without replacement from {o: 2, f: 1, g: 2}? 2/5 Three letters picked without replacement from sosbmssshbossmism. What is prob of picking 1 o, 1 h, and 1 b? 1/170 Calculate prob of picking 1 e and 2 g when three letters picked without replacement from nfiiggfxniex. 1/220 Calculate prob of picking 1 d, 1 b, and 1 p when three letters picked without replacement from {b: 2, d: 1, p: 14}. 7/170 Two letters picked without replacement from {y: 9, c: 5, o: 3, h: 3}. What is prob of picking 1 y and 1 c? 9/38 What is prob of picking 1 q and 1 e when two letters picked without replacement from ayaffffeqfyqqjf? 1/35 What is prob of picking 2 w when two letters picked without replacement from {o: 6, w: 6}? 5/22 Two letters picked without replacement from {e: 8, w: 2, b: 4, n: 1}. What is prob of picking 2 w? 1/105 Four letters picked without replacement from {x: 2, d: 2, e: 4, t: 2, q: 3}. What is prob of picking 2 x and 2 e? 6/715 Three letters picked without replacement from oqiqqoooqoiiqoqiqio. Give prob of picking 2 o and 1 q. 49/323 Four letters picked without replacement from kzqqzqzqzkqqqzzkqz. What is prob of picking 2 z and 2 k? 7/340 Calculate prob of picking 2 e and 1 h when three letters picked without replacement from {a: 4, m: 1, q: 1, e: 4, h: 5}. 6/91 Two letters picked without replacement from owtootgttoto. What is prob of picking 1 g and 1 o? 5/66 Two letters picked without replacement from {z: 5, r: 4, s: 6}. Give prob of picking 2 z. 2/21 Calculate prob of picking 3 u and 1 y when four letters picked without replacement from uuuyyyyuuuyu. 35/99 Two letters picked without replacement from {h: 1, v: 1, i: 1, d: 1, c: 1, g: 2}. Give prob of picking 1 i and 1 c. 1/21 Two letters picked without replacement from {q: 6, n: 1, m: 3, d: 3}. What is prob of picking 2 q? 5/26 Two letters picked without replacement from {w: 7, u: 4}. Give prob of picking 1 u and 1 w. 28/55 Calculate prob of picking 2 r when two letters picked without replacement from {r: 8, b: 5}. 14/39 What is prob of picking 2 l when two letters picked without replacement from {l: 2, t: 5}? 1/21 What is prob of picking 3 u and 1 a when four letters picked without replacement from {a: 1, q: 6, u: 8}? 8/195 Three letters picked without replacement from wwiixibwbixbx. Give prob of picking 1 i, 1 w, and 1 x. 18/143 Three letters picked without replacement from {e: 5, t: 1, j: 5}. Give prob of picking 1 j and 2 e. 10/33 What is prob of picking 2 c and 1 h when three letters picked without replacement from ddhddcchddd? 2/165 Two letters picked without replacement from {y: 2, j: 2, k: 2, d: 1, b: 1, o: 1}. Give prob of picking 2 y. 1/36 Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {t: 1, y: 1, k: 10, d: 3, u: 1, m: 2}. 20/153 Four letters picked without replacement from iwuwiuuuuuiiwii. What is prob of picking 1 w and 3 i? 4/91 What is prob of picking 1 r, 1 i, and 1 g when three letters picked without replacement from iiiiigrgriii? 8/55 What is prob of picking 1 c, 1 p, and 1 g when three letters picked without replacement from {g: 7, c: 2, p: 6}? 12/65 Calculate prob of picking 1 l, 1 n, and 1 a when three letters picked without replacement from anbabnslt. 1/21 Three letters picked without replacement from qqqsqqqqlqqqvsdsdqd. What is prob of picking 1 d, 1 l, and 1 q? 11/323 Two letters picked without replacement from vbobvfu. What is prob of picking 1 v and 1 f? 2/21 Two letters picked without replacement from {u: 3, q: 1, g: 1, f: 4, e: 1, h: 4}. Give prob of picking 1 f and 1 h. 16/91 Four letters picked without replacement from {h: 1, o: 2, w: 5, r: 1, i: 2, g: 4}. Give prob of picking 1 g, 1 h, 1 i, and 1 w. 8/273 Two letters picked without replacement from {p: 1, z: 3, j: 7, r: 5}. Give prob of picking 2 z. 1/40 Calculate prob of picking 2 c when two letters picked without replacement from {g: 2, c: 4, z: 5, l: 4, m: 2}. 3/68 What is prob of picking 1 j and 1 q when two letters picked without replacement from {j: 2, q: 1, h: 4, m: 4}? 2/55 Two letters picked without replacement from {d: 3, e: 1, t: 1, m: 2, y: 1, r: 4}. What is prob of picking 1 d and 1 e? 1/22 Four letters picked without replacement from {z: 3, u: 4, g: 4}. Give prob of picking 4 u. 1/330 Three letters picked without replacement from mmmzmmmm. What is prob of picking 2 m and 1 z? 3/8 What is prob of picking 2 a and 1 c when three letters picked without replacement from {c: 2, x: 2, a: 4}? 3/14 What is prob of picking 1 w and 1 z when two letters picked without replacement from {w: 1, y: 4, z: 6}? 6/55 Calculate prob of picking 1 i and 2 z when three letters picked without replacement from {e: 3, r: 2, i: 2, z: 2}. 1/42 Four letters picked without replac
{ "pile_set_name": "DM Mathematics" }
27/(-30)*(-80)/60? 6/5 What is the value of (-5 - (-10)/4)*2? -5 Calculate ((-2)/(-20))/(4/(-8) + 1). 1/5 Evaluate 8/(-16)*(-57)/38. 3/4 (-1 - -5)*4/(-8) -2 (-34216)/8372 - (1 + (-25)/23) -4 Calculate 2/(-12) + (-123)/18 + 2. -5 What is ((-2)/(-12))/((-5)/15)*-4? 2 What is the value of (-8)/(-90) - (300/(-15))/(-100)? -1/9 What is the value of 5 + (-12)/(-18) + 14/(-21)? 5 What is ((-18)/(-48))/(2 + 12/(-4))? -3/8 What is the value of 876/(-1728) - (-2)/32? -4/9 What is 108/(-352) - 2/(-11)? -1/8 9 + 4 + (-4284)/324 -2/9 What is 32/4 - 26/(-26)? 9 What is the value of (-65)/(-10)*16/52? 2 Evaluate ((-1)/(-10))/(-4*9/216). -3/5 Calculate 36/135 - (-1 + (-26)/(-30)). 2/5 What is the value of (10/(-3))/1 - (-91 - -88)? -1/3 What is 2 - -6*(-12)/18? -2 What is 10/(-4) + (-30)/(-20) - 1? -2 What is ((-112)/(-10))/(-8) + 9/6? 1/10 What is the value of (-48)/15 + 16/80? -3 What is the value of (-5 + 13 - 2)/((-14)/(-1))? 3/7 Calculate (3 + 1)/(68/(2 - 0)). 2/17 (12/(-36)*-1)/((-33)/(-36)) 4/11 (-52)/(-13) - (-85)/(-20) -1/4 (-8)/36 - (-49 + 49) -2/9 What is 2/(-4)*2 + (6 - -1)? 6 1/4 + -1 - (34 + -35) 1/4 What is 60/(-30) + 4/(6/(-3))? -4 Calculate (7 + 242/(-36))*(-8)/10. -2/9 What is ((-85)/15 - -6)*-9? -3 Calculate 2/((42/(-63))/((-4)/30)). 2/5 Evaluate (-12)/54 + (-29)/(-9). 3 What is the value of 2/(-11) - (-682)/(-242)? -3 1/(-8 - (-4)/2 - -7) 1 What is the value of ((-7)/3)/(288/432)? -7/2 Evaluate (-6 - -9)/3 - 3. -2 What is (-2 + 3)/(((-8)/10)/4)? -5 Evaluate (5 - (-1)/(-2))*4/30. 3/5 Calculate (3/9)/(6/(5 + -59)). -3 Calculate -8 - (-19 + (7 - 10) + 3). 11 Calculate 1*2*8/(-48). -1/3 (-1254)/(-1710) + (-2)/5 1/3 What is (1 + -2)/(2*6/(-12))? 1 Evaluate (1*-3 - 1)*51/510. -2/5 Calculate (-4)/(-28)*(-224)/48. -2/3 Evaluate (0 - 1) + 1 + (-6)/(-42). 1/7 Calculate 3/(-5) + ((-1056)/(-40))/(-11). -3 What is 3 - ((-13)/(-26))/(1/2)? 2 Calculate -1 + -3 - (-3 + 15/(-90)). -5/6 Calculate 21/(-34) - (-42)/357. -1/2 What is -6*(-5 + 13/3)? 4 Calculate ((-1)/2)/(72/984) - -6. -5/6 Calculate 20/(-6 - -16) + (0 - 0). 2 Calculate (-26)/(-24) + 8/(-24). 3/4 What is the value of -2 + 1 - (-2)/((-4)/10)? -6 What is (-5)/(-15) + (-70)/(-15) + -1? 4 Calculate -2*1 - 2 - (-2730)/702. -1/9 Evaluate (-1)/(-14) + (-5)/2 + 2. -3/7 Calculate 11*(-3)/(-18) - 9/6. 1/3 Evaluate 3*20*(-7)/(-42)*-1. -10 Calculate 2/((-122)/(-14) + -9). -7 (13/(-39))/(2/12) -2 65/10 + -2 + -3 3/2 Calculate ((-3)/(-10))/((-23)/(-46)). 3/5 What is the value of (4/(-6))/(4/(-6) + -3)? 2/11 Evaluate -1 + (1 - (-8)/(-12) - 0). -2/3 What is the value of ((54/(-24))/3)/((-3)/(-2))? -1/2 What is 3/(-72) + 12/(-96)? -1/6 Evaluate (-6)/(-4)*(-21)/(756/96). -4 Calculate 1 + -14 - (-24 + 13). -2 Evaluate (-2 + (-63)/(-27))/(-2). -1/6 24/(-20)*((-88)/12 + 4) 4 What is the value of (-12 + 1634/133)/((-9)/7)? -2/9 Evaluate -5 - (-27)/((-135)/(-50)). 5 Calculate 3/33*(-6)/(-3). 2/11 What is the value of -2 + 0 + 4/2 + 2? 2 What is the value of ((13/(-39))/((-4)/(-6)))/(-2)? 1/4 Evaluate 6/33 - 1539/297. -5 16/6 - (-3)/(-1) -1/3 (1 - 8/4)*(10 + -7) -3 Evaluate 66 + -76 - 49/(-5). -1/5 Evaluate ((-10)/(-20))/((-3)/2). -1/3 What is the value of 1*3 + (-88)/22 - -4? 3 Evaluate ((-6)/(-5))/(5 + (-46)/10). 3 What is 33/(-21) + 1 + 2 + -1? 3/7 Evaluate 24/84 - 9/(126/(-52)). 4 11/121 - 549/(-495) 6/5 10/(-28) - (-1)/(-7) -1/2 64/96*3/8 1/4 What is the value of 3/(-3) - (-2 + 36/63)? 3/7 What is the value of (-8)/6*(-153)/68? 3 3*5 - (-15)/(330/(-154)) 8 What is (1 - 0)/(8/(8/(-5)))? -1/5 -1*(5 - 249/51) -2/17 Evaluate (-4)/(-14) - (-139)/973. 3/7 What is the value of 3/(2 - -7)*(3 + -18)? -5 What is the value of 0 + -1 - (-10 - -8)? 1 What is the value of 30/25*-4*3/12? -6/5 Calculate ((-4)/(-42)*12)/(36/14). 4/9 What is (4 - (3 + -1)) + 66/(-27)? -4/9 1*(1 + -5 + 6) 2 What is the value of (-8)/196 + (-3492)/882? -4 Calculate 15*4*3/108*3. 5 What is (-9)/6*(5/(-15) - 3)? 5 Evaluate ((-2)/(-8))/(14/168). 3 (1/6*2)/(7/(-21)) -1 (76/24 - 3) + (-26)/108 -2/27 What is the value of (-5)/(-4) + 31/(-124)? 1 What is ((-1)/(-1) + 1)/(16/12)? 3/2 Calculate -3 + (-16)/(-5) + (-7)/(-35). 2/5 Evaluate -2*(-1)/8 - (-21)/252. 1/3 336/60 - 6/10 5 What is (6/12)/((-7)/2)? -1/7 Calculate ((57/(-266))/(8/14))/3. -1/8 What is (-228)/42 + (-6)/(-14)? -5 What is the value of (-28)/(-10) - 14/(-70)? 3 (-130)/50 - (-1 - (-1 - -2)) -3/5 (-21)/(-3) + -2 + 44/(-10) 3/5 Evaluate ((-4)/10)/(498/415). -1/3 (-44)/(-8)*80/55 8 What is the value of (2/3)/(4/6)? 1 (-10)/(-15)*-6*(-6)/12 2 What is the value of ((-32)/(-80))/(2/25)? 5 Evaluate (-341)/121 - (-2 + -1). 2/11 What is (-5)/2*(790/150 + -5)? -2/3 Calculate (-40)/56 + (2 + 1 - 2). 2/7 What is the value of -1 - ((-1)/11 - (-390)/660)? -3/2 Evaluate 0/2*3/(-3). 0 What is (-4)/(-18)*(42/(-12) - -2)? -1/3 (-1 + (-6)/2)/(-10) 2/5 Evaluate 2/(-5) + 0 - 2/(-10). -1/5 Calculate -3 + 4 + -9 - -13. 5 What is the value of 1/(-35) + (-6)/(-150)*15? 4/7 What is 1 + 3/(-36)*10? 1/6 8/10 - (-297)/(-165) -1 What is (-6 + 10)/((-4)/12*-3)? 4 Calculate 3 + (-15)/(-9 - -14). 0 Calculate (-1 + -2)*1 - -2. -1 Evaluate (-6)/(-5)*6*10/12. 6 Calculate 31/(-28) - (-76)/304. -6/7 Calculate (18/4 + 0)/(14 + -8). 3/4 -2*(-23)/((-322)/63) -9 What is ((-4)/30)/(4 + 208/(-65))? -1/6 Calculate ((-38)/19)/((-4)/(-8)). -4 Calculate (-1)/2*(7 - 7). 0 Evaluate 4/(-6) + 62/(-15) + 5. 1/5 (-5 - 2) + 45 + -42 -4 Evaluate 6 - ((-12)/20 + (-24)/(-15)). 5 (-1)/(-4)*152/(-380) -1/10 What is the value of (4/32)/((-7)/4 - -2)? 1/2 What is the value of (3 + -8 + 11)*1/4? 3/2 6/(-15)*6/(5 + -11) 2/5 Calculate 18*(-10 - (-1012)/99). 4 What is (2 - 2 - (-6 + 11))*-1? 5 (-6 + 25/5)/(4 - 0) -1/4 What is 472/(-295)*10/(-8)*2? 4 Evaluate 6 - (-1 + (-174)/(-48) - -3). 3/8 Evaluate (2/((-20)/10))/((-6)/(-3)). -1/2 Evaluate -2 + 3 + 7/(-189)*21. 2/9 Calculate (2/34)/(0 + 9/(-18)). -2/17 What is the value of (363/(-110) - (-1)/(-5))*-2? 7 What is 1/(1 - 8/(-6))? 3/7 ((-4)/10)/2*10/28 -1/14 Evaluate 8 + 9/((-216)/208). -2/3 Evaluate 28/(-16) + 3/4. -1 What is 6 - 0 - (4 + -4)? 6 What is 1*-6 + 1*(-2 + 4)? -4 Calculate ((-8)/160)/(60/(-25) + 2). 1/8 ((-10)/20)/((-2)/(-16)) -4 Evaluate (-114)/54*-2 + 6/(-27). 4 What is ((-2)/(-2))/(-1) - 92/(-161)? -3/7 What is 760/125 + -7 + (-692)/(-100)? 6 Evaluate ((-2)/8)/(7/84). -3 What is (-697)/170 + 3/30? -4 Evaluate (35/(-6) - -4) + 21/(-42). -7/3 -2 + (-17)/(255/(-36)) 2/5 What is the value of 10/135*(-135)/(-60)? 1/6 What is (-4)/(-8 - -3 - -3)? 2 Evaluate ((-14)/((-784)/(-6)))/((-1)/(-4)). -3/7 Evaluate 32/(-7) + ((-72)/42)/4. -5 Evaluate (-2)/10*(-2)/1. 2/5 Evaluate ((-80)/140)/(4/(-14)). 2 What is the value of (-1)/(17 - 16 - 2*1)? 1 Calculate 1/(3/10)*24/(-20). -4 (-9)/(-12)*(-7)/(21/2) -1/2 Calculate (-1)/6 + (-4 - 57/(-18)). -1 Evaluate ((-21)/(-35))/1*15 + -2. 7 What is the value of 6/(-24)*((-27)/15 + 1)? 1/5 What is the value of ((-57)/38)/(2/8)? -6 What is the value of 7/(-21) + 88/48? 3/2 Evaluate (3 - (-30)/(-9)) + (-56)/12. -5 Calculate (-2*(-4)/(-32))/(2/(-4)). 1/2 What is (4/8)/(2/2) + -1? -1/2 Evaluate 0/9 - -1*2. 2 12/(-1)*(46/6 - 8) 4 20/25*6/8 3/5 (-2)/(-6)*15 - 10 -5 What is (-8)/(-14) - (7 - 6)? -3/7 Evaluate ((-48)/40)/(-3 - 4/(-20)). 3/7 (0 + -2)/(48/(-9)) 3/8 ((-13)/6)/1 + (-315)/(-210) -2/3 Calculate (18/24)/(1/(-16)*-6). 2 Calculate -22 + 15 - (-163)/23. 2/23 (0 - (-40)/(-12))*3/2 -5 Evaluate 6*((-66)/12)/(-11). 3 What is 5/(-6)*20/(-25)? 2/3 Calculate (-1 - (-4)/6)*0. 0 (-22)/(-30) - (12/(-18) - -1) 2/5 Calculate (-56)/26 + 3 + (-6)/6. -2/13 (-12)/102 + 2 - 2 -2/17 Calculate -5 + 6 + -3 + 9/4. 1/4 (-70 + 68)*(0 - 2) 4 (-4)/5*(-20)/88 2/11 (-5)/5*1/7*7 -1 Calculate 4/(0 + -8) + (-55)/(-22). 2 Calculate (-2)/18*(10 + -7 + -1). -2/9 (-592)/(-576) - 2/(-9) 5/4 What is the value of ((-64)/80)/(12/10 - 1)? -4 6/1*((-54)/(-12) - 4) 3 -2*(-4 + 21/14) 5 (5 - -3)*2/(-4) - -5 1 What is the value of 26/104 + 19/(-44)? -2/11 Calculate (-5 - 55/(-15))*2/(-16). 1/6 What is (((-8)/(-6))/(-1))/(27 + -33)? 2/9 What is the value of (-112)/(-84)*3/2? 2 Calculate (-18)/(-45)*-16 - 4/(-10). -6 What is 3/6*3/(-6)? -1/4 Calculate -12 - (7 - (19 - -8)). 8 Calculate -1*4/(-9) - 3663/5994. -1/6 Evaluate 6/(-15) + ((-2712)/(-330) - 8). -2/11 (3/(-12)*4)/(-1) 1 What is the value of 264/(-2992)*4/
{ "pile_set_name": "DM Mathematics" }
1. Let u(v) = 7*v + 77. Let k be u(-23). Let j = 83 + k. Which is the nearest to 0? (a) j (b) n (c) 0.4 c Let d = -0.099 - -0.299. Which is the nearest to 1? (a) d (b) -33 (c) 4 a Let t be 6/(-7)*(-1148)/1107. What is the nearest to 1/5 in 3/8, t, -2/7? 3/8 Suppose 3*u - 5*t + 3*t - 3 = 0, 8 = 4*u - 4*t. Let b = -238.3 + 238. What is the closest to -0.1 in b, 3, u? b Let d be 506/(-460) - (-3)/2. Which is the closest to -29? (a) d (b) 0.1 (c) 2 b Let t(g) = -g**2 + 14*g - 6. Let q be t(13). Suppose 5*d + 22 = 3*k - 5, -3*d - 4*k = -q. Let v = -2.5 + 2. What is the closest to 0.1 in 4, v, d? v Let a(z) = -z**3 - 27*z**2 + 2*z + 55. Let k be a(-27). What is the nearest to k in -0.1, 1, 3? 1 Let g = 41/84 + 1/12. Suppose -i + 1 = -0*i. Let o = 7.37 + -7.47. Which is the nearest to o? (a) -5 (b) i (c) g c Let l be 1/3 - 8/6. Let u = -169 - -1523/9. Suppose -5*z + 108 - 83 = 0. Which is the nearest to -1/2? (a) u (b) l (c) z b Let i = 175 - 332. Let r = i + 142.2. Let j = 15 + r. What is the closest to j in -2, 2, 0.4? 0.4 Let g = -113.5 - -68. Let d = 45 + g. What is the closest to 0.1 in d, 8, -1/5? -1/5 Suppose 0 = 18*s - 0*s - 234. What is the nearest to s in -2, -1/5, -1/3? -1/5 Let z = -8 + 4. Let r be -1 + 1 - 1/(-3). Suppose -o = -4*d + 23, 3 = 5*o + 5*d - 7. What is the closest to r in z, o, 2/7? 2/7 Let w = 52 - 51. Suppose 3*x + 2 = -w. What is the closest to x in 0, 5, -1/4? -1/4 Let u = -64.1 - -63.1. Let i = 49 + -33. What is the closest to u in i, -2/9, 0? -2/9 Let j = -10.985 - -0.085. Let d = j + 11. What is the nearest to 3 in -4, 0.2, d? 0.2 Suppose -35*p + 34*p - 1 = 0. Which is the nearest to p? (a) 0.1 (b) 5 (c) -4 a Let n = 0.061 + 5.939. Let l = n + -1. Let p = 0.1 + 0. What is the nearest to -3 in p, 0.3, l? p Let w = -3.8 - -3. Let n = -1.03 - w. Let o = -0.03 - n. What is the closest to o in -1, -2/11, -0.5? -2/11 Let i = 0.719 + 1.281. What is the closest to -1 in i, 11.5, 0.5? 0.5 Let o be 21/(-35)*((-56)/18 + 2). Which is the nearest to -0.3? (a) o (b) 1 (c) -2/5 c Let w = 439 - 443. Which is the nearest to 1? (a) w (b) 20 (c) 4 (d) 5 c Let u = 0.1 - 0.3. Let l = 1/578 - 581/1734. What is the nearest to u in 0.01, l, 1? l Let b = 16.05 + -16. Let f = 0.05 - b. What is the closest to 2/7 in 0.5, f, 0.4? 0.4 Let l = -1.19 + 60.19. Let w = 55 - l. Let u = -0.09 - -0.49. Which is the closest to 0.1? (a) u (b) w (c) 5 a Let l = 0.1 - -0.1. Let h = 2.4 + 2.7. Let y = h + -7.1. What is the nearest to 1/2 in 4, y, l? l Let r = -40448/222343 - -2/20213. Let u = -6/29 - -88/145. What is the nearest to -2 in u, r, 0.2? r Let t = 1.24 + -1.19. Let r = -0.2 + 0.05. Let k = r - t. What is the closest to 2 in -1, k, 1/6? 1/6 Let l = -781 + 811.55. Let k = 0.45 + l. Let m = 30 - k. Which is the nearest to m? (a) 3 (b) 2/11 (c) 0.6 b Let p = 3/83 - 113/830. Let t = 26 - 24. Let v = -0.02 + -0.98. What is the closest to t in v, -4, p? p Suppose 0 = 5*h - 8*h + 42. Let f = 17 - h. Let x = -0.04 + 0.14. Which is the nearest to x? (a) -1/7 (b) 5 (c) f a Let b(g) = -18*g - 27. Let k be b(-2). What is the closest to 30 in k, 4, 0.3? k Let s(d) = -d**3 - 6*d**2 + 6*d. Let x be s(-7). Let v be 2/x - 330/(-70). Which is the nearest to -2/7? (a) 5/2 (b) -0.2 (c) v b Suppose -2*m + 0*m = 10. Suppose -2*v = i - 735 + 726, -4*i + 22 = v. Which is the nearest to -3? (a) 0 (b) m (c) i b Let n = -907 - -916. Which is the nearest to n? (a) 1/3 (b) 2/3 (c) -2 b Let v = -338.02 + 338. What is the closest to 0 in 2, v, 1/4, -1/5? v Let d = 22 - 26. Let l = -3.3 - -1.3. Let j = 9 + l. Which is the nearest to j? (a) -3 (b) d (c) -0.4 c Suppose -1 + 5 = g. Let w = 32 - 32. Let n be w/(-2) - (12/9 - 3). Which is the nearest to -2/5? (a) g (b) n (c) 0.3 c Let b = 24 + -40. Let p = b - -17. Let j = -7 - -3. What is the closest to -0.1 in -2, j, p? p Let k be 1/(-4) - 1/(-36). Let s = -1.72 + 1.52. Let w be 1/3*(-36)/9. What is the closest to w in 0.1, s, k? k Let d = 0.1 + 0. Let n be (-40)/16*(-4)/(-55). Which is the nearest to 0? (a) -1/6 (b) n (c) d c Let s(i) = -i**2 - 21*i + 350. Let g be s(11). Which is the nearest to -4? (a) -5 (b) g (c) -2/7 a Let q(g) = -g + 3. Let s be q(4). Let z = 18 - 17.6. Which is the nearest to s? (a) z (b) -5 (c) 2/9 c Let r = 24.4 - 0.4. Let i = r - 23.5. Which is the nearest to 0.2? (a) 6 (b) i (c) -0.2 b Let g = 1.2 + -1. Let v = -116/135 - -7/27. What is the closest to g in 0.2, -3, v? 0.2 Let q = 1.21 + -6.21. Let n(i) = -3*i**3 - 2*i**2 - i. Let t be n(-1). What is the nearest to t in 0.5, 3, q? 3 Let v = -700 - -702. What is the nearest to 0 in -0.02, -6, v? -0.02 Let q = -0.7 + 0.7. Let x(g) = -3*g + 20. Let m be x(6). Which is the nearest to q? (a) -3 (b) 4 (c) m c Let l = -2.3 - -6.3. Let k(h) = h - 3. Let p be k(2). Which is the nearest to -1? (a) l (b) 3 (c) p c Let u(v) = -v - 2. Let o be u(-2). Let p be 264/26 + -10 + 5/650*-46. Which is the closest to o? (a) -1/4 (b) p (c) 19 b Let f = 0.0593 + -0.1093. What is the closest to -0.1 in f, -5, -0.3? f Let k be (-6 + (-120)/(-16))*4/6. Which is the nearest to 1.4? (a) -5 (b) -3 (c) k c Let u = 993/17423 - 4/917. What is the closest to -1 in -5/3, -3, u, -3/5? -3/5 Suppose 0 = 5*f - 3*b + 2 + 8, -5*b = 5*f + 10. Suppose -2*c + 108 = 2*v - 4*v, -120 = 2*v - 5*c. Let u = v + 45. What is the closest to 0 in 4/5, f, u? 4/5 Let f = -22 + 18. Let c = 5 + f. Let o = -20 + 61/3. What is the nearest to o in c, -2/21, 0.1? 0.1 Let j(n) = -n**2 - 10*n - 21. Let g be j(-4). What is the nearest to g in 0, -1/4, 0.4? 0.4 Let u = -1659 - -1669. What is the closest to 0.1 in u, -0.1, -4, 2/9? 2/9 Let t = 2482/1005 + -14/201. Which is the closest to t? (a) -7 (b) -3 (c) -5 (d) 4 d Let w = -178 + 180. Suppose -3*i + 8 = 2. What is the closest to w in 5, i, 1/3? i Let f = -1.1 - -1.1. Let z = 328.1 + -328. Which is the nearest to z? (a) f (b) 2 (c) -3 a Let v be (-3)/(869/(-22) - -8). What is the closest to -0.1 in 0.2, v, -0.07, 1/2? -0.07 Suppose -4*j + y = 7, 7*y - 2*y = -25. What is the closest to j in 0.4, 1/3, 12? 1/3 Let f = 0 + -0.5. Let u be (-12)/28*(-12)/9*98/28. Which is the nearest to u? (a) f (b) 5 (c) -4 a Let r be 2/(-12) - ((-42)/9)/7. Which is the nearest to r? (a) 2/3 (b) -3 (c) 8 a Let r = -148 + 149. Which is the nearest to r? (a) 1/4 (b) -1 (c) 4 a Let w = -82 + 736/9. Let i = -27 + 28. Which is the closest to i? (a) -1/2 (b) w (c) 0 c Let c = 84 + -82. What is the nearest to 1 in -2/7, -17, c? c Suppose t = 25 + 131. Let p be (4 + -1)*(-8)/t. Let y = -0.2 + 0.4. Which is the closest to -1? (a) p (b) 3/5 (c) y a Let m = -230.9 + 231. Which is the closest to m? (a) -0.1 (b) 2/3 (c) 2 a Let g = -29.47 - -0.47. Which is the nearest to g? (a) 0.4 (b) -0.1 (c) -0.3 c Let x = -5/11 + 2/77. What is the nearest to 0.1 in x, 2/25, 2? 2/25 Let m = -2.11 + -0.89. What is the nearest to -6 in -5, m, -3/4? -5 Let t = -553/15 - -37. Let x = -5403 - -59427/11. Which is the nearest to 0.1? (a) t (b) -2/7 (c) x a Suppose c - 5*g + 125 - 115 = 0, 2 = -2*c + g. What is the closest to 2/5 in -2, 0.4, c, -3/5? 0.4 Let z = -1636 + 1636.4. What is the closest to 1 in -1.3, z, -1? z Let y = 3 + -4. Let h = -333/44 - -108/11. Let w = h + -19/12. What is the closest to y in -5, 4, w? w Let y = -13 - -7. Let h = y + 8. Suppose -3*o = 7*o + 10. What is the closest to o in -1, h, -3? -1 Let f = 1.51 - 1.51. Let o be ((-1)/(-6) - -1) + -1. Let g = -0.9 - -1. What is the closest to g in f, -1, o? o Let a = 3 + -13. Let q = a + 9.9. Let y be (-5 - -2)/(-1 + 2). What is the nearest to 1 in y, 2, q? 2 Let v be (-27)/15 - 621/(-270). Which is the closest to 2/3? (a) v (b) 3 (c) 2/29 a Let p = 0.394 + 0.006. What is the closest to -1 in -4, p, -37? p Let p = 114 + -109. Which is the nearest to -1? (a) 1 (b) 1/4 (c) p b Let d = -4 + -10. Let k = d + 12.9. Let z = -1.1 - k. Which is the closest to z? (a) -0.5 (b) -2 (c) -4 a Let d = 21655 + -21655.4. Let o = 1 - 1. Which is the nearest to o? (a) d (b) -1/6 (c) -0.03 c Let w = 0.161 + -0.106. Let n = 0.355 - w. Let l be ((-1)/(-4))/((-9)/4). Which is the closest to 0.1? (a) -2/3 (b) l (c) n c Let i = -3.39 + -0.61. Which is the nea
{ "pile_set_name": "DM Mathematics" }
st the prime factors of q. 2 Let n(z) = -z**3 + 6*z**2 - 4*z - 5. Let b be n(4). Suppose 3*k - 3 = -3*s, 4*s + s - k - b = 0. List the prime factors of s. 2 Suppose -v = 3*k + 3*v + 5, 5*k - 10 = -3*v. Let t = -2 + k. Suppose -t*a - a + 40 = 0. List the prime factors of a. 2, 5 Suppose -4*n = 2*q + 134, 0*q - n = -2*q - 129. Let w = -44 - q. What are the prime factors of w? 3, 7 Let t = 120 + -30. List the prime factors of t. 2, 3, 5 Suppose -4*k + 553 - 157 = 0. What are the prime factors of k? 3, 11 Let m(f) = 3*f**2 - 2*f - 47. Let h(y) = -2*y**2 + y + 24. Let w(i) = -5*h(i) - 3*m(i). What are the prime factors of w(0)? 3, 7 Suppose 2*z + 11 - 43 = 0. What are the prime factors of z? 2 Let x = -23 + 14. What are the prime factors of (-381)/x - 2/6? 2, 3, 7 Suppose -2*p + 145 - 15 = 0. List the prime factors of p. 5, 13 Let s = -12 - -3. Let a = s + 13. Suppose 0 = a*t + l - 2*l - 36, 3*l = -2*t + 18. List the prime factors of t. 3 What are the prime factors of 7/(42/(-16))*-6? 2 Let q(p) = -p**2 + 12*p - 11. Let o be q(11). Suppose o = -2*s + 6. What are the prime factors of s? 3 Let w be ((-182)/(-21))/((-4)/(-30)). Suppose -7 = -4*l + w. What are the prime factors of l? 2, 3 Let q = 75 - 53. List the prime factors of q. 2, 11 Let q = 47 - 20. List the prime factors of q. 3 Suppose 103 + 97 = 2*u. List the prime factors of u. 2, 5 Let a = -5 + 3. Let f(p) = -2*p**3 + p**2 + 2*p + 1. What are the prime factors of f(a)? 17 Suppose -5*y - 21 = -8*y. List the prime factors of y. 7 What are the prime factors of (-6 + 72)/(-1 - -3)? 3, 11 Suppose -5*o + 56 = -o. Suppose 0 = j - 0*j - o. What are the prime factors of j? 2, 7 Let p(f) = -f**3 + 5*f**2 + 8*f + 2. List the prime factors of p(4). 2, 5 Let t(r) = r**3 + 7*r**2 + 5*r. Let u be (-23)/4 - (-3)/(-12). Let s be t(u). What are the prime factors of ((-75)/s)/(-5)*2? 5 Let q = -8 - -14. Suppose t = o - 6, -q*o + o - t + 24 = 0. Suppose 36 = o*c + 3*h, 2*h + 0*h + 26 = 5*c. What are the prime factors of c? 2, 3 Let j(a) be the third derivative of 1/24*a**4 + 0*a + 1/3*a**3 - a**2 + 0. List the prime factors of j(6). 2 Suppose 6 = -2*s + 4*s. Suppose t - 96 + 41 = -3*r, -s*t + 97 = 5*r. Let d = r - 5. What are the prime factors of d? 2, 3 Let g(p) = -p + 4. Let j be g(3). Suppose -j = -5*w - 21. Let v(x) = -2*x + 3. List the prime factors of v(w). 11 Let g be (24/(-15))/(2/(-5)). Suppose 35 + g = n. Let l = n + -22. What are the prime factors of l? 17 Let c be 2/6*(-1 - -1). Suppose 2*p + 3*k - 18 = 0, 5*k - 11 = -0*p + 3*p. Suppose p*o = -c*o - u + 28, o = -u + 10. List the prime factors of o. 3 Let j = -27 + 48. What are the prime factors of j? 3, 7 Let i be 64/6 + (-7)/(-21). Suppose q - 13 = i. List the prime factors of q. 2, 3 Let z = 210 + 131. List the prime factors of z. 11, 31 Suppose m = 222 - 62. What are the prime factors of m? 2, 5 Suppose 3*r = 2*v - 508, r - 1478 = -5*v - 225. List the prime factors of v. 251 Let q(u) be the second derivative of -u**4/12 + 5*u**3/3 + 7*u**2 - 2*u. Let t be q(11). List the prime factors of (-55)/(-20) - t/4. 2 Let i = -1 - -3. Suppose i*d - 4*g + g - 23 = 0, -5*d + g = -77. Let h = -4 + d. List the prime factors of h. 2, 3 Let p = -32 - -50. Let q = 17 + p. Suppose 5*g - 10 = q. What are the prime factors of g? 3 Let d(o) = -o**3 + 7*o**2 - 4*o - 1. Suppose -5*t + 0 = -3*q + 10, 3*q = 3*t + 18. Let w = 16 - q. What are the prime factors of d(w)? 11 Let f be 1 + -2 + 2 + 7. List the prime factors of ((-20)/1)/(f + -10). 2, 5 Let i = 16 + -33. Let s be (3/3*i)/(-1). Suppose v + 22 = -5*x, -5*v + 2*x = -8 - s. List the prime factors of v. 3 Suppose 4*d - 136 = 5*i + 32, 25 = d + 3*i. What are the prime factors of d? 37 Let k = 18 + -36. Let q be 128/5 + (-4)/(-10). Let t = k + q. List the prime factors of t. 2 Let a = -6 + 3. Let r = 1 + a. List the prime factors of 1*4 + r + 0. 2 Let l(m) = m**3 + 8*m**2 - 2*m - 7. Let s be l(-8). What are the prime factors of (-6)/s*(-81)/6? 3 Let w(o) be the first derivative of -3*o**4/2 - o**3 - 3*o**2/2 - o - 3. Let c be w(-2). Let f = -29 + c. List the prime factors of f. 2, 3 Suppose -2*q = -5*o + 12, 4*o + q = -3*q + 4. Suppose 44 = o*x + p, 3*p - p = -x + 16. What are the prime factors of x? 2, 3 Let g = -7 - -20. Let c = g - 8. Let n(h) = h + 5. What are the prime factors of n(c)? 2, 5 Let l = 21 + -11. What are the prime factors of l? 2, 5 What are the prime factors of 136/10 - (-4)/10? 2, 7 Suppose -o + 43 = -4. What are the prime factors of o? 47 Suppose -3*w = -14 - 1. Suppose -16 - 2 = -3*f - w*b, 0 = -b. List the prime factors of f. 2, 3 List the prime factors of (-42)/(-4)*1160/60. 7, 29 Let b(r) = -r**3 - r**2 + 18. Let m be b(0). Let h = m - 10. List the prime factors of h. 2 Let r(x) = x**2 + x + 2. Let j be r(-2). Let q be (6/j)/(3/6). Suppose 16 = q*a + f, a - 8 = 5*f + 8. List the prime factors of a. 2, 3 Suppose r + 9 = 4*r. Let d be 7*(-6)/(r + -6). List the prime factors of (-4)/(12/(-9)) + d. 17 Let h(t) = -2*t + 6. Let c be h(6). Let m = 9 - c. What are the prime factors of m? 3, 5 Suppose -3*o - 25 = 2*o - 5*l, 0 = 4*l - 8. Let w be 2/10 - o/(-15). List the prime factors of -14*(1/(-2) - w). 7 Let h = 1 - 2. Let l be (-2 - -2) + h + 11. Let n = 22 - l. What are the prime factors of n? 2, 3 Let a be ((-32)/1)/(2/(-1)). Suppose 3*p = -4*v - 22, 5*v - 4*v = 4*p + 42. Let s = p + a. What are the prime factors of s? 2, 3 Let v = 140 + -51. List the prime factors of v. 89 Let h(s) = s + 27. Suppose 47 + 11 = -4*a + 2*y, 0 = -a + 3*y - 27. List the prime factors of h(a). 3, 5 Let t be -3 - (-22)/8 - 26/(-8). Suppose -108 = -2*b - 0*l + 2*l, 3*b + 3*l - 150 = 0. Suppose -p + b = t*p. List the prime factors of p. 13 Suppose 4*a = 6*a - 94. Let z = -26 + a. List the prime factors of z. 3, 7 Let t(g) = g**3 - 10*g**2 - 17*g - 10. What are the prime factors of t(12)? 2, 37 Let g(v) = -4*v + 1. Let d(z) = z + 3. Let o be d(-5). List the prime factors of g(o). 3 Let c(m) be the second derivative of -m**5/60 - 5*m**4/24 + m**3/6 - m. Let q(g) be the second derivative of c(g). What are the prime factors of q(-5)? 5 Suppose 303 = 5*c - 2*c. Let t = 145 - c. Suppose 52 = 2*a + 5*v, 3*a - 6*a + t = -v. What are the prime factors of a? 2 Let b = 10 + -6. Suppose -b*d + 66 = -38. What are the prime factors of d? 2, 13 Suppose 0 = -0*d + 2*d - 5*o + 38, 0 = 4*d - 3*o + 104. Let t = 66 + d. What are the prime factors of t? 37 Let b(q) = -q**2 - 9*q + 14. Let g be b(-10). Suppose s = g - 1. What are the prime factors of s? 3 List the prime factors of ((-24)/5)/((-4)/190). 2, 3, 19 Suppose 8 = 3*m + 26. Let a be 9/(-6)*24/(-9). Let c = a - m. List the prime factors of c. 2, 5 Suppose 2*m - t - 83 = 0, -5*m - 2*t - 32 = -244. What are the prime factors of m? 2, 3, 7 Suppose -b = u - 115 - 22, 2*b = -3*u + 410. Let s = u - 97. What are the prime factors of s? 3, 13 Let i(m) = -m - 6. Let y be i(-8). Suppose -y*p - 34 = -3*p. List the prime factors of p. 2, 17 Let w(t) = -t - 16. Suppose 2*j - 7*j + 55 = 0. Let m be w(j). List the prime factors of m/(-2) + 1/(-2). 13 Suppose 4*n + 104 = -4*g, -6 = -n - 5*g - 40. Let u be (1 - 14/8)*n. What are the prime factors of u/4 + (-2)/(-4)? 5 List the prime factors of (-1)/(2/152)*10/(-8). 5, 19 Suppose -5 = -4*q - 21. Let h be (3 - 1)/(q/8). List the prime factors of 116/14 - h/(-14). 2 Suppose 0 = 3*g - 3 - 21. Let d be (6/5)/(g/20). List the prime factors of d - (-1 + 6/3). 2 Let j(a) = a + 1 + 3*a - a. List the prime factors of j(2). 7 Let b(z) = -z**3 - 2*z**2 + 3*z + 9. Let p be b(-7). Suppose -53 + p = 4*h. What are the prime factors of h? 3, 5 Suppose 0 = 3*o - 2*w - 556, o - 392 = -o - 4*w. What are the prime factors of o? 2, 47 Let z = 57 + -16. List the prime factors of z. 41 Suppose l = -4*n + 4*l + 42, -3*n - 4*l = -44. List the prime factors of n. 2, 3 Suppose 45 = -4*y - y + 5*m, 4*m - 8 = -3*y. Let n be 22 + (0 - (2 + y)). List the prime factors of (1/(-3))/((-2)/n). 2 Let t(o) = -o**3 - 5*o**2 + 7*o + 8. Let i be t(-6). Suppose -i*c - 2*c = -92. Let y = c - 9. List the prime factors of y. 2, 7 List the prime factors of (-6)/18*(1 + -142). 47 Let g(j) = 4*j. Let y be g(6). Suppose q + q - y = 0. List the prime factors of q. 2, 3 Suppose -12 = -3*h, -h - 3
{ "pile_set_name": "DM Mathematics" }
72 What is -4244 (base 5) in base 11? -482 Convert -11110 (base 2) to base 16. -1e Convert -383b (base 14) to base 12. -5851 Convert -2900 (base 11) to base 6. -25211 Convert 69 (base 13) to base 12. 73 -110011101110 (base 2) to base 14 -12c6 What is 111120100 (base 3) in base 11? 7482 214005 (base 7) to base 16 9210 What is 22a (base 14) in base 5? 3210 What is 162a (base 14) in base 3? 12102121 -1235 (base 6) to base 3 -102112 Convert 2119 (base 10) to base 11. 1657 Convert -257 (base 9) to base 13. -136 167 (base 16) to base 5 2414 4a5 (base 13) to base 16 32b Convert 2cb1 (base 16) to base 5. 331231 -163 (base 11) to base 15 -ca Convert -1024411 (base 5) to base 11. -12152 Convert -1406 (base 12) to base 9. -3146 Convert 53c2 (base 13) to base 16. 2d82 What is b0f (base 16) in base 5? 42311 What is 5 (base 12) in base 15? 5 -3212 (base 4) to base 7 -446 What is e1e (base 16) in base 15? 110e Convert -2000111 (base 4) to base 3. -102021012 Convert -4665 (base 7) to base 10. -1713 What is 10112211 (base 3) in base 10? 2587 What is 14215 (base 9) in base 8? 22665 Convert 10010010001001 (base 2) to base 5. 244403 What is -8865 (base 12) in base 15? -46d8 What is 801 (base 12) in base 8? 2201 -1023341 (base 5) to base 4 -10033002 Convert -1061 (base 12) to base 10. -1801 What is -1022120 (base 4) in base 2? -1001010011000 Convert -529 (base 15) to base 4. -102030 What is -6a60 (base 13) in base 10? -14950 -3660 (base 10) to base 14 -1496 What is -1201 (base 5) in base 2? -10110000 Convert 210002102 (base 3) to base 11. 10607 76 (base 12) to base 5 330 Convert -13102 (base 4) to base 10. -466 What is 4231033 (base 5) in base 8? 212160 Convert -47336 (base 9) to base 8. -75607 Convert -2111202221 (base 3) to base 8. -140400 What is 397 (base 15) in base 7? 2245 Convert -100220 (base 3) to base 15. -12c 11823 (base 9) to base 8 17427 What is 680 (base 11) in base 8? 1456 Convert -1c263 (base 14) to base 4. -101202033 -264 (base 13) to base 7 -1140 Convert -c872 (base 14) to base 6. -424100 -102212110 (base 3) to base 16 -21cc Convert 12751 (base 8) to base 11. 423a Convert -24240 (base 6) to base 11. -273a 10010100110 (base 2) to base 12 832 What is 33131 (base 5) in base 11? 17a3 Convert 2517 (base 9) to base 14. 983 Convert -be (base 16) to base 14. -d8 Convert 6a0 (base 11) to base 8. 1504 What is 1001111221 (base 3) in base 5? 1131123 What is 1024 (base 12) in base 14? 8d6 What is 200003 (base 4) in base 13? c1a -11102211200 (base 3) to base 8 -252503 -14b67 (base 14) to base 8 -144667 What is 61645 (base 8) in base 13? b7c3 b475 (base 12) to base 11 13865 Convert -1404 (base 7) to base 3. -202010 1001111011 (base 2) to base 6 2535 9052 (base 13) to base 16 4d80 -1482 (base 9) to base 10 -1127 Convert -11001220 (base 3) to base 2. -101110010111 Convert -4171 (base 13) to base 9. -13364 Convert -5240 (base 6) to base 16. -498 -1055 (base 10) to base 15 -4a5 -2101222 (base 3) to base 10 -1754 4449 (base 10) to base 6 32333 -a844 (base 14) to base 15 -892d What is -624 (base 10) in base 3? -212010 What is 331c (base 15) in base 11? 8153 What is 8e7 (base 15) in base 8? 3741 Convert 2220 (base 5) to base 2. 100110110 130101 (base 4) to base 13 a92 What is -11010111110 (base 2) in base 15? -7a1 Convert 405 (base 11) to base 3. 200010 What is 425132 (base 6) in base 12? 181a8 Convert 11331 (base 5) to base 3. 1011011 Convert 5105 (base 11) to base 15. 2021 30117 (base 10) to base 4 13112211 ba33 (base 13) to base 4 12110223 What is 26154 (base 7) in base 9? 10470 What is 5b81 (base 15) in base 6? 230051 Convert 2313 (base 4) to base 6. 503 What is 6422 (base 13) in base 14? 50bc What is 54460 (base 7) in base 3? 200200021 -1310 (base 16) to base 10 -4880 925 (base 12) to base 13 7ac -33a (base 14) to base 13 -3a3 Convert 3331 (base 4) to base 2. 11111101 What is -312323 (base 5) in base 14? -3aa6 4a12 (base 15) to base 6 200555 Convert 1821 (base 9) to base 5. 21041 What is 142 (base 14) in base 4? 3332 Convert -3016 (base 7) to base 9. -1377 What is -11433 (base 8) in base 6? -34351 What is 9eed (base 16) in base 9? 61725 Convert 100101110 (base 2) to base 10. 302 Convert -302 (base 5) to base 4. -1031 10101000001010 (base 2) to base 6 121454 What is -79 (base 10) in base 14? -59 What is -1202202221 (base 3) in base 11? -24192 Convert 236 (base 13) to base 12. 27b Convert 151501 (base 6) to base 12. 8591 Convert -21a6 (base 11) to base 8. -5523 Convert 1116 (base 7) to base 16. 195 -183 (base 11) to base 9 -255 What is -14b2 (base 12) in base 7? -10052 Convert 3221213 (base 4) to base 15. 466b -11871 (base 9) to base 4 -1331002 What is 1101111100 (base 2) in base 14? 47a What is 11101101010111 (base 2) in base 15? 477b -10422 (base 6) to base 16 -5ae What is 123 (base 14) in base 11? 197 What is 7215 (base 9) in base 8? 12237 4711 (base 12) to base 6 100421 Convert -7013 (base 10) to base 4. -1231211 Convert 11020212 (base 3) to base 8. 6035 Convert -11101100101 (base 2) to base 4. -131211 -5706 (base 8) to base 3 -11010122 -123 (base 13) to base 6 -530 177b (base 13) to base 2 110110011010 1230411 (base 5) to base 11 16a18 -277c (base 15) to base 9 -12520 Convert 82c (base 13) to base 10. 1390 -18590 (base 13) to base 12 -2330b -2d6 (base 16) to base 4 -23112 Convert -20012 (base 6) to base 5. -40400 What is 12004 (base 5) in base 4? 31233 16373 (base 9) to base 16 2bec What is 100002 (base 4) in base 11? 853 105534 (base 8) to base 13 13314 Convert -72 (base 11) to base 14. -59 -2773 (base 9) to base 11 -1631 6753 (base 16) to base 3 1100021200 Convert 10a9 (base 16) to base 12. 2575 What is -726 (base 15) in base 13? -96c What is 1231 (base 5) in base 6? 515 What is 9c77 (base 13) in base 10? 21899 Convert -52100 (base 9) to base 7. -202062 -1221 (base 7) to base 6 -2040 What is -443 (base 13) in base 12? -50b Convert -20e (base 15) to base 10. -464 What is 13518 (base 10) in base 8? 32316 361 (base 13) to base 7 1465 -a0 (base 16) to base 6 -424 What is 210 (base 11) in base 4? 3331 -202101011 (base 3) to base 11 -10184 What is -102226 (base 8) in base 14? -c526 -444 (base 13) to base 5 -10412 Convert -342 (base 12) to base 15. -222 -44316 (base 8) to base 12 -a952 Convert -9a7 (base 11) to base 14. -622 225 (base 12) to base 5 2232 Convert -15077 (base 8) to base 10. -6719 What is 1101 (base 2) in base 5? 23 Convert -10021022120 (base 3) to base 15. -14123 2866 (base 11) to base 4 321312 What is 2220202 (base 3) in base 4? 201032 Convert 11112 (base 5) to base 13. 482 839 (base 13) to base 12 988 Convert -10010011110111100 (base 2) to base 9. -124760 What is -6926 (base 12) in base 16? -2dae Convert -1100100111 (base 2) to base 12. -573 Convert -16914 (base 10) to base 2. -100001000010010 -1ab70 (base 12) to base 7 -223461 What is 10100100001 (base 2) in base 9? 1718 What is 5ea (base 16) in base 5? 22024 10455 (base 10) to base 5 313310 -1084 (base 13) to base 15 -a3a What is 1630 (base 12) in base 4? 221010 8c67 (base 14) to base 7 131060 What is 3210 (base 5) in base 7? 1153 Convert -762 (base 10) to base 9. -1036 What is 12210 (base 4) in base 5? 3140 Convert -3579 (base 10) to base 13. -1824 What is -13377 (base 12) in base 2? -110011101001011 What is 182 (base 9) in base 11? 131 What is -1110000111 (base 2) in base 8? -1607 Convert 1a4 (base 12) to base 9. 327 -1022132 (base 5) to base 2 -100001100001111 Convert -3703 (base 10) to base 4. -321313 492a (base 14) to base 13 5a7c What is 430031 (base 5) in base 12? 83b3 -101121111 (base 3) to base 5 -221420 Convert 2250 (base 8) to base 6. 5304 Convert 258 (base 12) to base 15. 18b 1320311 (base 4) to base 7 31355 What is 7a15 (base 11) in base 7? 42511 What is 1236 (base 7) in base 11? 396 What is -1021022 (base 3) in base 7? -2462 -2304 (base 9) to base 5 -23310 -3705 (base 14) to base 10 -9609 -292 (base 11) to base 13 -205 What is -2002103 (base 5) in base 8? -75450 236 (base 11) to base 2 100011001 -2a33 (base 15) to base 7 -35244 18a72 (base 13) to base 14 1366c 552 (base 8) to base 9 442 What is -2333 (base 9) in base 13? -a32 Convert 2063 (base 9) to base 4. 113223 104413 (base 7) to base 15 56aa Convert 974 (base 12) to base 5. 21014 Convert 15b (base 16) to base 11. 296 What
{ "pile_set_name": "DM Mathematics" }
*3*w**2 + 3238*b**3 + 31*w**3 wrt w. -128*b**3*w + 93*w**2 Find the first derivative of -2*c*l**2*v - 4*c*l**2 + 2*c*v - 2*l**2*v - 7*v - 20 wrt c. -2*l**2*v - 4*l**2 + 2*v Differentiate 29*m**2*s**2 + 788*m**2 + m - 4*s**4 with respect to s. 58*m**2*s - 16*s**3 Find the third derivative of 882*a**3 - 79*a**2 + 4*a. 5292 What is the derivative of -537*r*t**2*v**3 + r*t**2 - 4*t**2*v**3 + 2*t*v**3 - 2*v**3 wrt r? -537*t**2*v**3 + t**2 Differentiate 7*c**2*q*s*v - 4*c**2*q*v - 2*c**2*s*v + 2*c**2*v + 1009*c**2 + 7*c*q*s wrt q. 7*c**2*s*v - 4*c**2*v + 7*c*s Find the third derivative of 1481*i**3 - 1142*i**2. 8886 Find the third derivative of -108*d**4 - 4*d**3 - d**2 - 9*d - 8. -2592*d - 24 What is the second derivative of -2084*v**2 + v + 809 wrt v? -4168 What is the third derivative of -136*p**3*q**4 + 1161*p**3*q**2 + 2*p**2*q**4 wrt q? -3264*p**3*q + 48*p**2*q Find the second derivative of -421*a**5*y + 2*a**4*y + 3*a**2 - 327*a*y + 5*a + 2*y wrt a. -8420*a**3*y + 24*a**2*y + 6 What is the first derivative of -5*a**3 + 5*a**2 - 321? -15*a**2 + 10*a Find the second derivative of -c**3*l**2 - 2*c**3*l - c**2*l + 34*c*l**3 + 9*c*l - l**2 wrt l. -2*c**3 + 204*c*l - 2 What is the second derivative of -2*m*r**3*u**2 - 6*m*r**2*u + 3*r**3*u - 2*r**2*u - 130*r*u**2 - 2*u wrt u? -4*m*r**3 - 260*r Find the second derivative of -2*n*o**2 + 8*n*o*w**2 - 53*n - 8*o**2*w**3 - 2*o**2*w wrt w. 16*n*o - 48*o**2*w What is the first derivative of -625*q**4 - q**3 - 4*q**2 + 17492 wrt q? -2500*q**3 - 3*q**2 - 8*q Find the second derivative of 3*f**2*h**2 - 3*f**2*h - 6*f**2 - 17*f*h - 19*h**2 wrt f. 6*h**2 - 6*h - 12 What is the second derivative of -2131*i**2 + 10*i + 122 wrt i? -4262 What is the third derivative of 208*z**6 - 4*z**2 - 117*z wrt z? 24960*z**3 Find the second derivative of 71*l**2 + 163*l. 142 Find the second derivative of 4428*a**3 - 2*a**2 - 818*a. 26568*a - 4 What is the third derivative of -5*b**4 - b**3*r + 1156*b**3 + 16*b**2*r - 387*b**2 wrt b? -120*b - 6*r + 6936 What is the second derivative of -12*s**4 + 28*s**3 + 239*s - 2 wrt s? -144*s**2 + 168*s What is the first derivative of 442*r**3 + 293 wrt r? 1326*r**2 What is the derivative of 11141*c**2*n + 3183*c**2*v + 2*n*v + 2*n wrt v? 3183*c**2 + 2*n Differentiate 5*q*y + 17*q + 44*y wrt q. 5*y + 17 Find the second derivative of -d**3*g**2 + 6*d**3*g + 55*d**2*g**3 + 74*d*g wrt g. -2*d**3 + 330*d**2*g Find the first derivative of 7*h**2 - 22*h - 1068. 14*h - 22 What is the first derivative of -6212*i + 4073 wrt i? -6212 Find the second derivative of 13*x**4 + 2*x**3 - 23*x**2 + 7507*x. 156*x**2 + 12*x - 46 What is the third derivative of c**4*q - c**4 + 149*c**3*q - 7*c**3 - 3*c**2*q - 22*c + 7*q wrt c? 24*c*q - 24*c + 894*q - 42 What is the second derivative of 41*r**5 + 2*r**2 - 2344*r wrt r? 820*r**3 + 4 Differentiate -226*b**3*d + 15*b**3 - 3*b**2 wrt d. -226*b**3 What is the third derivative of c**5*x - c**4*x + 139*c**4 + 61*c**2*x - 2*c**2 + x wrt c? 60*c**2*x - 24*c*x + 3336*c Find the third derivative of m**4*n**3 - 63*m**4*n**2 - m**4 - 15*m**2*n**2 + 2*m*n**2 + 3*n**3 wrt m. 24*m*n**3 - 1512*m*n**2 - 24*m Find the second derivative of -570*n**2*z**3 + 5*n*z**3 - 129*z**3 wrt n. -1140*z**3 Find the second derivative of -20295*a**2 - 4017*a wrt a. -40590 Find the third derivative of -4*t**4 + 31*t**3 + 2476*t**2 wrt t. -96*t + 186 Differentiate -2*i**3*v**2 + 4*i**3 + 3*i*v**3 - 2*i - 19*v**2 wrt v. -4*i**3*v + 9*i*v**2 - 38*v What is the derivative of 242*n**4 + 115? 968*n**3 Find the third derivative of 2*u**6 + 17*u**4 + 2*u**2 + 1049 wrt u. 240*u**3 + 408*u What is the third derivative of 1578*g**3 - 247*g**2? 9468 What is the second derivative of -5*k**5 - 40*k**4 + 11636*k? -100*k**3 - 480*k**2 Differentiate -31*b**3 - 962 with respect to b. -93*b**2 Differentiate -8*r*s**3 - 48*r + 2144*s**3 wrt r. -8*s**3 - 48 Find the first derivative of 2*z**3 + 36*z - 195. 6*z**2 + 36 What is the second derivative of -3846*s**2 + 546*s? -7692 What is the third derivative of -404*s**3 - 2027*s**2? -2424 Find the second derivative of -1514*d**5 - 3*d - 3995 wrt d. -30280*d**3 What is the derivative of 318*v**3 + 1867? 954*v**2 What is the third derivative of 7*p*q**4 - 7*p*q**3 + 3*p - 13*q**2 wrt q? 168*p*q - 42*p What is the second derivative of -b*d**4 - 3*b*d**2 - b - 10*d**4 - 36*d wrt d? -12*b*d**2 - 6*b - 120*d**2 What is the second derivative of -3217*c*p**2 - 16*c*p - 3*p**2 + 588*p wrt p? -6434*c - 6 What is the second derivative of -2360*g*u**4 - 7*g + 55*u wrt u? -28320*g*u**2 Find the third derivative of 8*n**6*w - 37*n**3 - n**2*w - 69*n*w wrt n. 960*n**3*w - 222 What is the third derivative of -3*p**3*u**3 - 246*p**3*u**2 + 2*p**3*u + 2151*p**2*u**2 + u**3 wrt p? -18*u**3 - 1476*u**2 + 12*u What is the second derivative of 34*j**4*p + j**3*p*r - 99*j**3*r + 2*j*r - 2*j - 316*p*r wrt j? 408*j**2*p + 6*j*p*r - 594*j*r Find the second derivative of 201*c**3 - c**2*t**3 - 89*c*t**3 - c*t**2 wrt c. 1206*c - 2*t**3 Differentiate -82*k**3*r - k**3 + 2*k**2 - 6*k*r + 57*k wrt r. -82*k**3 - 6*k What is the third derivative of -1929*h**4*k + 2*h**3*k**2 - 143*h**2 - h*k + 11*k**2 wrt h? -46296*h*k + 12*k**2 What is the derivative of 35*a**2*b*y**2 + 36*a**2*b*y - 14*a**2 + 14*a*y**2 + 2*y**2 wrt b? 35*a**2*y**2 + 36*a**2*y What is the second derivative of 330*g**2 - 44*g - 7? 660 What is the derivative of -90*c*z**2 + z**2 + 4 wrt c? -90*z**2 What is the second derivative of -c**4*h + 452*c**3*h*i - c**2*i + 3*c*h*i - c*i + 9*h - 2*i wrt c? -12*c**2*h + 2712*c*h*i - 2*i Differentiate -2*o*u - o + 6*u**4 - 16*u**3*v - 24*v with respect to u. -2*o + 24*u**3 - 48*u**2*v Differentiate -1135*z**2 - 818 wrt z. -2270*z Find the third derivative of -1469*i**2*y**3 + 16*i**2 - 5*i + y**2 wrt y. -8814*i**2 Find the second derivative of -4057*p**2 + 1957*p wrt p. -8114 What is the derivative of -t**3*y + 300*t**3 - 18*t**2*y**2 wrt y? -t**3 - 36*t**2*y What is the second derivative of 4866*i**3 - 60*i + 4? 29196*i Find the second derivative of -17*m**5 + 3*m**4 - 1112*m wrt m. -340*m**3 + 36*m**2 What is the third derivative of 826*x**3 - 2092*x**2? 4956 Find the third derivative of -32*f**3*o**3 - 2*f**3*o - 81*f*o**4 - 2*f*o**2 + 8*f*o - 27*f wrt o. -192*f**3 - 1944*f*o Find the third derivative of 2120*n**3 + 1295*n**2. 12720 Find the third derivative of 37*x**3*z**4 + 844*x**3*z**2 - 2*x*z**2 + 27*z**4 + 2*z**3 - 4 wrt z. 888*x**3*z + 648*z + 12 Find the third derivative of -5910*v**4 + 107*v**2 wrt v. -141840*v Find the third derivative of -156*o**3 + 63*o**2. -936 What is the derivative of -12208*v - 9335 wrt v? -12208 What is the third derivative of -4*d**2*k**5 + 86*d**2 - d*k + 8*k**3 - k**2 wrt k? -240*d**2*k**2 + 48 What is the second derivative of -7715*j*v**2 + 27*j*v + j - 3 wrt v? -15430*j What is the derivative of -541*i*y**3 - 42*i + 10 wrt y? -1623*i*y**2 Find the third derivative of 25*a**3*q*r**2*x + 6*a**3*q*x - 2*a**2*r**2*x - 2*a**2*x - a*q*r*x - 2*q*x + 2*r*x wrt a. 150*q*r**2*x + 36*q*x Find the third derivative of 280*i**3*n**3*q - 5*i**3*n**3 - 2*i**3*q - 4*i**2*n**3*q - 2*i**2*n**2 + 6*i**2*n*q + i*n**3*q - n**3 wrt i. 1680*n**3*q - 30*n**3 - 12*q What is the second derivative of -1925*h**3*j**2*q - 5*h**3*j - h**3*q + 3*h**2*j*q wrt j? -3850*h**3*q Differentiate -4*r**2*w + 12*r**2 + 265*r*w - 127*r wrt w. -4*r**2 + 265*r Differentiate 2*a*h**3*t - 6*a*t*v**3 - a*t - a*v**3 - h**3*v - 4*h**2*t*v**3 + h**2*t*v + 3*v**3 with respect to a. 2*h**3*t - 6*t*v**3 - t - v**3 What is the first derivative of -929*a**4 - 8583 wrt a? -3716*a**3 Differentiate 2635*g**4 - 25419. 10540*g**3 Find the third derivative of 1999*i**2*n**3 + i**2*n**2 - 25*i**2 - 18*i*n**2 wrt n. 11994*i**2 Find the first derivative of -34*m**3*z - 3*m**3 + 2*m + 333*z wrt m. -102*m**2*z - 9*m**2 + 2 Find the first derivative of 11*o**2*y + 2*o**2 - 14*o*y**2 + 7*y**2 - 14*y wrt o. 22*o*y + 4*o - 14*y**2 Differentiate 5*a**2*z + 30*a**2 - 2*z - 43 wrt a. 10*a*z + 60*a What is the first derivative of 43*a**3*v**3 - a**3*v + 157*a**3 + 4*a*v**2 wrt v? 129*a**3*v**2 - a**3 + 8*a*v Find the first derivative of c**2*o*z - 12*c**2*z + 228*c*o*z + 3*c - z wrt o. c**2*z + 228*c*z What is the second deri
{ "pile_set_name": "DM Mathematics" }
to -1 in w, 18, 1/11? w Let p = -0.08 - 0.02. Let o = 4 + -3.6. Let j = 0.2 - o. What is the nearest to p in j, -5, 1/6? j Let w = 9 - 14. Let l = -39/95 + 1/95. Which is the closest to 0.1? (a) w (b) -1 (c) l c Let f = 47/4 - 35/3. Which is the nearest to f? (a) -4 (b) -0.5 (c) 4 b Let v = -3 + -4. Let i = -4 - -6. Let z = i + v. Which is the nearest to 1? (a) -0.4 (b) -0.3 (c) z b Let a be (-2)/4 - 2/4. Let g be 28/(-12) - (-1)/3. What is the nearest to 0 in g, -0.4, a? -0.4 Let z = -0.9 - -1.2. What is the closest to 3/2 in 0, z, -2/5? z Let r = 13.3 + -8.3. Let i = 2/59 - 132/413. What is the nearest to i in r, -1, 3? -1 Suppose 0 = -5*u - 5. What is the nearest to u in 1, 3, 0.3? 0.3 Let m = 1.1 + -6.1. Let j = -92 - -92.4. What is the closest to 2/3 in 0.5, m, j? 0.5 Let z = -3025347/11 - -275320. Let d(u) = 59*u - 6. Let o be d(5). Let x = z - o. Which is the closest to -1/2? (a) -2/5 (b) x (c) 2 b Let n = -19.5 + 2.5. Let o = 19 + n. Which is the nearest to o? (a) 1/3 (b) 2/9 (c) -3/7 a Let m = 381/308 + 1/77. What is the closest to -0.1 in m, 4, 7? m Let k = -0.65 - -0.65. What is the nearest to 0 in k, -4, 3? k Let k = 5 + -5.4. Let n = -0.35 - k. Let u = -1.05 + n. Which is the nearest to u? (a) 4 (b) -1/4 (c) 5 b Suppose 3*v - 19 = -2*r + 4*r, 4*v - 2 = -2*r. Let n = -0.2 - -0.7. Let x = n - 0.3. What is the closest to 0 in v, x, -4? x Suppose -8 = -3*o - o. Let s = -3 + o. Let r = -2 - -1. What is the nearest to s in r, -2, 0.3? r Let p = -4 - -2. Suppose 3*s + 1 + 14 = 0. Which is the nearest to s? (a) 1 (b) 3 (c) p c Let s = 444/5 + -89. Which is the closest to 0.2? (a) 1/3 (b) s (c) -5 a Let g = -0.29 - 0.71. What is the closest to 0 in -3, g, 2/9? 2/9 Let i = -7 - -10. Let d be -36 - -33 - 8/(-3). Which is the nearest to -1/2? (a) i (b) d (c) -1/4 b Let h = -183/5 + 36. Which is the closest to -2? (a) 1/4 (b) h (c) -5/4 c Let r = -83 - -87. Which is the closest to -2/7? (a) -0.2 (b) 2/5 (c) r a Suppose -7*w + 4*w = 12. Which is the closest to -1? (a) -0.3 (b) 3 (c) w a Let p = 12.84 - 13. Let k = 3.84 - p. Which is the nearest to -2/7? (a) -5 (b) k (c) -0.1 c Let l(z) = -z**2 + 13*z - 12. Let p be l(12). Let u = -3 - -6. Which is the nearest to p? (a) -2/5 (b) u (c) 2/9 c Let z = 14 + -14. Let r = 0 + -0.2. Which is the nearest to r? (a) 1/6 (b) 4 (c) z c Let d = -34998/13 + 18726907/6955. Let m = d + -3/107. Which is the closest to m? (a) -4 (b) -0.3 (c) 1/8 c Let u(m) = -m**2 - 5*m + 8. Let k be u(-6). Let v be (k/(-3))/(1*-5). What is the nearest to -0.1 in 5, v, -1/12? -1/12 Let a = -2 + 0. Let r be (-3)/1 + (-3 - 116/(-20)). What is the nearest to -1 in r, -1, a? -1 Let y = -26.5 + 26. Let m = -0.5 + 0.7. Which is the closest to 0? (a) -0.3 (b) y (c) m c Let l = -1.7 + -0.3. Let o = 181/465 - -1/93. Which is the nearest to l? (a) -1 (b) o (c) -0.4 a Let g be ((-6)/(-4))/(93/(-62)). Let d = -3 - -3.1. Which is the nearest to g? (a) 2 (b) d (c) 3 b Let j = 0 + -3. Let r = 14.84 - 15. Let y = r - 0.04. What is the closest to 0.1 in 0.2, y, j? 0.2 Let w = -9.9 + 10. What is the closest to 2 in w, 2, 0.4? 2 Let h = -26 - -14. Which is the nearest to -2/3? (a) 4 (b) 3 (c) h b Let j = -300 - -6302/21. Let k = -11/42 + j. Let f be (-4)/(-10) - 2/5. What is the closest to f in -4, 0.4, k? k Let a = 8.96 + -7.9. Let t = 1 - a. Let x = -0.16 - t. What is the closest to x in 2, 3, -2? -2 Let y = 50 - 50.2. What is the closest to 1/7 in -1, -2, y? y Let o be (-32)/(-17) - (-4 + 6). What is the nearest to -1/3 in 0.11, o, 3? o Let x = 1.61 - 1.5. Let o = x + 3.89. What is the nearest to 0.2 in -0.4, -0.1, o? -0.1 Let l = 19 - 20. Which is the closest to l? (a) 3 (b) -0.4 (c) 2/13 b Let f = -0.85 - 0.15. Which is the closest to f? (a) 4 (b) 2/3 (c) -5 b Let c = 0.16 - 5.16. What is the closest to 0 in c, 0.4, -1/7? -1/7 Suppose 3*l - 4*l - 12 = 0. Let q be (5/(15/l))/2. Let y = -1.1 - -1. Which is the nearest to y? (a) -4 (b) q (c) 1 c Let w = 10 + -13. What is the nearest to 1/4 in 2/3, -2/7, w? 2/3 Let v = 82 - 85. Which is the nearest to -2/15? (a) -0.2 (b) 1/5 (c) v a Let p = 103.4 + -103. What is the closest to 0.3 in p, -5/4, 0? p Let q = 3.8 - -1.2. Let t = -81/2 + 40. Which is the nearest to 2/7? (a) 2 (b) q (c) t c Suppose 2*k - 5*f + 35 - 11 = 0, k = -5*f + 18. Let h be 2*-1*(-1)/(-9). What is the closest to 2 in h, k, 0? 0 Let h = 5 + -4. Let p(z) = 1 - 5*z - 1 - z**2 - 1 - z. Let k be p(-6). What is the closest to k in -2/15, -3/4, h? -3/4 Let k = 2.23 + -16.93. Let p = -14 - k. Let g = p - 0.9. Which is the closest to g? (a) -2 (b) 1 (c) 4/9 c Let r = -14.96 + -0.04. Let n = r - -14. Which is the closest to 0.1? (a) -4 (b) 0.2 (c) n b Let w = -6.5 - -1.5. What is the nearest to -1 in w, -16, -2/17? -2/17 Let i be (-26)/8 + 8/32. Which is the closest to -0.01? (a) 3/2 (b) i (c) -1 c Let x = 0 + 3. Let y be 3 + (0 - (4 - (3 + 0))). Let p = y - x. What is the nearest to p in -2/15, 0, -0.5? -0.5 Let g = -19 - -23. Which is the nearest to 0? (a) 1/4 (b) -3 (c) g a Let r = -7/18 + -1/9. Let w = -0.36 + -1.54. Let z = -2 - w. Which is the nearest to z? (a) 1 (b) r (c) 4/3 b Let y be (-2)/4 + (4 - 4). Which is the closest to y? (a) 1/9 (b) 2 (c) 5 a Let x = 83 - 80. Which is the nearest to x? (a) -1 (b) 5 (c) -0.3 b Let t be (-18)/(-5) + (-144)/90. Let k = 0.2 + -0.1. What is the closest to t in 0.5, k, 2? 2 Let j = 49 - 47.8. Which is the nearest to j? (a) -0.4 (b) 2 (c) -0.3 b Let g = 0.82 - 0.62. Let w = 31 + -125/4. Which is the closest to w? (a) 0 (b) 0.3 (c) g a Let d = -2.6 - -2.5. What is the nearest to d in -2/3, 1/6, 2? 1/6 Let p = 3.1 - 3. Let y be (-9)/330*8/30. Let r = -261/1925 + y. What is the closest to p in 3, 1/4, r? 1/4 Let p = -11 + 7. Let v = 4.4 + p. What is the closest to -1 in v, -1, -1/3? -1 Let n = 0.12 - -2.88. Which is the nearest to -0.1? (a) -5 (b) n (c) 0 c Suppose 5*v - 3*x + 2 = -8, -5*v + 5*x = 10. Let j = -0.004 + -3.696. Let o = j - -4. Which is the nearest to 1/2? (a) -1 (b) v (c) o c Let t = 0.6 + -1.1. What is the nearest to 1 in t, -35, -1? t Let g be (-3)/(-18) + 4/(-312). What is the closest to 1/4 in 8, g, 2/7? 2/7 Let s = 1.8 - 1.7. What is the closest to s in 1/4, -1, 2? 1/4 Let u = 1 - 4. Suppose 4*o - 4 - 3 = 5*k, 0 = -4*o - 5*k - 23. What is the closest to 1 in u, o, 0.4? 0.4 Let f = -0.15 - -0.45. What is the nearest to 7 in f, -2/19, -2? f Let w = 19 - 18.8. Let v be (-3)/4 - (-3 - -2). Which is the nearest to v? (a) -0.5 (b) -1/6 (c) w c Let x = -24 - -26. What is the nearest to 0 in -1, 6, x? -1 Let s be (-4)/6 + 47810/462. Let a = s - 103. What is the closest to 0.1 in -2, -4/3, a? a Suppose 0 = -10*m - 210 + 70. Which is the closest to -0.1? (a) m (b) -4 (c) 2 c Let w = -1 - 3. Let i = -46 + 45. Which is the nearest to 0.1? (a) -5 (b) i (c) w b Let n be 1/13*2 - (-54)/(-182). What is the nearest to 2/17 in 0.1, n, 0.5? 0.1 Let o = -0.1 - -3.1. Let v = -44 + 47.3. Let q = v - o. Which is the nearest to -0.2? (a) -2 (b) q (c) 3 b Let l = -0.1 - -0.2. Let c = -19.4 + 19. Let t = -0.06 - -3.06. What is the closest to l in 1/6, c, t? 1/6 Let q = -4146533/37261 - 12/5323. Let r = 111 + q. Which is the closest to r? (a) 0.1 (b) -2/9 (c) -0.2 b Let x = -11 + 10. Let v = -25 - -26. What is the closest to x in 0.03, v, -4? 0.03 Let s = -1.1 + -0.4. Let a = s + 2. What is the nearest to 0 in 3, a, -1? a Let j = 31 + -26. Which is the closest to 0? (a) 0.3 (b) -1 (c) j a Let n = 1 + -3. Let v be (-7)/(-35)*(3 - 1). Let l = -4.04 - -0.04. Which is the closest to v? (a) l (b) n (c) 1 c Let u = -11 - -9. Which is the closest to 0? (a) u (b) 2/11 (c) -5/6 b Let h = -9 - -8. Which is the closest to h? (a) 5 (b) -1/6 (c) -5 b Let v = -3.021 + 0.021. Which is the nearest to -1? (a) -0.5 (b) v (c) 3 a Let l = 3.1 + -0.1. Let i = 17 - 17. What is the closest to i in 0.5, l, 1? 0.5 Let t = -5 + 4.6. Let v = t + 0.4. Let y = 7 + -5. Which is the closest to v? (a) -0.4 (b) y (c) -3 a Let h(v) = -v**2 - 7*v. Let o be h(-7). Let s = 0.3 - 0.4. Let l = 2.1 + -0.1. Which is the closest to s? (a) l (b) 0.5 (c) o c Let v = -10 - -13. Let u(w) = w - 5. Let z be
{ "pile_set_name": "DM Mathematics" }
/9 (-1)/(-9)*12/8 1/6 Evaluate (36/(-56))/((96/(-28))/4). 3/4 What is the value of 3/6*4/7? 2/7 Calculate -5*(-45)/(-1650)*8/6. -2/11 Evaluate ((-2)/(-9)*-1)/((-1079)/747). 2/13 What is ((-1)/3)/(72/48)? -2/9 What is ((-12)/(-4))/(6/4)? 2 1*1/10*-2 -1/5 What is the value of -17*(-18)/204*16/(-3)? -8 Calculate 102/(-765)*1*3. -2/5 ((-39)/325)/((-9)/45) 3/5 Calculate (-5*30/50)/(30/(-4)). 2/5 What is the value of 10*2*1/5? 4 Calculate ((-290)/(-116))/(10/(-16)). -4 Calculate (-20)/56*28/35. -2/7 (2/(-8))/(1/1) -1/4 What is the value of 0/4*4/8? 0 Calculate 23/(-46)*4*(-3)/9. 2/3 Calculate 320/(-800)*35/2. -7 (12*3/27)/(1/(-3)) -4 What is -5*((-24)/(-18))/(20/6)? -2 Evaluate (-2)/11*(-7)/28*2. 1/11 What is the value of ((-640)/50)/(-16)*(-50)/4? -10 What is (-2)/((-12)/15)*(-6)/(-3)? 5 What is the value of -14*(-2)/12*(-6)/(-12)? 7/6 What is 48/(-168)*((-2)/(-4))/(-1)? 1/7 What is 12/(-10)*15/(-6)? 3 What is the value of 5*(-5)/(-50)*(-5)/10? -1/4 What is the value of ((-21)/9)/7*(-396)/12? 11 6/(-36)*10*1*3 -5 Evaluate (-24)/(-9)*2*6/96. 1/3 What is the value of ((-6)/(-9))/(5/(45/(-12)))? -1/2 Evaluate (-4)/28*4*7. -4 (-6)/(-3)*(-4)/(56/(-3)) 3/7 (3/18)/((-14)/252) -3 What is (((-80)/35)/8)/(-1*2)? 1/7 What is the value of 8/(-2)*3/(-4)*1? 3 Evaluate (-2)/(2/(1/(2/(-4)))). 2 What is the value of ((-6)/16)/((-135)/360)? 1 What is 6/((-24)/(-280)*14)? 5 What is (-117)/(-156)*(-40)/(-6)? 5 Calculate 5/5*(-10)/2. -5 What is ((-60)/8)/(-5)*2? 3 Evaluate ((-2)/2)/((42/(-35))/6). 5 What is ((-11)/((-220)/24))/((-2)/5)? -3 1*(-19)/(266/(-4)) 2/7 What is ((-42)/(-28))/(1/2)? 3 Calculate ((16/(-14))/4)/((-72)/336). 4/3 What is ((-16)/(-8))/((-2)/(-6)*-2)? -3 What is ((-8)/(-36))/((-2)/6)? -2/3 What is the value of 4/(-2)*(-19)/((-798)/(-15))? 5/7 Evaluate ((28/7)/(-40))/(2/8). -2/5 What is the value of (-12)/9*-54*(-14)/(-112)? 9 What is ((-12)/112)/(54/72)? -1/7 What is (15/(-12))/((-2)/(-8))? -5 What is the value of (3/180*2)/(29/58)? 1/15 Calculate 185/74*1/(1/2). 5 Evaluate ((-6)/2)/(-3)*8/(-16). -1/2 Calculate (((-40)/(-28))/(-5))/(66/(-1617)). 7 What is (15/(-5))/((-3)/(-2))*1? -2 (3*(-1)/(-10))/((-278)/556) -3/5 What is ((-82)/205)/(-2*2/(-100))? -10 What is the value of -2*(-24)/18*6/4? 4 Calculate (((0/(-3))/(-4))/2)/3. 0 Evaluate 10/8*(-68)/(-17). 5 ((-18)/(-21))/(1*(-4)/(-14)) 3 Calculate 2/((-10)/(-3))*(-20)/(-4). 3 What is (3/(-2))/(24/80)? -5 (1/3*-2)/(348/522) -1 What is the value of (44/88)/((-6)/(-1))? 1/12 Evaluate (-4)/(-3)*-1*(-108)/(-24). -6 22/(220/75)*(-6)/(-9) 5 ((6/(-2))/(-6))/((-3)/6) -1 54/4*42/63 9 What is the value of 6/44*(-25)/2100*-154? 1/4 940/705*1/((-52)/(-6)) 2/13 Calculate (2*(-1)/(-5))/(16/24). 3/5 Calculate ((-4)/((-32)/10))/(34/(-136)). -5 Evaluate ((-1)/((-4)/6))/(87/232). 4 (-3)/(9/(-8))*(-6)/4 -4 Calculate (-8)/(-42)*3/6. 2/21 What is -18*2/16*(-90)/81? 5/2 Calculate (2/(-4)*-2)/((-40)/200). -5 Calculate 2*(-3)/(15/5)*-3. 6 What is the value of (-376)/(-94)*2/22? 4/11 Calculate ((-5)/12)/((-1030)/(-412)). -1/6 Calculate (-342)/(-2166)*4/(-6). -2/19 What is ((-10)/225)/(4/20)? -2/9 Calculate (33/297)/(3/(-2)). -2/27 Calculate (4*2/24)/((-3)/45). -5 What is the value of ((-19)/(-19))/(14/4)? 2/7 Evaluate (-55)/132*3/1. -5/4 Calculate (14/(-98))/(2/4). -2/7 Evaluate (10/3)/(2/(-3)). -5 (-4)/16*(16/(-6))/2 1/3 (((-68)/765)/2)/((-6)/10) 2/27 (-5)/(-1)*(48/(-8))/6 -5 What is the value of 1*((-45)/35)/9? -1/7 What is the value of (6/5)/((-32)/(-160))? 6 What is (28/35)/(88/(-20))? -2/11 What is (12/18)/((-4)/30)? -5 Evaluate (34/323)/(2/4*-2). -2/19 What is the value of (-1)/(1/((-7)/(35/5)))? 1 ((-2)/2)/(((-5568)/72)/(-29)) -3/8 Calculate -2*(-3)/(-12)*0. 0 Calculate (-1)/(-1)*(-5)/(315/(-18)). 2/7 What is ((-18)/7)/3*(-7)/2? 3 (-3)/5*(-160)/(-48) -2 What is the value of (((-49)/14)/(-7))/((-15)/(-10))? 1/3 What is (-52)/130*(-5)/(-3)? -2/3 Calculate (52/(-208))/((-10)/4). 1/10 Evaluate ((-12)/10)/((-16)/(-40)). -3 What is ((-2448)/(-952))/((64/14)/4)? 9/4 Evaluate (27/(-54))/((-2)/3*-3). -1/4 What is the value of 10/(-16)*222/(-185)? 3/4 Calculate ((-3)/(-8)*12/18)/(-2). -1/8 Calculate (-468)/(-104)*(-4)/(-6)*1. 3 Calculate (-2)/(-1)*7/(-105). -2/15 (1/3)/(6/(-18)) -1 What is the value of ((-128)/(-6))/(-16)*-3? 4 (-6*(-3)/9)/(-15)*-1 2/15 What is the value of (-2)/(-4)*26/(-52)? -1/4 Calculate (-7)/(84/16)*-3*1. 4 What is the value of ((-10)/(-5))/(2*1)*-4? -4 (-154)/11*(-9)/42 3 Calculate (4/(-14))/(-1)*-1. -2/7 1*0*(-2)/(-16) 0 What is the value of (1*-1)/1*106/(-424)? 1/4 Evaluate (40/30)/(5/30). 8 (4/(-25))/(34/85) -2/5 Evaluate 0/(((-15)/3)/5). 0 What is 1*11/((-22)/4)? -2 (-3)/(-50)*(-140)/(-105) 2/25 Calculate 0*4/16*2. 0 What is the value of ((-60)/(-900))/(2/18)? 3/5 What is the value of (12/14)/2*6/9? 2/7 What is the value of (-8)/(-720)*5*3? 1/6 What is the value of (21/(-9))/((-133)/38)? 2/3 Evaluate 5/(-15)*(-12)/(-28). -1/7 What is the value of (-39)/(-26)*-4*(-1)/(-15)? -2/5 (-2)/((20/4)/10)*1 -4 What is 18*-5*4/45? -8 Evaluate 5/(-15)*(45/(-12))/(-5). -1/4 What is ((-2)/10)/(3/(-12))? 4/5 What is the value of 6/288*8*6? 1 ((-3)/(-2))/((-7)/56*-22) 6/11 Evaluate 6*6/108*3. 1 Evaluate ((-1)/((-26)/6))/(24/16). 2/13 What is (4/80*10)/(14/4)? 1/7 Evaluate 9*9/270*(-2)/1. -3/5 Calculate (-1*4/(-28))/(3/21). 1 Calculate ((-2)/(-2))/(5*(-23)/460). -4 What is the value of ((-11)/(-33))/((-2)/(-18)*-1)? -3 70/28*(-27)/180 -3/8 Evaluate -8*(-3)/(-15)*(-5)/2. 4 (((-9)/4)/3)/(30/(-160)) 4 Evaluate 5*(-4)/(-30)*486/(-36). -9 What is (-1)/(-2)*-3*(-2)/(-9)? -1/3 2/(-1)*(-1)/((-7)/(-28)) 8 ((-4)/(-8))/1*(-10)/(-1) 5 What is ((-4)/6)/((52/(-6))/13)? 1 Calculate (1*(-3)/12*-1)/1. 1/4 Evaluate ((-2)/(-6))/((6/18)/(-1)). -1 Calculate (-5*(-3)/30)/2. 1/4 What is the value of 1*0*11/(-132)? 0 (24/5)/12*-2 -4/5 Evaluate (-12)/(-51)*(12/6)/(-4). -2/17 What is 2/1*(-16)/32? -1 (((-18)/(-12))/((-3)/(-28)))/(-2) -7 What is (14/105)/(12/10)? 1/9 What is the value of ((-2)/(-4))/(4*7/168)? 3 What is the value of ((-17)/(204/27))/(6/16)? -6 Evaluate ((-17)/51)/((-3)/(-9)). -1 (14/28)/(5/(-30)) -3 Evaluate 8*3/(-9)*1/(-12). 2/9 (72/(-30))/(-3)*(-15)/(-198) 2/33 What is ((-10)/3*-1)/((-44)/(-66))? 5 ((-2)/6*(-90)/(-30))/(-1) 1 Evaluate (-1)/((-6)/(18/(-1))). -3 What is the value of ((-8)/6)/(-2)*18/(-48)? -1/4 -4*9/(-12)*(-8)/(-8) 3 What is the value of (-13)/(-26)*2*-1? -1 What is the value of ((-8)/(-3))/4*(-60)/(-8)? 5 What is the value of 1/((4/(-24))/1)? -6 Calculate (-72)/(-20)*15/(-9). -6 What is the value of 3/(-12)*144/108? -1/3 (12/(-6))/((-6)/(-3)) -1 What is the value of ((-1375)/220)/((-10)/8)? 5 Evaluate 30*(2/(-18))/(68/204). -10 Evaluate ((8/1)/16)/(3/(-2)). -1/3 Calculate (54/6)/(2/(12/9)). 6 What is 27/(-6)*1*(-9)/(-54)? -3/4 ((-180)/(-15))/24*2/(-5) -1/5 Evaluate (-2)/(-4)*(-84)/((-30)/(-5)). -7 Evaluate 2/((16/(-18))/(14/21)). -3/2 (210/14)/(-15)*1/13 -1/13 Calculate 1/(-1)*118/767. -2/13 ((-6)/(-5))/((-80)/50) -3/4 What is the value of (-9)/(-3*(-6)/(-18))? 9 Evaluate 2/(3*5/(-60)). -8 Calculate -2*162/252*(-1)/3. 3/7 Evaluate ((-6)/4)/((3/2)/(-1)). 1 ((-2)/(-3))/((-1)/(-18)*6) 2 Calculate ((-770)/77)/((-2)/(-1)). -5 Evaluate (-131)/131*((-12)/(-21))/2. -2/7 Calculate (3/(-2))/(15/(-40)*38). 2/19 What is the value of (6/(-8))/(-3*5/25)? 5/4 (-96)/(-72)*3/(3/(-3)) -4 Evaluate 10/(110/(-3))*2/3. -2/11 Calculate 2/(-1)*5/(-2). 5 What is ((-20)/(-35))/((-6)/(-7))? 2/3 Evaluate (10/(-42))/((-125)/75). 1/7 What is -5*1/4*-4? 5 Evaluate 1/(-2)*((-24)/(-22))/(-3). 2/11 What is 196/294*3/22? 1/11 Calculate (7/(-21))/(-22*3/36). 2/11 What is ((-4)/6)/(2/(18/15))? -2/5 Calculate (((-30)/(-6))/15)/((-2)/(-3)). 1/2 What is the value of ((-42)/56)/(-2*(-27)/(-48))? 2/3 ((-6)/84)/(((-6)/(-2))/6) -1/7 What is the value of 140/210*(63/(-12))/(-7)? 1/2 What is the value of 7*(-4)/(-56)*6/(-3)? -1 Calculate ((-9)/1620*-16)/(4/6). 2/15 What is (4/(-12)*15)/(-1)? 5 What is the value of 15/(-30)*10*1? -5 What is the value of ((-15)/(-9))/(-1*(-2)/(-6))? -5 What is 2/4*8/(-6)? -2/3 Evaluate ((5/20)/((-2)/(-32)))/(-2). -2 What is ((-6)/4)/(84/70)? -5/4 What is (243/972)/(3/((-9)/2))? -3/8 What is 2/2*11/55*1? 1/5 -4*(120/(-32))/15 1 What is (2/1*(-3)/(-12))/(-2)? -1/4 (6/(-22))/((-23)/(2116/(-69))) -4/11 What is ((-12)/24)/((2/2
{ "pile_set_name": "DM Mathematics" }
to base 6 -15203004 What is -10321022 (base 5) in base 9? -144833 What is 212101022010 (base 3) in base 2? 1110000010110111010 What is 200221201210 (base 3) in base 2? 1011011000100111101 Convert -1055356 (base 7) to base 4. -200013211 Convert 984cc (base 13) to base 5. 32303334 -212433110 (base 5) to base 13 -259157 21003133021 (base 4) to base 2 1001000011011111001001 305c9 (base 14) to base 7 663242 Convert -787160 (base 11) to base 7. -13441642 What is -3bcb0 (base 15) in base 9? -322163 What is -282741 (base 13) in base 2? -11101110011101000000 1536023 (base 7) to base 2 110011100000010010 What is 3e022 (base 16) in base 15? 503c6 Convert 245205 (base 10) to base 15. 4c9c0 -201012022101 (base 3) to base 6 -12033144 -640790 (base 12) to base 8 -6010134 2306426 (base 7) to base 4 1012103321 Convert 1011002210220020 (base 3) to base 12. 5651b80 4122204 (base 6) to base 15 3d7ba Convert -30eccb (base 15) to base 6. -121523002 3157a7 (base 14) to base 11 a395a0 Convert 105de (base 15) to base 14. 14d15 1101110110101001111010 (base 2) to base 3 20211111210211 Convert 614284 (base 9) to base 15. 72cc4 ba792a (base 15) to base 16 879349 What is 100002121110 (base 3) in base 4? 223231221 -104882b (base 13) to base 2 -10010111010111100010010 -39341 (base 16) to base 7 -1664051 Convert 43280 (base 12) to base 9. 144366 What is -102950 (base 10) in base 8? -311046 Convert 644a66 (base 11) to base 15. 155951 167466 (base 10) to base 2 101000111000101010 What is 222131331 (base 4) in base 10? 173949 9ef0 (base 16) to base 3 2001210222 -6304282 (base 9) to base 2 -1100110110011111110001 2321002014 (base 5) to base 16 501cd3 -12305310 (base 7) to base 14 -20cd07 What is 730267 (base 9) in base 11? 276563 Convert -10322003114 (base 5) to base 14. -1698641 What is -322422422 (base 6) in base 10? -5726318 249139 (base 10) to base 11 160200 6a52900 (base 11) to base 13 2723288 41ba5 (base 13) to base 12 58657 What is -13321103 (base 6) in base 11? -285167 -134764 (base 10) to base 5 -13303024 What is 76845 (base 14) in base 11? 1866a4 1222211120 (base 3) to base 10 39246 112103000 (base 4) to base 7 530156 Convert -73513 (base 12) to base 8. -447037 Convert -1210112000110 (base 3) to base 4. -3221021322 What is 442ca (base 14) in base 6? 3312510 Convert 1677180 (base 13) to base 15. 9891b6 2121311322 (base 4) to base 11 3a0483 What is -59a9b3 (base 12) in base 4? -11201320113 9aa90 (base 14) to base 4 1123213212 What is 111200b (base 12) in base 10? 3259019 What is -4af58 (base 16) in base 12? -129820 -212320043 (base 5) to base 8 -3340231 Convert ed837 (base 15) to base 3. 1102022221121 a5310e (base 16) to base 9 22330426 575121 (base 10) to base 12 2389a9 What is -21313021330 (base 4) in base 3? -11212100020121 -98d3 (base 16) to base 8 -114323 -7046 (base 10) to base 6 -52342 Convert 50332151 (base 8) to base 9. 21842008 Convert -2211212111 (base 3) to base 9. -84774 Convert 1977005 (base 12) to base 9. 11113635 What is -15343233 (base 6) in base 12? -221b19 What is 15982a6 (base 11) in base 3? 12010011120121 What is 10022012220222 (base 3) in base 12? 708322 Convert 116948 (base 13) to base 2. 1100101001110011001 What is -3024002210 (base 5) in base 8? -27137736 Convert -930ad (base 14) to base 13. -c5259 Convert -4255334 (base 6) to base 5. -23203431 -301323011032 (base 4) to base 9 -26556051 Convert -509a81 (base 13) to base 12. -7669a9 -101011101000000001110 (base 2) to base 9 -2617833 What is 50bd48 (base 16) in base 7? 62655431 5ab94 (base 12) to base 14 329b2 1a375 (base 14) to base 16 103f3 901a2a (base 14) to base 12 1757ab2 What is -4481242 (base 11) in base 14? -10846cb 144792 (base 10) to base 4 203112120 Convert 4324403 (base 8) to base 12. 479943 Convert -27115 (base 9) to base 3. -221010112 What is 576531 (base 8) in base 4? 233311121 What is 183047 (base 10) in base 8? 545407 What is -425120 (base 7) in base 3? -10202020122 What is -1100001111110110111110 (base 2) in base 9? -6033208 What is 5320120 (base 7) in base 2? 10011101000111001011 What is -88a780 (base 13) in base 2? -1100010010101001001001 6a775a (base 15) to base 9 10514114 56007b (base 12) to base 8 5161137 What is -96364 (base 13) in base 3? -111202111101 Convert -312231 (base 10) to base 8. -1141647 -20424025 (base 6) to base 10 -594449 What is -67164 (base 14) in base 11? -160902 What is 1010111111100110101 (base 2) in base 3? 200022011102 What is -7a67a (base 13) in base 3? -102022220201 Convert -9413 (base 14) to base 8. -61631 What is -12002302 (base 4) in base 10? -24754 What is -42a9795 (base 12) in base 15? -11a2ba8 353f40 (base 16) to base 15 48de50 212010102 (base 4) to base 15 312ec -45441253 (base 8) to base 16 -9642ab What is 142301113 (base 5) in base 8? 2654744 What is -10002110001222 (base 3) in base 13? -4567b5 Convert -3322616 (base 8) to base 12. -371692 Convert 541664 (base 8) to base 7. 1353125 What is -2212100120211 (base 3) in base 10? -1522579 9974245 (base 10) to base 12 3410171 Convert -754337 (base 8) to base 6. -5223131 10100000110001101010 (base 2) to base 11 40a851 340552 (base 6) to base 9 43355 What is 1651515 (base 7) in base 2? 111000011010111000 -31041510 (base 6) to base 5 -212021200 1588459 (base 10) to base 15 2159c4 10101001010011100 (base 2) to base 9 141815 What is -2034402 (base 5) in base 11? -23381 What is -437883 (base 9) in base 15? -52820 -14514155 (base 6) to base 8 -1737427 What is 1a77b3 (base 15) in base 14? 25869b -1201000022110 (base 3) to base 12 -378126 -670213 (base 9) to base 7 -3255222 Convert -2123544 (base 7) to base 2. -111111000010100101 93cc9 (base 13) to base 8 1007151 132c71 (base 13) to base 7 3640166 -23b497 (base 13) to base 8 -3202364 -44320124 (base 5) to base 12 -167228 -43277 (base 13) to base 6 -2333235 What is 1200122012 (base 3) in base 9? 50565 Convert -4333202231 (base 5) to base 14. -1335115 What is 929515 (base 15) in base 10? 6967145 What is 32445 (base 6) in base 7? 16046 Convert -176326 (base 8) to base 16. -fcd6 What is -a7dfd (base 16) in base 7? -5562463 462355 (base 7) to base 16 1424b 32020213 (base 7) to base 4 22111310311 Convert -3bc206 (base 14) to base 16. -1f937e What is 3a39b3 (base 13) in base 5? 330021442 Convert a62058 (base 13) to base 14. 73328b 61dd (base 16) to base 11 17906 Convert -9da5 (base 15) to base 11. -23154 -310ba (base 13) to base 9 -143674 What is -1021532 (base 9) in base 2? -10000101001110111110 10305301 (base 6) to base 7 2405422 What is 2223431320 (base 5) in base 8? 22554372 -23122123012 (base 4) to base 15 -3e16e4 10004360 (base 10) to base 3 200211021101212 1032451 (base 6) to base 2 1100011111001111 What is -460640 (base 8) in base 11? -a7287 Convert -193aa0 (base 11) to base 15. -5d508 -10004634 (base 7) to base 3 -1112221000020 What is 121720 (base 11) in base 16? 2f015 -154c97 (base 13) to base 8 -2001356 Convert -6601145 (base 9) to base 12. -122a97b Convert 2272012 (base 8) to base 12. 25a636 What is -20324c (base 13) in base 15? -ec16e -7444714 (base 8) to base 13 -546652 -210467 (base 8) to base 13 -25ab3 Convert 590c5 (base 13) to base 7. 1245313 What is 111022212211 (base 3) in base 10? 262354 What is 254086 (base 11) in base 2? 1100001110101010101 What is -34451 (base 16) in base 14? -58049 What is -ad63aa (base 14) in base 6? -330202550 Convert -4161223 (base 8) to base 11. -696431 -9d1192 (base 16) to base 11 -58a0854 -101000100111110 (base 2) to base 10 -20798 2874432 (base 9) to base 10 1584470 What is 37366b (base 13) in base 4? 11002220130 What is -270c19 (base 15) in base 16? -1c9f89 200010020012021 (base 3) to base 7 144564232 30559a (base 11) to base 4 1313300122 -112011110102 (base 3) to base 9 -464412 -20220202201120 (base 3) to base 2 -1110000001011111110010 Convert 22221201022 (base 3) to base 15. 37325 Convert 691209 (base 11) to base 7. 12226666 Convert 23c530 (base 13) to base 10. 855517 Convert 82b69 (base 12) to base 8. 516001 Convert 465032 (base 7) to base 12. 402b8 What is 3723816 (base 9) in base 8? 7560326 -36265003 (base 7) to base 8 -14235225 -471c5 (base 13) to base 16 -1fba1 What is -356128 (base 16) in base 4? -31112010220 -1135185 (base 14) to base 5 -4044243031 Convert -1605119 (base 11) to base 5. -1200312123 -b
{ "pile_set_name": "DM Mathematics" }
2/(4 - 2). Let h be -15*((-35)/(-7) + (-74)/10). Let f = h + l. Which is bigger: f or 3? 3 Suppose -8*b + 29024 = 8*b. Let q = -74380/41 + b. Which is smaller: q or -1? -1 Let j = -8994 + 9378. Is j <= 384? True Let b(p) = -p**2 - 5*p - 6. Let k be b(-9). Let u = -40 - k. Suppose 0 = -u*c + 3*m - 25, -5*m + 23 = -4*c + 2*c. Which is bigger: c or -12? -12 Let z = 217 + -217. Let j be 0 - (z + 1/1). Let m be (-5)/(10/(-4)) + -6. Is j < m? False Let q(c) = -47*c - 188. Let s be q(-4). Suppose -2 = -2*t, 5*b - 6*b - 4*t - 14 = s. Suppose 5*k + 2*p = -31 - 48, 23 = -k - 4*p. Which is smaller: k or b? b Let m(f) = -2*f**2 + 8*f - 26. Let y be m(3). Let d be (-6660)/24*((-4)/(-2))/y. Which is greater: d or 27? d Let u be 225/500 - (-2)/40. Is u > 303? False Let n be ((-4)/30)/((-12)/(-80)). Suppose -8*u = -51 + 11. Let f be (5 - u)/(-5 - (-2)/2). Is f at most as big as n? False Let s be 13566/(-33) + (-50)/(-550). Which is smaller: s or -3700/9? -3700/9 Let c = -6518 - -6837. Is c not equal to 314? True Let y = -57.4 - -60.23. Let i = y - 15.83. Which is bigger: -0.05 or i? -0.05 Let v be 20 + -13 + (-10664)/1016. Which is bigger: v or -4? v Let p = -98971 - -4454861/45. Let o = p + -232/9. Let n(q) = -q**2 - 6*q - 4. Let u be n(-5). Is o smaller than u? True Let c = -36863 - -36862. Does c = 11052? False Let w(k) = -10*k + 218. Let s be w(21). Let v be s/((-336)/(-35)) - 1/(-6). Let l = 7501/30 + -250. Which is greater: l or v? v Let f = 23.24 - 24.24. Is 1338 greater than f? True Let t = 59 + -57. Suppose -t*r + 5 - 1 = 0. Suppose -3*f = -18 + 3. Is r at most as big as f? True Let n(t) = 21*t - 12. Let d be n(4). Is 74 less than d? False Let l(c) = -53*c - 140. Let u be l(-8). Is u bigger than 284? False Let n be (3/(-174))/(4/(-320))*(-740)/(-74). Is 14 at most n? False Let m(z) = z**3 - 4*z**2 - 12*z + 47. Let l be m(6). Suppose 91 = 2*p - 3*s, 11*p + 3*s + l = 12*p. Which is greater: p or 41? p Let t be 2/10 + (-17)/10. Suppose 0 = -4*l + 3*d + 21, 4*l - l + 5*d - 23 = 0. Suppose l*h = 5*h - 2. Which is greater: h or t? t Suppose 18*k = 20*k + 8. Let q be 442*(-4)/(k - 0). Let b be (-6)/(-4)*q/39. Which is greater: b or 18? 18 Let c = 348 - 5573/16. Let y(j) be the second derivative of -j**5/20 + 5*j**4/6 - 2*j**3 + 14*j**2 + j + 157. Let w be y(9). Does c = w? False Suppose -b + 4*f - 36 + 31 = 0, -b + 11 = 4*f. Is 42/11 != b? True Let j = 1327.4 - 843.4. Do 0.4 and j have different values? True Suppose -19*a + 2584 = -0*a. Suppose 0 = 18*s + 118 - a. Is s smaller than 10/23? False Let d be ((-21)/(-28) + -1)/(2/8). Let v be (5 + (-14)/2)/(0 - -2). Let a be -2 - (-102)/72 - (-2 - v). Which is smaller: a or d? d Let v = 8 + -2. Let i(p) = -2*p. Let j(n) = n**3 - 8*n**2 + 3*n - 6. Let g(x) = 5*i(x) - j(x). Let c be g(6). Which is smaller: v or c? c Let f = -79 - -78. Let k be (-24)/(-18)*(f + (-10)/(-4)). Suppose -4*z + k*b - 148 = 6*b, 135 = -3*z + 3*b. Is -41 smaller than z? False Let d be 17/(-4 - 4/(-10)). Let s = 211 - 431/2. Let h = s - d. Which is bigger: h or -1? h Let o = 6111 - 6126. Which is greater: o or -372/25? -372/25 Let x = 25 - 13. Let m be 4/34 - -11*x/34. Suppose 5*c + 5 = -3*q, -c + 1 - 2 = m*q. Which is bigger: 1/17 or q? 1/17 Suppose 258 = -4*m - 5*d - 373, m + 5*d + 169 = 0. Let b = 157 + m. Which is bigger: b or 5/3? b Let c be (-22311)/(-136620) - (-1)/(-4). Let p = 131327/115 - 1142. Let q = c - p. Which is smaller: -1 or q? -1 Suppose -6*r + r + 10 = 0. Let b = -1 + r. Let x = 652/629 - 34/37. Which is smaller: b or x? x Let r(g) = -935*g. Let p be r(1). Let m = -10230899/10953 + -140/3651. Let d = m - p. Is d < -2/7? False Let t = 929 + -929. Which is bigger: 2/83731 or t? 2/83731 Let d(m) be the second derivative of 5*m**4/12 - m**3/3 + m**2/2 - 6*m. Let a be d(1). Let o be a + 2 + -1 + -3. Is o smaller than 8? True Let s be 4/(-2)*(-2)/(-4). Let p be (-18)/(-24) - 30/8. Let k be (3 - 5)/(p/(-2)). Which is smaller: s or k? k Let n = 689 - 685. Suppose -2*h - 3*g - 10 = 0, n*h - 4*g = 7*h + 13. Which is smaller: 2/635 or h? 2/635 Suppose -20*q = -21*q + 3*f + 10386, 4*q + 4*f = 41640. Which is greater: q or 10403? q Let s = -253492/45 + 5634. Is s < 0? False Let w be 1200/(-5400) - 10/(-72)*94. Which is smaller: w or 14? w Let q(j) = -4*j**2 + 45*j - 185. Let f be q(9). Which is bigger: 2 or f? 2 Let w = 4 - 6. Let x be w/(4 + (-3)/1). Let j be ((-11)/374)/(11/528). Which is greater: j or x? j Let g = 22198 - 444067/20. Let r = g + 28/5. Is r <= -0.02? False Suppose -8*x - 214 = -6*x. Let j = -96 - x. Suppose 6*w - j*w - 5 = 0. Which is smaller: -10 or w? -10 Let m be (-142)/(-6) + (-2)/3. Suppose -x + m = -28. Suppose 9 = 5*c - x. Which is smaller: c or 11? 11 Let w = -455.02 + 114.02. Is -16 at least as big as w? True Let i = 11 + -10. Let a be 21/105 + (-2828)/(-10) + 1. Let z = a + -288. Which is smaller: z or i? z Let u(m) = -m**3 - 23*m**2 + 150*m - 366. Let t be u(-31). Is 2672 at most as big as t? True Let h = -354.2 - -351.2. Let a be 31*(-2 + (0 - -1)). Which is greater: h or a? h Let c = -1/828 + -1229/10764. Let m(x) = 2*x - 7. Let p be 6/(-39) + (-216)/(-52). Let j be m(p). Which is smaller: j or c? c Suppose -2352372 = -135*q - 7*q. Is q <= 16566? True Let t = 276341/230 - 2403/2. Let z be -4 + -1 - -2 - -4. Is t greater than z? False Let s = 290.835 + -0.635. Let l = s + -290. Which is greater: l or 1.93? 1.93 Let w be -2*429/(-22) + -5. Let m be (-5)/(-1) - w/(-34). Let l = 19 + -8. Are l and m equal? False Let k = 23656149/1828 + -12941. Is k at most as big as -0.4? False Let k = -5 - -10. Suppose k*f - 335 = 5*y, 0 = 7*y - 12*y + 3*f - 325. Which is greater: -63 or y? y Let l be 9/(270/35) - 20/48*2. Which is bigger: 1/228 or l? l Suppose -148*o = -153*o + 595. Suppose -8*c + 1124 = 172. Is o at least c? True Let m = 102 - 85. Let z = -28 + m. Let f = 12 + -15. Is f != z? True Let n = 254.104 + -254.28. Which is bigger: n or -0.051? -0.051 Let v = 15 + 596. Let z = 643 - v. Let w = 27 - -4. Which is greater: w or z? z Let y = -14501 - -14501. Is 2/2787 less than y? False Suppose -9*a + 7*a + 20 = 0. Suppose 3*h + 11 = -5*y, -y + 4*h + a = -3*y. Let x be 15*(2 + y - 2 - 0). Is -13 not equal to x? True Suppose -13*b + 17*b = -16*b - 5400. Which is smaller: b or -2? b Let y = 230476839968719244 - 6661726552047233875352975/28904104. Let j = y + -25/781192. Let l = 557 + j. Which is smaller: 0 or l? l Let u(f) = f**3 - 35*f**2 - 4*f + 139. Let a be u(35). Is a greater than -20/659? False Let q(x) = 82*x + 56. Let j be q(4). Let w = j + -362. Is w != 22? False Suppose -10*i + 4*i = 30. Suppose 4*l = 5*x - 7, 15*l - 13*l + 2 = 4*x. Is l > i? True Let g be ((-14)/((-196)/273))/(6/(-104)). Let j = 677/2 + g. Is -145 at most j? True Let n = 1039 + -10399/10. Let o be 31/(-18) - (-69)/46. Is n < o? True Suppose 375*q - 377*q = -2. Is q less than -367? False Let v = 46 + -37. Suppose x - 4*x + v = 0. Let h be x/5*15/24. Which is bigger: -1 or h? h Let f be ((-4)/(-14))/((-42)/(-147)). Let v(k) = -241*k**3 + k**2 - 2*k + 2. Let w be v(f). Let g = -158 - w. Which is greater: g or 81? g Suppose -107 + 575 = -2*d - 4*n, 0 = 4*n - 8. Which is smaller: -2146/9 or d? -2146/9 Suppose -10*c + 52 = 32. Suppose 2*h + 2 = -2*w, c*w + 5 - 3 = h. Is w > 3/65? False Let m be ((-5 + 2)*85/272)/((-258)/14). Which is smaller: -1 or m? -1 Let g(n) = -6*n + 8. Let i be g(1). Suppose 3*r - 2*k + 107 = -i*r, -3*r - 65 = -2*k. Which is smaller: -12 or r? r Let r = -8.8 + 11.8. Let q = -0.3 - -28.3. Let z = 27.2 - q. Which is greater: z or r? r Let n be (19/(-57))/(1822/(-6)). Which is smaller: n or 0? 0 Let o be 1/(-2 + 2 + -16). Let d = o + 3/112. Suppose 9*u - 6*u - 2*f = 0, 0 = -2*u - 4*f. Which is smaller: d or u? d Let y = 169 - 169. Let i be (y - 0) + (-784)/364. Which is greater: -1 or i? -1 Let z(k) = 1608*k + 3152. Let o be z(-2). Is -2982/47 <= o? False Suppose -82 = -6*k + 44. Suppose k = 4*h + 5. Let o be (h + -1 + -1)*(-9)/(-10). Are 1 and o non-equal? True Let f be 33/(-5)*(-1980)/17226. Which is smaller: 1.6 or f? f Let g = -12250/19 + 645. Let j(l) = 60 + l - 32 - 23. Let d be j(-5). Is d greater than or equal to g? False Let n = 8521 + -8521.0311. Which is smaller: 0.1 or n? n Let p be (-8)/(-6) + (-26)/(-13) + -
{ "pile_set_name": "DM Mathematics" }
implify (y**(-2/3))**(2/25)/(y**(-2/7)*(y/((y/y**(2/11))/y))/y) assuming y is positive. y**(292/5775) Simplify a**(-24)*a*a**(-2/57)*a**7/a**(2/11) assuming a is positive. a**(-10168/627) Simplify (c*c**(-17)*c**(-6))/(c**(2/7)*c*c**(-13)) assuming c is positive. c**(-72/7) Simplify (l**(2/13)*l/((l*(l/(((l/(l/((l/(l**(-2/5)/l))/l)*l))/l)/l))/l)/l*l))/(l/(l/(l**(-2)*l))*l*(l*l/(l**(-10)*l))/l) assuming l is positive. l**(-744/65) Simplify (l*l**(-9)*(l/l**0)/l)/((l**(-12)/l)/(l*l*((l*(l/(l/(l/(l/(l/(l*l/((l*(l*l*((l**(-8/3)/l)/l)/l)/l*l)/l)))))))/l)/l)/l*l)) assuming l is positive. l**(4/3) Simplify (j**27*j/((j/j**(8/11))/j))/(j**(-1)/j*j/j**10) assuming j is positive. j**(437/11) Simplify (((s**(-26)/s)/s*s**27)**29)**41 assuming s is positive. s**(-1189) Simplify (p**(-3)*p)**(20/7)/(p**5)**(-2/15) assuming p is positive. p**(-106/21) Simplify ((p**(-7/6)/p**(-4/9))**(-2/5))**(-1/35) assuming p is positive. p**(-13/1575) Simplify ((x/x**14)/((x/(x*x**(-1/5))*x)/x))/(x**(-3/4)*x*(x/(x/(x**(-19)*x)))/x) assuming x is positive. x**(111/20) Simplify y**14*(y/(((y/(y*y*y**(4/7))*y)/y)/y))/y*y*y/(y*y/(y**(9/4)*y))*y*y**(-5)*y assuming y is positive. y**(471/28) Simplify (y**20)**(-34)/(y*y**(-28)*(y**(-28)/y*y)/y) assuming y is positive. y**(-624) Simplify (l/(l/(l*l*(l**(7/4)*l)/l)))/(l**(-2/5)*l)*l*l**(-3)*l**15 assuming l is positive. l**(323/20) Simplify ((y**2/y)**(-1/8)*(y*y**2)/y**1)**(1/12) assuming y is positive. y**(5/32) Simplify (n**(-3)/n*n**(-15))/(n**(-10)*((n/((n/n**2*n)/n))/n)/n) assuming n is positive. n**(-9) Simplify g**(-11)*g**21*(g*g/((g**4/g)/g))/((((g**(6/7)/g)/g*g)/g)/g) assuming g is positive. g**(85/7) Simplify ((((v*v/v**6)/v)/v*v)/v)/(v*((v/((v*v/(v/v**(-6)))/v*v))/v)/v)*((v*v**(-10))/v)/((((v*v*v*v*v**8)/v)/v)/v) assuming v is positive. v**(-30) Simplify t**(-1/25)*t**(-15)*t**29*t*t**4*t assuming t is positive. t**(499/25) Simplify v**(-12)/v**(-8)*v*v**(-10)*v/(v*v*v**(-7)*v)*v assuming v is positive. v**(-7) Simplify f*f/(f/f**6)*f*f/f**(-1/2)*(f**0)**(-29) assuming f is positive. f**(19/2) Simplify (o**(-1/8)/o**(-6))/((o/o**6)/(o*o*o/(o**21/o)*o)) assuming o is positive. o**(-41/8) Simplify (g**(-32)*g*g**36)**(-2/11) assuming g is positive. g**(-10/11) Simplify (a*a**(-11)*a**(4/15))/(a**(-1/18))**(3/17) assuming a is positive. a**(-1653/170) Simplify (m**(3/5)*m/m**(-18))/(m**(-3/11))**29 assuming m is positive. m**(1513/55) Simplify (((c/((c/(c*c**(-11/5)))/c))/c*c)/c**(-3/2)*c**(1/5)*(c**11/c*c)/c)**25 assuming c is positive. c**(575/2) Simplify (((x/x**(-19/3))/x)/x)/((x/(x**(-3/10)*x*x))/x)*x**(-1/8)/(x/((x/(x**17*x))/x*x)) assuming x is positive. x**(-1331/120) Simplify (l**(14/5)*l/(l/(l**3*l)))/(l**(-20)*l*l/(l*(l*((l/(l/l**(-2/17)))/l)/l*l)/l)*l) assuming l is positive. l**(2013/85) Simplify (((n/(n/n**0*n)*n)**(-27))**(-40))**20 assuming n is positive. 1 Simplify ((y**(4/5)*y*y*y)/(y/(y*y**14*y*y)))/(y*y/(y*y**(-9/4)))**44 assuming y is positive. y**(-616/5) Simplify (s*s**3/s*s)**34*(s**(-1)*s)**(-17) assuming s is positive. s**136 Simplify (r**(-1/10)/r*r**(-2)*r/((r*r**(5/4))/r)*r**(-6)/r)**8 assuming r is positive. r**(-414/5) Simplify (((s*s**(-5)/s)/s**(3/19))**(20/7))**21 assuming s is positive. s**(-5880/19) Simplify m*m**19*m*m/m**29*m**(-2/7)*m/(m*(m*m*m*m**(-1/20))/m) assuming m is positive. m**(-1293/140) Simplify (x**3/x)**(1/9)/(x**(-3))**40 assuming x is positive. x**(1082/9) Simplify ((q*q/q**(1/3))/((q*q/q**11)/q))/(q**1/(q*(q**(-3)/q*q*q)/q)) assuming q is positive. q**(26/3) Simplify (h**(-2/3))**23*(h**(-1/10))**(-32) assuming h is positive. h**(-182/15) Simplify (y**(1/5))**(19/3)/(y**(-1/9))**(7/10) assuming y is positive. y**(121/90) Simplify ((b/(b*b/b**(-2/3)))**(-11/9)*((b/b**(-2/5))/b)**(-25))**30 assuming b is positive. b**(-2150/9) Simplify (k**(2/13)/k)**(-15/4)/(k**(-3))**20 assuming k is positive. k**(3285/52) Simplify ((q*q*(q/q**1)/q*q*q*q**(-1))**(-5))**(-43) assuming q is positive. q**430 Simplify (((c**3/c*c)/c**(-3))/((c**(-2/5)*c*c)/c**0))**(2/7) assuming c is positive. c**(44/35) Simplify ((x/(x/(x/x**(10/3)))*x*x)/(x*x**(11/4)))/(x**15/(x/(x/x**(-4)))) assuming x is positive. x**(-277/12) Simplify (y*((y**(-1/9)*y)/y)/y)/(y/(y**(-32)/y))*y**(-2/5)/(y/(y/(y**27/y))) assuming y is positive. y**(-2723/45) Simplify (d**(1/4)/d*d*d**4*d)/(d**(-4)/(((d/d**(-8/7))/d*d*d)/d)) assuming d is positive. d**(319/28) Simplify ((v**6*v*v*v**(-4))**(-17))**29 assuming v is positive. v**(-1972) Simplify (v**31)**(-37)*v**16/(v*v**11/v*v) assuming v is positive. v**(-1143) Simplify ((i**10/(i*i**2))/((i*i**(1/3)/i)/i)**(2/7))**(-24) assuming i is positive. i**(-1208/7) Simplify ((m**3)**(-2/3)/(m**(3/2))**46)**(3/34) assuming m is positive. m**(-213/34) Simplify (y**(-2/5)/y**(-3/2))/((y/(y*(y/y**5)/y))/(y/y**(7/6))) assuming y is positive. y**(-61/15) Simplify (((g/(g**(-3/5)*g))/g*g**5/g*g)**(-18))**(-31) assuming g is positive. g**(12834/5) Simplify ((l**(-2/11)/(l**(1/5)*l*l))/(l/l**(-1))**41)**36 assuming l is positive. l**(-167076/55) Simplify ((d*d/(d**(1/3)/d))/(d*d**(-4)))/((d*d**(-15))/d**(-17)) assuming d is positive. d**(8/3) Simplify z**(-17/5)*z**(-15)*(z*z**(7/2)*z)**30 assuming z is positive. z**(733/5) Simplify (w*w**(-2/5)*w)**(-19)*((w/(w/w**(-11)))/w)/(w**(-5)*w*w) assuming w is positive. w**(-197/5) Simplify ((v/(v**(-1/11)/v)*v/(v/(v/(v*v**(-24)/v)))*v)**(7/5))**(-20) assuming v is positive. v**(-8652/11) Simplify z**(-9)/(z*z**(3/4))*z**(-15/2)/z*z**(1/2) assuming z is positive. z**(-75/4) Simplify q*q**(-34)*q/(q**39*q)*(q/q**(-3/28)*q)**(-3/14) assuming q is positive. q**(-28401/392) Simplify (t**29*t*t*t**(-6/25)*t)/((t**4*t)/(((((t/(t*t/((t/(t*t**33*t))/t)))/t)/t)/t)/t)) assuming t is positive. t**(-331/25) Simplify (((r/(r**(-6)/r*r)*r)/(r**(-1/10)/r))/(r**(-2/5)*r)**49)**(5/9) assuming r is positive. r**(-203/18) Simplify (y**(-2/3)*y)/((y**(1/14)/y)/y*y)*(y/y**(2/19))/y*y*y**(-8/5) assuming y is positive. y**(2221/3990) Simplify (a/(a/a**(-3))*a/(a*a**(4/7))*((a*a**(-3/2))/a)/(a**(-2)*a))**(-6/5) assuming a is positive. a**(171/35) Simplify a/a**(2/27)*(a**(-2)*a)/a*a*(a*a/a**(-1))/(a**(-4)/a*a) assuming a is positive. a**(187/27) Simplify (a**(-1/3))**(-15/8)*a**(-7/5)/(a/a**(-21)) assuming a is positive. a**(-911/40) Simplify ((x/(x/(x*x**(2/19))))/(x*x*x*x*x/x**(-35)))/((x/(x/x**(-12/5)))/x*x**(7/3)) assuming x is positive. x**(-10781/285) Simplify y**(-12)/(y**12*y)*(y**3)**(-28) assuming y is positive. y**(-109) Simplify ((((y*y/y**(-12))/y)/y)/y*y/(y/y**17))/(y**(-3/5)/y**4) assuming y is positive. y**(163/5) Simplify (m**(-4)/((m*m**(23/4))/m))**(-24) assuming m is positive. m**234 Simplify x**(6/11)/(x/(x/(x/(x/(x/(x*x/x**(2/3)*x)*x)*x))))*(((x*x*x/(x**(3/4)*x)*x)/x)/x)**(7/3) assuming x is positive. x**(325/132) Simplify k*k*k**(-4/3)*k*k**(-9/5)*(k**0/k)/((k*(k/(k/(k/k**(-22))))/k)/k) assuming k is positive. k**(-347/15) Simplify (v**(-1))**(-15)*(v**(-3))**(-4/11) assuming v is positive. v**(177/11) Simplify ((((z*z*z**(-15)*z)/z)/z*z*z)/z)/(z**(-6/13)/z)*z**(-12)*z*z**(11/4) assuming z is positive. z**(-1029/52) Simplify ((j/(j/j**(-1)))/j)/(j*j**(-17)/j)*(j*j*j**(3/4)*j)**44 assuming j is positive. j**180 Simplify ((l**6*l*((l*l**(-2))/l)/l)/(l**(-2/7)*l**(2/7)))**(3/25) assuming l is positive. l**(12/25) Simplify ((n**4/n**(-1/4))**(1/5))**33 assuming n is positive. n**(561/20) Simplify (c**(-2/9)/c**(4/19))/(c**23/c**(-12/17)) assuming c is positive. c**(-70171/2907) Simplify ((b*b*b*b**(-12)*b)/((b**(3/10)*b)/b*b))/(((b*b**13*b*b)/b)/b**(-13)) assuming b is positive. b**(-373/10) Simplify (m/m**16*m/((m/(m*m**(-4/5)))/m)*m)/(m/(m*m*m*m**(-2))*m**(-3)) assuming m is positive. m**(-49/5) Simplify (k**(2/11)*k**(5/4))/(k**(-6/11)/k)**(-18) assuming k is positive. k**(-1161/44) Simplify (c**(-2/7)/(((c*c*c*c**10)/c)/c))/(c**5*c*c**(-6/7)) assuming c is positive. c**(-115/7) Simplify ((c**(1/16)/c*c**6)**(-35))**47 assuming c is positive. c**(-133245/16) Simplify (y**(-4/5)*y**(-10/3))/((y/y**(-2/35))/(y**3*y*y)) assuming y is positive. y**(-4/21) Simplify (c**(1/25)/(c*c**6))/(c/(c**(5/6)/c)*c**16) assuming c is positive. c**(-3619/150) Simplify ((y/y**(2/5))/y)**(-1/30)*(y**(1/9)/y)**(5/8) assuming y is positive. y**(-122/225) Sim
{ "pile_set_name": "DM Mathematics" }
(288) - sqrt(288))) + 1)**2. -16*sqrt(2) + 24 Simplify (5*-4*(sqrt(190) + sqrt(190)*2)*-6)/((sqrt(120) - (sqrt(120) - (sqrt(120) - 2*sqrt(120)*-2)) - sqrt(120))/(sqrt(900)/sqrt(3) + sqrt(12))). 540*sqrt(19) Simplify 1*sqrt(14)/sqrt(8) + 2*sqrt(63)*2 - ((-3 + sqrt(14)/sqrt(2))**2 + ((0 + sqrt(847))**2 - sqrt(847)) + 2). -865 + 59*sqrt(7)/2 Simplify (5*(-5*(sqrt(128) + -1 + sqrt(128) + -2)*6*-1 + 1)*-4)**2. -34176000*sqrt(2) + 187488400 Simplify (-2*(sqrt(1728) + 1*sqrt(1728))*-1)/(((sqrt(32)/sqrt(2))/sqrt(4) - (sqrt(4) - (sqrt(4) - sqrt(4)*-2*-5)))*1). -16*sqrt(3)/3 Simplify (-1*(sqrt(1029) + (1*-2*sqrt(1029) - sqrt(1029))))/(-1*(sqrt(192) - 1*sqrt(192) - sqrt(192)) - (sqrt(192) + (2*sqrt(192) + sqrt(192))*-2))*-6. -7*sqrt(7)/4 Simplify -4 + (((-2*sqrt(156))/sqrt(6))/sqrt(2) + 4 + -3)**2 + 1 + -1. -4*sqrt(13) + 49 Simplify -5*(3 + (6*(sqrt(896)*-2 - sqrt(896) - sqrt(896)) + sqrt(896) - sqrt(896))/(-4*sqrt(8)*-1*6)) + 4. -11 + 20*sqrt(7) Simplify (1 + (0 + -1 + sqrt(2448) - (sqrt(2448)*3 + 1) - (4*(-4 + sqrt(2448)) + 0)))**2. -2160*sqrt(17) + 88353 Simplify (-1*2*sqrt(2560)*-2)/(((sqrt(72) + sqrt(8))*-4 - sqrt(48)/(sqrt(12)/sqrt(2) + sqrt(6)))*4). -16*sqrt(5)/33 Simplify ((-1*(sqrt(72) + -1) - (sqrt(72) + -4 + sqrt(72) + 4 - sqrt(72))) + -5 + sqrt(72) + sqrt(72)*-1*3 + -4)**2. 384*sqrt(2) + 1216 Simplify -5*((3*(sqrt(2430)*-1 - (sqrt(120)*-2)/sqrt(4)))/(-2*sqrt(66)/(5*sqrt(176))))**2. -1102500 Simplify (2 + ((sqrt(189) + (sqrt(189) + (sqrt(189) - (sqrt(189) + sqrt(189)*-2)*-1) - sqrt(189)))/(sqrt(108)*-3))**2 + 0)*-2. -79/18 Simplify (((sqrt(102) - 2*(2*sqrt(102) + sqrt(102))) + sqrt(102))*-1*-1)/((sqrt(24) - sqrt(72)/sqrt(27))/((sqrt(16) - sqrt(4))*1)). -6*sqrt(17) Simplify (sqrt(275) + 5*(sqrt(275) - (sqrt(275)*2 + sqrt(275))))**2*4 + (sqrt(1078)*-1)/(sqrt(4)/sqrt(2)*-2) + 0. 7*sqrt(11)/2 + 89100 Simplify 3 + -5 + (-4 + (1*sqrt(76) - sqrt(76)) + sqrt(76) + -4)**2 + -2. -32*sqrt(19) + 136 Simplify 3*(sqrt(105)/sqrt(27) + (-2*sqrt(35) + sqrt(35))*-1)/(((sqrt(50) - (sqrt(50) - sqrt(500)/(sqrt(30)/sqrt(3)))) + sqrt(50))/sqrt(10)). 2*sqrt(7) Simplify 5*(0 + -2*(sqrt(84) + (sqrt(84) - (sqrt(84) + (sqrt(84) - -2*sqrt(84)*-5))))/(sqrt(12) - (2*sqrt(1728) - sqrt(12))) + 5)**2. 500*sqrt(7)/11 + 18625/121 Simplify (4 + -4 + (5*-2*(-1 + sqrt(72)) - (-1 + 2*sqrt(72)*-5))**2)*-4. -484 Simplify (-4*sqrt(1088)*6 + -4 + 3 + -2 + sqrt(1088) + (sqrt(1088) + sqrt(1088) + -2)*2)**2*-5. -1964085 - 10640*sqrt(17) Simplify (((sqrt(60)/(2*sqrt(2)))/sqrt(2))/(sqrt(27)*4 - sqrt(6)/(sqrt(2)*-1))*-2*-5)**2. 125/169 Simplify 6*((sqrt(425) + -2)*-3 - (1*-1*sqrt(425) + sqrt(425)) - (-5 + 1 + (sqrt(425)*-1 - sqrt(425)) + sqrt(425)))**2. -1200*sqrt(17) + 10800 Simplify (-6*5*(sqrt(84) - (sqrt(84) - 2*sqrt(84))*-1))/((-3*-1*sqrt(72))/(sqrt(294) + sqrt(294)*1)). 0 Simplify (-4 + (1*sqrt(98) + 0 - (sqrt(98) - (-3 + 2*sqrt(98)))) - -2*((-5*sqrt(98) - sqrt(98)) + sqrt(98))*-1*-6)**2. 5684*sqrt(2) + 329721 Simplify 4*(5 + 0 + sqrt(242) + -2 + 3) + -3 + 0. 21 + 44*sqrt(2) Simplify (((3*sqrt(104) - sqrt(104)) + sqrt(104))*6)/sqrt(8) + (((sqrt(104)*2 + sqrt(104))*6)/sqrt(8))**2 + -2 + 2. 18*sqrt(13) + 4212 Simplify -3 + (sqrt(17) - -1*(sqrt(68) - sqrt(17)) - sqrt(170)/(sqrt(50)/sqrt(5)) - (-5 + -1 + sqrt(425))*1)*2. -8*sqrt(17) + 9 Simplify (sqrt(1331) - 2*sqrt(1331)*-5 - (-4 + 2*sqrt(1331)))**2 + ((0 + sqrt(99))*-1 + -5*2*sqrt(99))**2. 792*sqrt(11) + 119806 Simplify (-1*sqrt(864) + sqrt(864) + sqrt(864))/((3*sqrt(24))/sqrt(8)) - ((1*sqrt(504))/sqrt(7) + (-1 + sqrt(242) - sqrt(242) - sqrt(242))*-4). -46*sqrt(2) - 4 Simplify 1*((-3*-2*sqrt(810))/(((-2*sqrt(242))/sqrt(11))/sqrt(11)) + 2). -27*sqrt(5) + 2 Simplify -4*((-2*sqrt(128)*-2 + sqrt(128) - sqrt(128) - (sqrt(128)*-5 + sqrt(128) + -4)) + 2). -256*sqrt(2) - 24 Simplify -2*(-3 + ((sqrt(539) + 1 - sqrt(539)) + 1 + (sqrt(539)*-2 - sqrt(539))*5)**2). -242552 + 840*sqrt(11) Simplify 3*sqrt(108) + (-2*sqrt(3) + -3)**2 + ((sqrt(9) + -2*((sqrt(9) - (sqrt(9)*-2 + sqrt(9) + sqrt(9))) + sqrt(9)))/(4*(sqrt(3) + sqrt(6)/sqrt(2))))**2. 1371/64 + 30*sqrt(3) Simplify (sqrt(30)/(sqrt(10)*3))**2 + ((sqrt(192)*-1)**2 + sqrt(192) - sqrt(192)) + ((sqrt(24)/sqrt(4))/sqrt(2) - (sqrt(3) + sqrt(3) + 0)**2*1)*-3. -3*sqrt(3) + 685/3 Simplify 5 + -2 + (2*2*sqrt(350)/sqrt(10))/(sqrt(30)/(2*sqrt(6)) + 2*-2*sqrt(5)). -8*sqrt(7)/7 + 3 Simplify -5*6*(6*(2*sqrt(768) + sqrt(768) + sqrt(768)))/(3*6*(sqrt(4)*-1 - sqrt(4))). 160*sqrt(3) Simplify (sqrt(24)/(5*sqrt(24)/sqrt(2) + sqrt(12)) + 3)**2 + -3*(2 + sqrt(4)/sqrt(2) + 1). -2*sqrt(2) + 1/18 Simplify (sqrt(7) + sqrt(63) + 4 + -2*sqrt(7)*1 - (-2 + sqrt(28) + (-1 + sqrt(7))*1)) + 5. -sqrt(7) + 12 Simplify (4 + -6*(((0 + sqrt(20))*-1 - (sqrt(180) + 1 + sqrt(180) + sqrt(180))*-1) + 4) + 2)**2. 4608*sqrt(5) + 46656 Simplify 2*((sqrt(270)/(sqrt(10) + (sqrt(160) - sqrt(10))) + (-1*sqrt(1728) - sqrt(1728)))/(-4*sqrt(18)/sqrt(2) - sqrt(36)/(sqrt(8)/sqrt(2))))**2. 11907/200 Simplify (sqrt(4235) - sqrt(4235)*-2 - sqrt(4235) - sqrt(35))/(sqrt(21)/sqrt(3)*3) + (-1*(sqrt(720) + 0) - (sqrt(720) + 1 + sqrt(720) + -3))**2 + 0. -137*sqrt(5) + 6484 Simplify 5 + (sqrt(400)/(sqrt(10)*-2))/(sqrt(2) - (sqrt(2) + (sqrt(2) - (sqrt(2) + (sqrt(80)/sqrt(4))/sqrt(10) + sqrt(2)))) - 4*sqrt(2)*-2). -sqrt(5)/10 + 5 Simplify ((1 + sqrt(300))**2*-1 - 2*sqrt(300)*2) + -3*(-1 + sqrt(363))**2*3. -3577 + 138*sqrt(3) Simplify (1*(sqrt(200) - (2*(sqrt(200) + sqrt(200) + (sqrt(200) - 2*sqrt(200)) - sqrt(200)) - sqrt(200))))/((-2*sqrt(80))/sqrt(8) - sqrt(90)*1). -4*sqrt(5)/5 Simplify (1 + sqrt(396) + 0 - sqrt(396)*1*6)**2 - ((sqrt(396) - (sqrt(396) + -2 + -5)) + (-3*-1*sqrt(396))**2). -60*sqrt(11) + 6330 Simplify 3*(-2*sqrt(204)*1)/(sqrt(144)/(sqrt(36)/sqrt(3)) - sqrt(12) - sqrt(12))*2*6*-5. -360*sqrt(17) Simplify (-2 + (sqrt(704) + 1 + 1 - sqrt(704)) + 2 + (sqrt(704) - (sqrt(704) + -1)) + (-4 + (-2*sqrt(11) - sqrt(11)) - -4*sqrt(11)*2) + -1)**2. -20*sqrt(11) + 279 Simplify (5 + -4*(-5 + sqrt(21)/((sqrt(49)*1)/sqrt(7)))*-3)*6. -330 + 72*sqrt(3) Simplify (3*(4 + 2 + -3*(5 + sqrt(343) + 0) + -5 + 5))**2*-6. -171072 - 20412*sqrt(7) Simplify (1 + (3*(sqrt(55)/sqrt(125) + sqrt(11)) + (sqrt(77) - (sqrt(77) + sqrt(77) + (sqrt(77)*-1*-1 - sqrt(77))))/sqrt(7))**2 + -3)*5 + 5. 1834/5 Simplify (-3 + ((4 + sqrt(6336) + 1)**2 - (sqrt(121) - (sqrt(121) + (sqrt(121) - 2*sqrt(121)*3)))/(1*sqrt(1100))))*4. 958*sqrt(11) + 25432 Simplify 5 + -6*(1 + (((sqrt(600)*-1)/sqrt(12))/(sqrt(90)*2))**2) + 5 + -2. 7/6 Simplify ((-2 + -5 + 1*sqrt(2448) + (sqrt(2448) - sqrt(2448)*-2*-3) + sqrt(2448) + 1 + 0)*3)**2 + 2. 3888*sqrt(17) + 198614 Simplify (-3 + ((sqrt(117) + 2*sqrt(117) + -5)*5 - (1*sqrt(117) + sqrt(117) + -4 - (-2*sqrt(117) + -4 - sqrt(117))))**2)*3. -4500*sqrt(13) + 36966 Simplify ((sqrt(768)*1 - sqrt(36)/sqrt(3)*-3)*-6)/(sqrt(864) + sqrt(864) + -1*(sqrt(864) - sqrt(864)*-2) + sqrt(864) + sqrt(864) + sqrt(864)). -11*sqrt(2)/4 Simplify 3 + -1 + ((3*(sqrt(432) - sqrt(432)*-3) + -1 + 2*sqrt(432) + sqrt(432))*-1)**2. -360*sqrt(3) + 97203 Simplify ((sqrt(3744) - sqrt(3744)*-4) + sqrt(26) - sqrt(3744)*-1)/((sqrt(24) + sqrt(24) + 6*-1*sqrt(24))/(-1*sqrt(12)*5 + sqrt(12))). 73*sqrt(13) Simplify -4 + ((sqrt(84) + 6*(-1*sqrt(84) + sqrt(84)) - sqrt(84)) + sqrt(84)*1*-2 + sqrt(84))/((sqrt(12) + (2*sqrt(12) + sqrt(12))*-1)*2)*-2 + -1. -5 - sqrt(7)/2 Simplify 5 + (-5*(sqrt(720)*4 - sqrt(720) - sqrt(20)))/((sqrt(400) - sqrt(400)*2*5) + sqrt(400)). 17*sqrt(5)/16 + 5 Simplify ((-4*sqrt(980)*-3)/(-6*-3*sqrt(50)/sqrt(5)))**2*-6. -784/3 Simplify (2 + -5*(sqrt(176) + 4*((sqrt(176) - 1*sqrt(176)) + sqrt(176)) + -3 + -1 + sqrt(176))*-4*2)**2*2. -606720*sqrt(11) + 20325128 Simplify (sqrt(19) + sqrt(19) + 2*sqrt(1539) - -6*(sqrt(19) - sqrt(57)/sqrt(3))) + (-1 + sqrt(19)*-3)**2 + (sqrt(19) - (sqrt(1900) + -4))**2. -46*sqrt(19) + 1727 Simplify (1*sqrt(85)*-1 + sqrt(85))/(-3*sqrt(5)*1) + -3*(1*sqrt(68))/sqrt(4) + 2 + -3. -3*sqrt(17) - 1 Simplify -4 + -4 + (-1*sqrt(224) + sqrt(224))/sqrt(7) + (2 + sqrt(3200))**2 + ((sqrt(4608) + sqrt(4608) + 1)*3)**2. 1888*sqrt(2) + 169093 Simplify 1 + (5*(sqrt(242) + sqrt(242) + -1 + sqrt(242) + 4 + -3 + sqrt(242) + 2 + sqrt(242)))**2*-6*3. -2724299 - 99000*sqrt(2) Simplify (sqrt(1053)*2*-2 + sqrt(1053))**2*-2 - (((sqrt(1872) - (sqrt(1872) - -1*sqrt(1872))) + -2)*5)
{ "pile_set_name": "DM Mathematics" }
4? 0.64 What is the nearest to -1 in -114, 4, 0.027, 13? 0.027 What is the nearest to 1 in -0.042, 3454/9, 5? -0.042 What is the closest to 1 in 3, 119, -0.19, -2/11, 0.1? 0.1 Which is the nearest to 2/3? (a) -1/15 (b) -4/1095 (c) 5 b What is the closest to 0.3 in -4/5, -8, 19, -509, -1/6? -1/6 Which is the nearest to -3/8? (a) 0.2 (b) -2 (c) 456 (d) 4 a What is the closest to 39.898 in 1/15, -8, 1/4? 1/4 Which is the nearest to 359? (a) 3 (b) -0.17 (c) -1/2 (d) -1.3 (e) -3 a What is the closest to -9.4 in 10, -1, -2, -2654, 5, -0.2? -2 What is the closest to 1 in 13, 2, 93/5? 2 Which is the closest to 10? (a) -5 (b) 1160 (c) -2 (d) 58 (e) 0.5 e Which is the nearest to 1/4? (a) 1.26451 (b) -2/13 (c) -0.5 (d) -3 b Which is the closest to -2/7? (a) -5 (b) -1/3 (c) -0.4 (d) -3 (e) -1541615 b Which is the nearest to 3? (a) -16/7 (b) 0.05 (c) 12/44155 b What is the closest to -2 in 2/5, -1/5, -0.1, 14, 26, -0.246? -0.246 Which is the nearest to 342/2173? (a) 0.5 (b) 1 (c) -0.4 (d) 4 (e) 2 a Which is the nearest to -1/44? (a) 1383 (b) -4 (c) -1/14 c Which is the closest to -6? (a) 66581 (b) -9.5 (c) 0.5 b What is the nearest to -208 in -13/12, 2/17, 1, 2? -13/12 Which is the closest to -2? (a) 1321 (b) 0.38 (c) 0 (d) -8/3 d Which is the nearest to -71? (a) -13 (b) -3 (c) -0.1 (d) -12/7 (e) -5 a What is the nearest to -36 in 1, -2.3, 0, 20.8, -0.14, 1/5? -2.3 Which is the nearest to 139? (a) 0 (b) 17 (c) 0.1 (d) 2 (e) -20 b Which is the closest to -2954/5? (a) 2/17 (b) 0.11 (c) -1/2 c Which is the nearest to 1? (a) 0.34 (b) -12 (c) 3 (d) 0.3 (e) -0.408 a Which is the closest to -2/3? (a) 0 (b) -64404 (c) -2 a What is the nearest to 18 in 10, 1.5, 3, 41.8, 4? 10 What is the closest to -1 in 38, 0.2, -3, 0.3, -3626? 0.2 Which is the closest to 0.07? (a) 4 (b) 5/2 (c) -1/7 (d) -1/4425 (e) 1 d What is the nearest to -0.4 in 28161, -2/11, 0.4, 0, -7? -2/11 Which is the nearest to -7? (a) 100777 (b) -1/7 (c) 2 (d) -5 d What is the closest to -0.1 in 103, 4, 567, 1/10, 5? 1/10 What is the closest to 0.17 in -4/9, 4192, -3, -1/4? -1/4 Which is the nearest to -538? (a) 1 (b) 1/7 (c) 22 (d) -5 (e) -2/7 (f) 3 d What is the closest to 0 in -219, -0.02146, 4/11? -0.02146 What is the nearest to 6.6 in 0, 5, 17/7, 0.2, -3? 5 Which is the closest to -107/3? (a) -7892/9 (b) 1/3 (c) -0.3 c What is the nearest to -1 in -2, 4/5, -17.68, 2/3, 4? -2 Which is the nearest to 3/550? (a) -5 (b) 19 (c) -1/2 (d) 1/2 d Which is the closest to 104? (a) -3.3 (b) -11/5 (c) -3 (d) 4 (e) 1 (f) -0.4 d Which is the closest to 2/7? (a) 0.4 (b) 1 (c) -3371/9 (d) 1/5 (e) -41 d What is the nearest to 1/5 in -199, -5, -88? -5 Which is the closest to -23? (a) 3/5 (b) 29546 (c) 0 (d) -0.6 d Which is the nearest to -2/11? (a) 4 (b) -107079 (c) -5 (d) 0.5 (e) 0.2 e Which is the closest to 1.689? (a) -0.3 (b) -0.416 (c) 1/4 (d) 3/5 (e) 3/8 d Which is the nearest to 0.03? (a) 62 (b) 38/9 (c) -0.023 c Which is the nearest to -1/20175553? (a) -0.3 (b) -0.4 (c) -4 a What is the closest to 474 in 27, -2, -3/5, -4? 27 What is the nearest to 0.1269 in 0.3, 3, -1.9, 1? 0.3 Which is the closest to 2/1595? (a) -45/7 (b) 0.1 (c) -0.4 b What is the closest to 789/5 in -3, 169, 13? 169 Which is the closest to -2/7? (a) -0.13 (b) -1 (c) 68 (d) -3/7 (e) -0.14 d Which is the nearest to 0.0873? (a) 4/3 (b) -4 (c) -40 (d) 3/46 (e) -0.4 d Which is the closest to -1? (a) 10/7 (b) 15/47 (c) -8 (d) -12 b What is the closest to 1/3 in -123/7, -4/5, 63/64? 63/64 What is the nearest to 0.1 in -1/12, 20, 17, 0.5? -1/12 What is the closest to -0.2 in 3.9, 5, -2, -0.3, -13.5? -0.3 What is the closest to 1003 in 3.2, -3, 3? 3.2 Which is the nearest to -17? (a) -2 (b) 206.79 (c) -7 c What is the closest to 1530.98 in -0.4, 1.6, -14, 0? 1.6 What is the nearest to 1/2 in 71, 50.9, 0, -0.1? 0 Which is the nearest to -45/11? (a) -352526 (b) 3/5 (c) 0 c What is the nearest to -4 in 4, -3/4, -3912, -3, 6? -3 What is the nearest to -2/11 in -0.4, 2/747, 1131? 2/747 What is the nearest to 41 in -2, 1, 0.08, -1.691, -0.5? 1 What is the closest to -0.04 in -3/2, -0.034, -16, -107? -0.034 Which is the nearest to 39? (a) -3 (b) 0.05 (c) -16 (d) -103/3 (e) -0.5 b What is the closest to -1 in 22, -50/9, 1/5, -1/672, 3/5? -1/672 Which is the nearest to -59? (a) -8/395 (b) 0 (c) -0.5 (d) 3 c Which is the closest to -22? (a) 2638 (b) 4 (c) 60 b Which is the nearest to 1/3? (a) -5 (b) 1/2231 (c) 19 b What is the closest to -0.03 in -2, -3, -8, 6/5, -2/151? -2/151 What is the closest to -4/3 in 1/5, 2, 0, 5/327? 0 What is the closest to -0.11 in -0.2, 109762, -1, 1/12? -0.2 Which is the nearest to 71? (a) -4063 (b) 2/11 (c) -3/4 b What is the closest to 15979794 in 0.5, -0.3, 2? 2 Which is the nearest to -1689? (a) -6 (b) -0.1 (c) 107 (d) -4 a Which is the nearest to 49924? (a) 3 (b) 2/11 (c) -0.3 (d) -3 (e) 1/4 (f) -20 a Which is the nearest to -0.02789? (a) 3 (b) -24 (c) 1 c Which is the closest to 2289? (a) 3 (b) -0.4 (c) 6 (d) 0.06 (e) 2 c What is the nearest to 0.2 in 0, -6, -1, 54, -0.3, 443? 0 What is the nearest to 0 in 3, -0.4, -1/601, 2, -18.4? -1/601 Which is the closest to -580? (a) 317.6 (b) -1/2 (c) 1/2 b Which is the nearest to 26? (a) -2/9 (b) 0.3 (c) -3.392 (d) 5 d Which is the nearest to -1/4? (a) 6672.1 (b) -0.3 (c) 4 (d) -3 (e) -1 b What is the nearest to 0 in 4/3, 5, -12, 3.60696? 4/3 What is the nearest to 5/2 in 0.9, -14/9, -2/9, -34/7? 0.9 What is the nearest to -942 in -175/2, 0, 2/11? -175/2 What is the closest to 10/7 in -2, 108442, -3? -2 What is the nearest to -2164 in -2/7, 73, 5, 2, 3, -0.1? -2/7 What is the nearest to -45 in 12/25, 0, 0.102? 0 Which is the closest to 78/131? (a) 0.2 (b) -0.4 (c) -506 a Which is the nearest to 2/5? (a) 0.1 (b) -2/813 (c) 12.1 (d) -4 a What is the nearest to 39 in -0.4, -5, 8.5, 1/2, 0.2, -6/7? 8.5 What is the nearest to 0.3 in 2, 1.352, -186? 1.352 Which is the nearest to 0.037? (a) 2 (b) -75 (c) 884 a Which is the closest to 2/3? (a) 1.2 (b) 1/6 (c) -3/5 (d) -10.4 (e) 0.14 b Which is the closest to 3? (a) 4/15 (b) 2.6 (c) 7 (d) -0.2 b What is the closest to -1853 in -5, 0.063, -0.1, -3? -5 What is the closest to -1/761 in 1/5, 1/3, 2, 83? 1/5 Which is the nearest to 3438? (a) -1/9 (b) 14/5 (c) 2/7 (d) 7 d What is the nearest to 1/4 in 5207, 2/7, -1, -6, 0.16? 2/7 What is the closest to 0 in -2927349, 14, -5? -5 What is the nearest to -1/2 in 0, -1.74, -0.015, 1, 19? -0.015 Which is the nearest to 3199? (a) -1.761 (b) 21/5 (c) -0.1 b What is the nearest to 0 in -0.18, 19/3, 0, -0.31, -9? 0 What is the nearest to -490 in -22, 3, 4/9, 1/10, -4? -22 Which is the closest to 1? (a) 8 (b) -1 (c) -7/745 c What is the closest to -0.2 in 4, -0.1, 0.2, 1.81? -0.1 What is the closest to -2/7 in 0.3, -2, -5, 4018, 5452? 0.3 Which is the nearest to 3? (a) 3 (b) -40 (c) -2 (d) -49 (e) 6/7 a Which is the nearest to 1? (a) -25.94 (b) 2 (c) -443 b What is the closest to -2 in 236, 6, 1/5, -3, 21? -3 What is the nearest to -9/3847 in 3/7, 1/7, 0.3, 2/13, -2? 1/7 What is the closest to -24 in 1.6, 4478, 0.5, -5/2? -5/2 What is the closest to -6.69 in 4, 84932, -0.4? -0.4 Which is the nearest to -102976? (a) 4/5 (b) 5 (c) 2/5 (d) -2 (e) 2 d What is the nearest to 43 in 2/5, -61, -5, -2/39? 2/5 Which is the closest to -1/3? (a) 1/5 (b) -4 (c) 0.1 (d) -2/27 (e) -0.3303 (f) 4 e Which is the closest to 0.1? (a) 2 (b) -6 (c) 2.5 (d) 37 a Which is the closest to 0.1? (a) -0.1 (b) 7/5 (c) -1.015 (d) 6/13 a What is the closest to -14/9 in -1261, 0.5, 0.4, -1/3, 0? -1/3 Which is the nearest to 188? (a) -9/2 (b) -12 (c) 0.3 c What is the closest to -2 in -1/3, -5625, 3/5, -4, -17? -1/3 Which is the closest to 2/7? (a) -174 (b) -919 (c) 6 c Which is the nearest to -0.4? (a) 3/8 (b) -1/89 (c) -3 (d) -0.4 (e) -1161 d What is the closest to 1/4 in 62975.8, 0.4, -10? 0.4 Which is the nearest to 5/12? (a) 231 (b) 3/5 (c) -1/3 (d) 1.2 b What is the nearest to -2/3 in 0.13, 1, 20862, -5? 0.13 Which is the closest to 2/5? (a) 181 (b) -16/29 (c) -0.2 c Whi
{ "pile_set_name": "DM Mathematics" }
100010001010011110 Convert -2211321020 (base 4) to base 2. -10100101111001001000 Convert 284a8a8 (base 13) to base 15. 11c137b -113223122232 (base 4) to base 14 -b7811c What is -70a8c (base 14) in base 10? -270996 What is 100101011011010111011101 (base 2) in base 5? 10002431141 Convert -10300075 (base 8) to base 15. -2d57cc Convert -909b (base 13) to base 4. -10312331 Convert -14324434 (base 6) to base 4. -1320133012 What is -4d22d (base 14) in base 9? -318274 What is -172227 (base 9) in base 16? -1a07d What is 4ba9f (base 16) in base 7? 2430361 Convert 1330120112 (base 4) to base 7. 4221212 Convert 35122 (base 13) to base 15. 1da7a What is 1345cee (base 15) in base 16? d3f5e9 Convert -1001010101111000010111 (base 2) to base 15. -335914 Convert -4555b (base 14) to base 7. -1301044 Convert 121034125 (base 6) to base 10. 2290949 -1b77d19 (base 14) to base 13 -2acc3aa -102552352 (base 6) to base 2 -110111100000011101100 Convert -7204806 (base 11) to base 3. -212221201100120 Convert 1001001101111111001 (base 2) to base 8. 1115771 Convert -2210000211 (base 3) to base 13. -1bb86 Convert 99348 (base 11) to base 13. 50806 -55443543 (base 7) to base 12 -17286a9 12626991 (base 10) to base 13 28014c0 -111011100101111 (base 2) to base 9 -45761 What is 193366 (base 10) in base 5? 22141431 What is 42772 (base 14) in base 13? 58159 4042253 (base 6) to base 10 192345 -200a640 (base 13) to base 2 -100100111010011101101110 -100000232 (base 5) to base 10 -390692 Convert -499488 (base 12) to base 7. -13120151 Convert -3013101 (base 5) to base 3. -2102201010 11444420 (base 6) to base 2 1011000110101111100 Convert 100221351 (base 6) to base 2. 110011110100101000011 What is -10301200230 (base 4) in base 13? -34a775 Convert -858847 (base 11) to base 9. -2522706 What is -1356607 (base 9) in base 2? -10110110001100010100 What is 1255 (base 6) in base 11? 274 What is 2b629 (base 13) in base 6? 1433110 What is -11111210111012 (base 3) in base 15? -3254a8 Convert 1010100000001010101 (base 2) to base 13. c0850 What is 12310632 (base 8) in base 6? 134220134 Convert -101001001011001010110 (base 2) to base 16. -149656 Convert 1110110100111011001 (base 2) to base 9. 820412 What is 12410423 (base 6) in base 12? 176a13 -4452306 (base 8) to base 9 -2230843 Convert -196654 (base 11) to base 3. -120022201001 -4218ab (base 12) to base 13 -2a5396 What is 1a838 (base 15) in base 12? 41a98 Convert 1b09d (base 14) to base 3. 10111021220 -176245b (base 13) to base 6 -430540100 What is -3643216 (base 8) in base 11? -624163 314a60 (base 14) to base 6 55403524 Convert -233321023303 (base 4) to base 16. -bf92f3 -33a5a85 (base 11) to base 16 -5ad2cc What is 10330313223 (base 4) in base 11? 807149 100010111011110111 (base 2) to base 3 21021021211 Convert 36744673 (base 8) to base 5. 4034100241 What is 3c1778 (base 15) in base 9? 5385245 a9042 (base 12) to base 5 24113322 What is 138524 (base 9) in base 12? 41227 What is -185ca (base 14) in base 5? -3432101 What is 460634 (base 7) in base 10? 81953 -3557a67 (base 11) to base 4 -113222211133 What is 33186 (base 13) in base 4? 112212021 Convert -1322005110 (base 6) to base 12. -5346796 1001110110011110010 (base 2) to base 4 1032303302 What is a00b (base 16) in base 6? 513403 What is -1000002232 (base 5) in base 15? -288be7 Convert 47333 (base 12) to base 14. 26b43 Convert 626a5 (base 13) to base 16. 2b30d Convert -12384286 (base 10) to base 7. -210156535 What is 1222706 (base 10) in base 13? 33a6c4 7a1a7 (base 11) to base 14 30403 Convert daba4 (base 15) to base 3. 1022021200101 -8cb5a (base 16) to base 2 -10001100101101011010 Convert 150212632 (base 7) to base 13. 2094061 1304211200 (base 5) to base 13 87b088 -20bb601 (base 14) to base 13 -32a1cc5 What is 19b2988 (base 13) in base 16? 8186c4 1130411101 (base 5) to base 4 21320222221 306794 (base 12) to base 10 757984 What is 48061 (base 14) in base 3? 22221000110 Convert -a3c6 (base 15) to base 7. -202623 What is 33111232 (base 4) in base 7? 351115 What is 432330 (base 8) in base 9? 240316 Convert 20524415 (base 6) to base 2. 10010011000011111011 What is 60096 (base 10) in base 2? 1110101011000000 Convert -132544331 (base 6) to base 12. -a820a7 What is -41635260 (base 7) in base 13? -963c78 Convert -131302035 (base 6) to base 11. -1509891 -a0951 (base 14) to base 16 -5e3cb Convert -130525110 (base 6) to base 2. -1001110001011111100010 35112211 (base 7) to base 8 13575332 Convert -3030111001 (base 4) to base 2. -11001100010101000001 11304033 (base 5) to base 9 167148 What is -11820a0 (base 11) in base 10? -2052512 Convert 1150223 (base 6) to base 9. 102606 What is -1100301 (base 6) in base 15? -11261 What is -ce1b9 (base 15) in base 16? -9ff2d Convert -12835 (base 11) to base 16. -4785 d922 (base 15) to base 5 2432212 Convert 328219 (base 10) to base 13. b6518 What is 59619 (base 13) in base 7? 1251003 Convert 36966 (base 13) to base 3. 12002211010 120020020201 (base 3) to base 6 10231544 Convert 15481763 (base 9) to base 5. 3434331321 Convert 104315 (base 7) to base 4. 10132202 -511574 (base 8) to base 12 -81850 Convert 511410 (base 6) to base 11. 28507 102903 (base 10) to base 9 166136 Convert 14aa64 (base 11) to base 7. 1663546 -12ae8 (base 16) to base 9 -125862 -1119601 (base 11) to base 3 -10200120120002 What is 2002122011101 (base 3) in base 2? 100010000001010000111 -bda5d (base 14) to base 7 -3624646 What is 9ec55e (base 15) in base 13? 1757492 -1734b (base 16) to base 6 -2012015 -21d927 (base 16) to base 5 -1031441104 Convert -120a73 (base 13) to base 16. -69077 Convert -934 (base 12) to base 11. -1005 What is 1111110000001100110 (base 2) in base 13? 150c57 f6ef9 (base 16) to base 12 4093b5 Convert -aba70 (base 15) to base 8. -2051702 44332341 (base 5) to base 3 201122022101 Convert -362769 (base 13) to base 5. -312302114 374118 (base 16) to base 2 1101110100000100011000 Convert 271194 (base 12) to base 11. 4004a2 Convert -486b89 (base 14) to base 3. -11122212022021 Convert -12001201022 (base 4) to base 13. -43398b Convert 10002588 (base 9) to base 16. 490310 277301 (base 8) to base 12 48855 What is 6514473 (base 8) in base 6? 101210111 -4c4009 (base 15) to base 9 -6785470 -67b83 (base 12) to base 7 -1113621 -518c5 (base 13) to base 15 -2d62a 12535642 (base 8) to base 12 b3082a What is 1001001100110000 (base 2) in base 16? 9330 Convert 14a895 (base 14) to base 12. 2a9043 2b8097 (base 12) to base 6 23504311 -320302331 (base 4) to base 11 -149869 970374 (base 10) to base 8 3547206 3333214 (base 6) to base 14 4529c What is 1784219 (base 10) in base 9? 3318435 142030 (base 10) to base 14 39a90 What is 1043612 (base 11) in base 16? 1bff69 What is 62241326 (base 7) in base 4? 103322132330 What is -225747 (base 11) in base 14? -94b45 Convert -84e6d4 (base 16) to base 2. -100001001110011011010100 520425 (base 6) to base 16 a2a1 675ac (base 14) to base 6 5213140 What is 32042204 (base 5) in base 15? 54804 Convert 5015621 (base 7) to base 5. 122431140 Convert -21430300 (base 5) to base 7. -1404136 -66415022 (base 7) to base 6 -322322332 45b710 (base 12) to base 15 171876 What is 11d6df (base 16) in base 9? 2171651 What is 334342120 (base 5) in base 14? 2a7994 What is 12411550 (base 9) in base 8? 27166073 What is 45013 (base 9) in base 16? 74cd 289a531 (base 11) to base 4 102333021200 1101100100010001011 (base 2) to base 6 13310043 Convert 5318865 (base 9) to base 3. 12100122222012 Convert 2100113021 (base 4) to base 15. ba305 Convert -3d7605 (base 15) to base 7. -34112216 -194450 (base 11) to base 3 -120011201100 What is 35406054 (base 7) in base 10? 3128199 Convert -245330 (base 7) to base 3. -2021212102 What is 4159569 (base 10) in base 13? b283ab Convert -4298bd (base 14) to base 8. -10463337 Convert -839 (base 13) to base 4. -111320 What is -12131022310 (base 4) in base 5? -413123330 What is 235db (base 15) in base 4? 123201002 Convert -24214131 (base 6) to base 5. -143424023 What is 64a89 (base 12) in base 9? 222236 44403351 (base 6) to base 9 2458664 Convert -202000110011 (base 3) to base 13. -10a43a Convert -1331629 (base 12) to base 5. -1433003223 Convert -122201032103 (base 4) to base 2. -11010100001001110010011 What is -1a1042 (base 13) in base 2? -10100000111011010010 What is -1573
{ "pile_set_name": "DM Mathematics" }
efore 8:42 PM? 9:42 AM How many minutes are there between 5:05 AM and 4:22 PM? 677 What is 530 minutes after 5:22 PM? 2:12 AM What is 704 minutes before 1:59 PM? 2:15 AM How many minutes are there between 6:40 AM and 2:52 PM? 492 What is 596 minutes after 11:20 PM? 9:16 AM What is 104 minutes before 9:31 PM? 7:47 PM How many minutes are there between 7:56 PM and 6:13 AM? 617 How many minutes are there between 10:25 AM and 11:06 AM? 41 How many minutes are there between 2:37 AM and 6:08 AM? 211 What is 265 minutes before 5:10 PM? 12:45 PM How many minutes are there between 2:26 AM and 1:09 PM? 643 What is 572 minutes before 4:00 AM? 6:28 PM How many minutes are there between 2:53 PM and 12:41 AM? 588 What is 599 minutes after 1:29 AM? 11:28 AM What is 139 minutes after 6:08 PM? 8:27 PM How many minutes are there between 9:30 AM and 9:07 PM? 697 What is 664 minutes before 3:30 AM? 4:26 PM What is 490 minutes before 8:48 PM? 12:38 PM What is 277 minutes after 5:09 AM? 9:46 AM What is 48 minutes before 5:33 PM? 4:45 PM What is 77 minutes before 1:30 AM? 12:13 AM What is 20 minutes before 4:24 AM? 4:04 AM What is 195 minutes before 6:54 PM? 3:39 PM How many minutes are there between 11:59 AM and 4:11 PM? 252 How many minutes are there between 10:02 AM and 5:21 PM? 439 What is 128 minutes before 4:00 AM? 1:52 AM How many minutes are there between 9:52 PM and 11:33 PM? 101 What is 503 minutes after 4:19 AM? 12:42 PM How many minutes are there between 2:54 AM and 5:28 AM? 154 How many minutes are there between 4:40 PM and 10:07 PM? 327 What is 88 minutes after 3:07 AM? 4:35 AM What is 453 minutes after 11:56 AM? 7:29 PM What is 643 minutes after 10:34 PM? 9:17 AM How many minutes are there between 10:37 AM and 11:25 AM? 48 What is 373 minutes before 6:58 AM? 12:45 AM How many minutes are there between 3:29 PM and 3:12 AM? 703 What is 127 minutes before 9:26 PM? 7:19 PM What is 97 minutes after 8:33 AM? 10:10 AM How many minutes are there between 11:34 PM and 9:46 AM? 612 What is 573 minutes before 10:28 AM? 12:55 AM What is 660 minutes before 12:02 AM? 1:02 PM How many minutes are there between 7:39 AM and 10:00 AM? 141 How many minutes are there between 7:48 AM and 6:45 PM? 657 What is 67 minutes after 9:38 PM? 10:45 PM What is 35 minutes before 7:12 AM? 6:37 AM How many minutes are there between 9:06 PM and 5:17 AM? 491 How many minutes are there between 8:17 AM and 10:32 AM? 135 What is 60 minutes after 8:40 AM? 9:40 AM How many minutes are there between 4:46 PM and 12:25 AM? 459 How many minutes are there between 10:47 PM and 12:47 AM? 120 What is 493 minutes before 1:45 PM? 5:32 AM What is 558 minutes after 10:52 AM? 8:10 PM What is 305 minutes before 10:40 AM? 5:35 AM What is 103 minutes before 6:37 PM? 4:54 PM What is 50 minutes before 10:45 AM? 9:55 AM How many minutes are there between 7:41 AM and 9:22 AM? 101 How many minutes are there between 5:28 AM and 4:44 PM? 676 What is 401 minutes after 11:14 PM? 5:55 AM What is 647 minutes after 3:02 AM? 1:49 PM How many minutes are there between 3:27 AM and 4:58 AM? 91 How many minutes are there between 10:44 AM and 7:42 PM? 538 What is 120 minutes before 3:06 AM? 1:06 AM How many minutes are there between 8:45 AM and 1:50 PM? 305 What is 592 minutes after 6:22 AM? 4:14 PM How many minutes are there between 2:09 AM and 3:52 AM? 103 How many minutes are there between 7:15 PM and 3:17 AM? 482 What is 71 minutes before 11:21 PM? 10:10 PM How many minutes are there between 10:07 AM and 8:12 PM? 605 How many minutes are there between 5:16 PM and 4:41 AM? 685 What is 139 minutes before 11:54 AM? 9:35 AM How many minutes are there between 5:46 PM and 4:56 AM? 670 How many minutes are there between 5:11 AM and 10:53 AM? 342 How many minutes are there between 6:05 AM and 7:47 AM? 102 How many minutes are there between 11:34 PM and 1:04 AM? 90 How many minutes are there between 1:13 PM and 5:11 PM? 238 How many minutes are there between 1:03 PM and 1:47 PM? 44 How many minutes are there between 8:13 AM and 1:55 PM? 342 What is 703 minutes before 10:31 AM? 10:48 PM How many minutes are there between 3:16 PM and 1:32 AM? 616 What is 372 minutes after 7:31 AM? 1:43 PM What is 432 minutes after 11:58 AM? 7:10 PM How many minutes are there between 10:34 PM and 3:23 AM? 289 How many minutes are there between 6:53 PM and 6:18 AM? 685 What is 96 minutes before 7:38 PM? 6:02 PM How many minutes are there between 8:40 PM and 10:21 PM? 101 How many minutes are there between 9:58 AM and 8:07 PM? 609 What is 620 minutes after 7:55 PM? 6:15 AM How many minutes are there between 5:33 PM and 7:24 PM? 111 What is 587 minutes before 2:35 AM? 4:48 PM What is 101 minutes after 6:02 PM? 7:43 PM What is 693 minutes after 3:59 AM? 3:32 PM How many minutes are there between 1:58 PM and 10:42 PM? 524 How many minutes are there between 5:22 PM and 6:04 PM? 42 What is 641 minutes after 12:07 AM? 10:48 AM What is 472 minutes before 9:43 PM? 1:51 PM How many minutes are there between 6:49 AM and 5:33 PM? 644 How many minutes are there between 3:33 PM and 3:00 AM? 687 How many minutes are there between 4:37 AM and 4:04 PM? 687 What is 670 minutes before 10:20 PM? 11:10 AM What is 172 minutes before 8:59 AM? 6:07 AM What is 103 minutes before 5:43 AM? 4:00 AM What is 171 minutes after 8:19 AM? 11:10 AM How many minutes are there between 2:36 AM and 11:56 AM? 560 How many minutes are there between 12:51 AM and 9:31 AM? 520 How many minutes are there between 9:18 PM and 9:56 PM? 38 How many minutes are there between 12:36 AM and 1:12 AM? 36 How many minutes are there between 4:20 AM and 7:13 AM? 173 What is 126 minutes before 11:34 AM? 9:28 AM How many minutes are there between 12:19 PM and 5:36 PM? 317 How many minutes are there between 11:20 AM and 4:29 PM? 309 How many minutes are there between 6:19 AM and 5:52 PM? 693 What is 453 minutes after 5:04 PM? 12:37 AM What is 448 minutes before 12:06 PM? 4:38 AM What is 96 minutes before 10:10 AM? 8:34 AM How many minutes are there between 7:32 AM and 9:23 AM? 111 What is 688 minutes after 6:27 AM? 5:55 PM What is 102 minutes before 10:23 PM? 8:41 PM How many minutes are there between 3:24 AM and 5:00 AM? 96 What is 470 minutes before 6:27 AM? 10:37 PM How many minutes are there between 4:13 AM and 10:07 AM? 354 What is 401 minutes before 7:55 AM? 1:14 AM How many minutes are there between 10:19 AM and 9:58 PM? 699 How many minutes are there between 9:49 AM and 5:01 PM? 432 What is 42 minutes before 10:18 AM? 9:36 AM What is 237 minutes before 10:22 PM? 6:25 PM What is 240 minutes before 9:41 AM? 5:41 AM What is 636 minutes before 6:56 PM? 8:20 AM What is 490 minutes before 3:30 AM? 7:20 PM How many minutes are there between 6:02 AM and 3:57 PM? 595 How many minutes are there between 5:00 PM and 11:16 PM? 376 What is 328 minutes before 2:00 PM? 8:32 AM How many minutes are there between 5:33 PM and 12:56 AM? 443 What is 689 minutes before 3:26 AM? 3:57 PM How many minutes are there between 7:40 PM and 6:52 AM? 672 How many minutes are there between 3:09 PM and 6:52 PM? 223 How many minutes are there between 1:36 AM and 4:04 AM? 148 What is 647 minutes before 8:53 PM? 10:06 AM What is 631 minutes before 1:25 PM? 2:54 AM How many minutes are there between 11:49 AM and 9:56 PM? 607 What is 630 minutes before 5:07 AM? 6:37 PM How many minutes are there between 12:47 AM and 10:04 AM? 557 What is 165 minutes after 9:16 PM? 12:01 AM What is 429 minutes before 2:00 PM? 6:51 AM What is 270 minutes after 2:52 PM? 7:22 PM What is 246 minutes before 4:58 PM? 12:52 PM How many minutes are there between 7:57 PM and 1:28 AM? 331 How many minutes are there between 12:18 AM and 5:23 AM? 305 What is 669 minutes before 8:13 AM? 9:04 PM How many minutes are there between 6:10 AM and 2:15 PM? 485 What is 546 minutes before 12:03 AM? 2:57 PM What is 530 minutes after 11:04 AM? 7:54 PM How many minutes are there between 7:42 AM and 1:54 PM? 372 How many minutes are there between 3:09 AM and 1:34 PM? 625 What is 235 minutes before 5:08 PM? 1:13 PM How many minutes are there between 7:43 AM and 7:27 PM? 704 What is 385 minutes after 9:45 AM? 4:10 PM How many minutes are there between 11:35 AM and 9:45 PM? 610 What
{ "pile_set_name": "DM Mathematics" }
xffx? 1/190 Three letters picked without replacement from aaajajaaaajeaajaeejk. Give prob of sequence eej. 1/228 What is prob of sequence kzfm when four letters picked without replacement from {t: 1, f: 1, z: 2, m: 5, k: 1}? 1/504 Calculate prob of sequence ooww when four letters picked without replacement from {o: 2, r: 1, w: 8, i: 9}. 14/14535 Calculate prob of sequence ueeu when four letters picked without replacement from {u: 2, e: 6}. 1/28 Two letters picked without replacement from {n: 1, s: 2, v: 1, o: 2}. Give prob of sequence sv. 1/15 Two letters picked without replacement from {b: 3, m: 3}. What is prob of sequence bb? 1/5 Three letters picked without replacement from {r: 2, c: 1, h: 1, j: 2, b: 2}. Give prob of sequence bcb. 1/168 Calculate prob of sequence fc when two letters picked without replacement from {h: 2, f: 7, c: 4, s: 1, l: 2}. 7/60 What is prob of sequence viki when four letters picked without replacement from {k: 2, v: 2, i: 4}? 1/35 Two letters picked without replacement from essebesase. What is prob of sequence ba? 1/90 Three letters picked without replacement from zzzzzzkuzhhzzkuhuuh. Give prob of sequence hku. 16/2907 Two letters picked without replacement from {o: 2, q: 3, p: 3, g: 12}. What is prob of sequence qo? 3/190 What is prob of sequence nrr when three letters picked without replacement from {n: 2, r: 7, t: 8, z: 3}? 7/570 Two letters picked without replacement from {a: 3, l: 3, e: 3, c: 6, g: 4}. Give prob of sequence ag. 2/57 Three letters picked without replacement from {o: 10, b: 2}. What is prob of sequence bbo? 1/66 Two letters picked without replacement from {w: 3, x: 4}. Give prob of sequence ww. 1/7 Four letters picked without replacement from umhjuummuj. What is prob of sequence jmhm? 1/420 Three letters picked without replacement from {v: 5, a: 2, j: 7}. Give prob of sequence jvj. 5/52 What is prob of sequence jx when two letters picked without replacement from {o: 3, j: 2, x: 8, w: 2, n: 1, s: 4}? 4/95 Calculate prob of sequence wwfw when four letters picked without replacement from fqwwfpfiifgqwffiq. 3/4760 What is prob of sequence mm when two letters picked without replacement from gewkgememkkkw? 1/78 Four letters picked without replacement from {i: 4, w: 2, d: 1, u: 2}. Give prob of sequence dwuu. 1/756 Calculate prob of sequence oh when two letters picked without replacement from {o: 4, h: 10}. 20/91 Two letters picked without replacement from oqgxr. What is prob of sequence rq? 1/20 Three letters picked without replacement from fofofgooff. Give prob of sequence foo. 1/12 What is prob of sequence kz when two letters picked without replacement from {h: 4, z: 1, k: 8}? 2/39 What is prob of sequence dd when two letters picked without replacement from {q: 3, d: 4}? 2/7 Calculate prob of sequence dgjj when four letters picked without replacement from {j: 3, w: 1, d: 3, y: 4, g: 2, m: 3}. 3/3640 Calculate prob of sequence wwww when four letters picked without replacement from {w: 5, r: 7}. 1/99 Two letters picked without replacement from {s: 4, i: 12, b: 2, g: 1}. What is prob of sequence ii? 22/57 Calculate prob of sequence mmv when three letters picked without replacement from {m: 2, v: 17}. 1/171 What is prob of sequence xcq when three letters picked without replacement from {q: 1, k: 1, c: 1, a: 2, x: 2, d: 1}? 1/168 Three letters picked without replacement from {a: 11, c: 9}. What is prob of sequence cac? 11/95 Three letters picked without replacement from {b: 4, v: 4, i: 3}. What is prob of sequence bib? 2/55 Two letters picked without replacement from milfisfifmssflffmm. What is prob of sequence sl? 1/51 What is prob of sequence slvj when four letters picked without replacement from vlsyjslvvjsyysvvjyy? 5/3876 Calculate prob of sequence hijh when four letters picked without replacement from {h: 2, i: 7, j: 1}. 1/360 Four letters picked without replacement from mmmmymmmy. Give prob of sequence mymm. 5/36 Calculate prob of sequence fhh when three letters picked without replacement from {h: 2, x: 3, p: 2, f: 1, q: 1, s: 3}. 1/660 Calculate prob of sequence ff when two letters picked without replacement from {b: 1, k: 1, m: 2, f: 9, j: 5}. 4/17 Calculate prob of sequence jj when two letters picked without replacement from jnjnjjjjnjjnn. 14/39 Calculate prob of sequence wqmq when four letters picked without replacement from wqqrmrccrwrqmrmqcrw. 3/2584 What is prob of sequence cp when two letters picked without replacement from epcuueaaaapaae? 1/91 Calculate prob of sequence aaa when three letters picked without replacement from {a: 5}. 1 Calculate prob of sequence sswr when four letters picked without replacement from srsrudrssbwd. 1/330 What is prob of sequence uoud when four letters picked without replacement from uouuoooudodouo? 5/429 What is prob of sequence xtmx when four letters picked without replacement from {x: 6, m: 3, t: 4}? 3/143 Four letters picked without replacement from avaskkaaskkkaia. Give prob of sequence aaiv. 1/1092 What is prob of sequence pp when two letters picked without replacement from {p: 2, c: 2}? 1/6 What is prob of sequence qv when two letters picked without replacement from {v: 2, f: 1, c: 3, q: 1, z: 4}? 1/55 Calculate prob of sequence qvz when three letters picked without replacement from ehzqeehvrehz. 1/660 Four letters picked without replacement from {b: 2, o: 4}. Give prob of sequence boob. 1/15 What is prob of sequence ss when two letters picked without replacement from sannsssa? 3/14 Four letters picked without replacement from {a: 4, p: 6}. What is prob of sequence aaaa? 1/210 What is prob of sequence eao when three letters picked without replacement from oaeaoaaaaa? 7/360 Calculate prob of sequence isfj when four letters picked without replacement from {s: 2, m: 5, f: 6, j: 1, i: 5, b: 1}. 1/1938 Calculate prob of sequence ze when two letters picked without replacement from tejtjjeezzjjtztz. 1/20 Three letters picked without replacement from zzpefmp. Give prob of sequence pez. 2/105 Four letters picked without replacement from twwtw. Give prob of sequence wwtw. 1/10 Calculate prob of sequence ps when two letters picked without replacement from {p: 6, s: 4}. 4/15 Two letters picked without replacement from {f: 16, t: 4}. What is prob of sequence tt? 3/95 Calculate prob of sequence zzz when three letters picked without replacement from zzzzzzzi. 5/8 Calculate prob of sequence yba when three letters picked without replacement from aby. 1/6 Calculate prob of sequence waa when three letters picked without replacement from {l: 2, a: 2, x: 6, w: 2}. 1/330 Calculate prob of sequence ufa when three letters picked without replacement from aaffdffuadufadufaaf. 7/323 Three letters picked without replacement from ktbkbktvvbbvfbtvbv. Give prob of sequence bvk. 5/272 What is prob of sequence nn when two letters picked without replacement from hhhhbnnk? 1/28 What is prob of sequence kg when two letters picked without replacement from {k: 1, j: 1, l: 1, g: 3, e: 1}? 1/14 Calculate prob of sequence phh when three letters picked without replacement from phphhphpphpphhphhp. 9/68 Calculate prob of sequence qlgg when four letters picked without replacement from {l: 9, q: 2, g: 7, k: 1}. 21/2584 Calculate prob of sequence nnoi when four letters picked without replacement from {i: 1, n: 2, y: 1, o: 1, v: 1, x: 1}. 1/420 Four letters picked without replacement from eugggeububg. Give prob of sequence ubue. 1/330 What is prob of sequence drt when three letters picked without replacement from {r: 3, d: 1, t: 4}? 1/28 Two letters picked without replacement from {o: 1, s: 1, y: 1, q: 1, m: 2, r: 1}. What is prob of sequence yo? 1/42 Two letters picked without replacement from oaaaoooaeaaaaoaaf. Give prob of sequence oe. 5/272 What is prob of sequence nn when two letters picked without replacement from wewnowhnhhollhwlwhow? 1/190 Calculate prob of sequence lw when two letters picked without replacement from kwkalkkyoayalw. 2/91 Three letters picked without replacement from llululllllluuublu. Give prob of sequence bul. 1/68 What is prob of sequence pbz when three letters picked without replacement from ppbgpbbzgpbzbbzbbb? 3/136 What is prob of sequence ou when two letters picked w
{ "pile_set_name": "DM Mathematics" }
What is the j'th term of 387, 774, 1161, 1548, 1935? 387*j What is the g'th term of -4, -21, -52, -97, -156, -229? -7*g**2 + 4*g - 1 What is the o'th term of 671, 1356, 2041, 2726? 685*o - 14 What is the b'th term of -1120, -2146, -3182, -4234, -5308, -6410, -7546? -b**3 + b**2 - 1022*b - 98 What is the s'th term of -6, 10, 50, 126, 250, 434? 2*s**3 + 2*s - 10 What is the s'th term of 11, 142, 511, 1238, 2443, 4246? 20*s**3 - s**2 - 6*s - 2 What is the y'th term of -8, -30, -82, -176, -324, -538? -2*y**3 - 3*y**2 + y - 4 What is the d'th term of 2940, 5880, 8820, 11760, 14700, 17640? 2940*d What is the v'th term of 45, 108, 197, 324, 501? 2*v**3 + v**2 + 46*v - 4 What is the q'th term of -43, -37, -15, 29, 101? q**3 + 2*q**2 - 7*q - 39 What is the m'th term of -105, -366, -805, -1428, -2241, -3250, -4461? -m**3 - 83*m**2 - 5*m - 16 What is the c'th term of -20, -26, -36, -50, -68, -90, -116? -2*c**2 - 18 What is the g'th term of -50, -48, -46, -44? 2*g - 52 What is the w'th term of -1253, -2516, -3779, -5042? -1263*w + 10 What is the t'th term of -930, -3736, -8412, -14958, -23374, -33660? -935*t**2 - t + 6 What is the s'th term of -383, -397, -421, -455? -5*s**2 + s - 379 What is the v'th term of 17289, 17297, 17307, 17319, 17333, 17349? v**2 + 5*v + 17283 What is the a'th term of 19, 35, 51, 73, 107, 159? a**3 - 6*a**2 + 27*a - 3 What is the l'th term of -1035, -1078, -1149, -1248, -1375, -1530, -1713? -14*l**2 - l - 1020 What is the s'th term of 229, 251, 273, 295, 317? 22*s + 207 What is the q'th term of -8, -34, -108, -254, -496, -858, -1364? -4*q**3 + 2*q - 6 What is the k'th term of -1602, -1567, -1472, -1287, -982, -527? 5*k**3 - 1607 What is the h'th term of -119, -141, -161, -179? h**2 - 25*h - 95 What is the h'th term of -305, -609, -911, -1211, -1509? h**2 - 307*h + 1 What is the n'th term of 426, 437, 456, 483, 518, 561, 612? 4*n**2 - n + 423 What is the d'th term of 12, 17, 24, 33, 44, 57? d**2 + 2*d + 9 What is the l'th term of -60, -140, -230, -336, -464, -620? -l**3 + l**2 - 76*l + 16 What is the k'th term of 8429, 8445, 8487, 8567, 8697? 2*k**3 + k**2 - k + 8427 What is the n'th term of -587, -1090, -1591, -2090, -2587, -3082, -3575? n**2 - 506*n - 82 What is the z'th term of 0, -17, -50, -111, -212, -365, -582? -2*z**3 + 4*z**2 - 15*z + 13 What is the o'th term of -12, -24, -42, -66? -3*o**2 - 3*o - 6 What is the c'th term of -79, -232, -463, -778, -1183? -c**3 - 33*c**2 - 47*c + 2 What is the j'th term of 241, 242, 253, 280, 329, 406, 517, 668? j**3 - j**2 - 3*j + 244 What is the h'th term of 82, 105, 126, 145? -h**2 + 26*h + 57 What is the o'th term of 40817, 40816, 40815, 40814, 40813? -o + 40818 What is the t'th term of -338, -1382, -3138, -5618, -8834, -12798, -17522, -23018? -2*t**3 - 344*t**2 + 2*t + 6 What is the w'th term of 264, 530, 796? 266*w - 2 What is the k'th term of 830, 800, 772, 746? k**2 - 33*k + 862 What is the h'th term of -12, -17, -22, -27? -5*h - 7 What is the u'th term of 130, 125, 120, 115, 110? -5*u + 135 What is the d'th term of 223, 234, 243, 250, 255, 258, 259? -d**2 + 14*d + 210 What is the m'th term of 9, 2, -15, -48, -103, -186, -303? -m**3 + m**2 - 3*m + 12 What is the l'th term of -60, -132, -208, -288, -372? -2*l**2 - 66*l + 8 What is the w'th term of 190, 163, 136? -27*w + 217 What is the q'th term of -91, -91, -93, -97, -103, -111, -121? -q**2 + 3*q - 93 What is the p'th term of 243, 538, 833, 1128? 295*p - 52 What is the v'th term of -13, -46, -75, -100, -121, -138? 2*v**2 - 39*v + 24 What is the y'th term of 39, 49, 59, 69, 79? 10*y + 29 What is the w'th term of 7, 13, 19, 25, 31, 37? 6*w + 1 What is the r'th term of 1421, 2838, 4255, 5672, 7089? 1417*r + 4 What is the y'th term of -40, -129, -254, -415, -612, -845, -1114? -18*y**2 - 35*y + 13 What is the w'th term of -624, -625, -626? -w - 623 What is the u'th term of -25, -46, -105, -220, -409, -690, -1081? -3*u**3 - u**2 + 3*u - 24 What is the x'th term of -312, -310, -308, -306, -304? 2*x - 314 What is the w'th term of -37, -45, -45, -37? 4*w**2 - 20*w - 21 What is the q'th term of -20, -19, -18, -17, -16? q - 21 What is the z'th term of 724, 1431, 2124, 2797, 3444, 4059? -z**3 - z**2 + 717*z + 9 What is the m'th term of -10167, -20338, -30511, -40686? -m**2 - 10168*m + 2 What is the b'th term of -650, -653, -656? -3*b - 647 What is the k'th term of -77, -82, -89, -98, -109, -122? -k**2 - 2*k - 74 What is the c'th term of -246, -245, -244? c - 247 What is the j'th term of 211, 212, 213, 214? j + 210 What is the i'th term of -7307, -29225, -65747, -116867, -182579, -262877? i**3 - 7308*i**2 - i + 1 What is the i'th term of 191, 386, 583, 782, 983, 1186, 1391? i**2 + 192*i - 2 What is the m'th term of -218, -228, -250, -290, -354? -m**3 - 3*m - 214 What is the q'th term of 577, 574, 571, 568, 565? -3*q + 580 What is the j'th term of 50, 59, 58, 35, -22, -125, -286, -517? -2*j**3 + 7*j**2 + 2*j + 43 What is the h'th term of 65, 106, 147? 41*h + 24 What is the u'th term of -190, -469, -748, -1027, -1306, -1585? -279*u + 89 What is the k'th term of 24575, 24574, 24573, 24572, 24571, 24570? -k + 24576 What is the j'th term of 22, 40, 66, 100, 142, 192, 250? 4*j**2 + 6*j + 12 What is the v'th term of -354, -357, -364, -375, -390? -2*v**2 + 3*v - 355 What is the v'th term of 114, 448, 1006, 1788? 112*v**2 - 2*v + 4 What is the q'th term of -1160, -1157, -1154, -1151? 3*q - 1163 What is the w'th term of 1302, 2611, 3920? 1309*w - 7 What is the g'th term of 2, -2, -10, -22, -38? -2*g**2 + 2*g + 2 What is the u'th term of -1, 6, 15, 26, 39, 54? u**2 + 4*u - 6 What is the g'th term of 165, 324, 483, 642? 159*g + 6 What is the q'th term of 304, 610, 916, 1222, 1528? 306*q - 2 What is the w'th term of 88, 51, -18, -125, -276, -477? -w**3 - 10*w**2 + 99 What is the d'th term of 21, 13, -5, -39, -95, -179? -d**3 + d**2 - 4*d + 25 What is the v'th term of -119, -123, -129, -137? -v**2 - v - 117 What is the i'th term of 27, 12, -29, -108, -237, -428? -2*i**3 - i**2 + 2*i + 28 What is the m'th term of -76, -152, -228, -304? -76*m What is the i'th term of 61, 132, 209, 292? 3*i**2 + 62*i - 4 What is the y'th term of -60, -119, -186, -267, -368, -495? -y**3 + 2*y**2 - 58*y - 3 What is the m'th term of -14, 1, 40, 115, 238? 2*m**3 + m - 17 What is the f'th term of 7, 13, 21, 31, 43, 57? f**2 + 3*f + 3 What is the i'th term of 35, 30, 25, 20, 15? -5*i + 40 What is the n'th term of 35, 37, 41, 47? n**2 - n + 35 What is the q'th term of -93, -67, -41, -15? 26*q - 119 What is the z'th term of -145, -286, -419, -544, -661, -770, -871? 4*z**2 - 153*z + 4 What is the i'th term of -5, 12, 41, 82? 6*i**2 - i - 10 What is the v'th term of 57, 192, 407, 702, 1077, 1532? 40*v**2 + 15*v + 2 What is the n'th term of 3521, 7048, 10575, 14102, 17629? 3527*n - 6 What is the c'th term of -28, -10, 32, 110, 236, 422, 680? 2*c**3 + 4*c - 34 What is the b'th term of -79, -164, -241, -304, -347, -364, -349, -296? b**3 - 2*b**2 - 86*b + 8 What is the u'th term of -208, -207, -198, -175, -132, -63, 38? u**3 - 2*u**2 - 207 What is the x'th term of 74, 148, 222, 296, 370, 444? 74*x What is the s'th term of -61, -40, 5, 80, 191, 344, 545? s**3 + 6*s**2 - 4*s - 64 What is the m'th term of -334, -637, -942, -1249, -1558, -1869? -m**2 - 300*m - 33 What is the h'th term of -25827, -25824, -25819, -25812, -25803, -25792, -25779? h**2 - 25828 What is the q'th term of 519, 517, 515? -2*q + 521 What is the b'th term of -136, -298, -510, -796, -1180? -4*b**3 - b**2 - 131*b What is the j'th term of 4185, 4184, 4183, 4182, 4181, 4180? -j + 4186 What is the l'th term of -166, -162, -156, -148, -138, -126, -112? l**2 + l - 168 What is the x'th term of -61, -118, -175, -232, -289, -346? -57*x - 4 What is the n'th term of -169, -184, -201, -220? -n**2 - 12*n - 156 What is the t'th term of -74, -81, -92, -107, -126, -149? -2*t**2 - t - 71 What is the l'th term of 57, 88, 125, 168? 3*l**2 + 22*l + 32 What is the a'th term of 171, 151, 121, 75, 7? -a**3 + a**2 - 16*a + 187 What is the j'th term of 385, 382, 377, 370, 361, 350, 337? -j**2 + 386 What is the s'th term of -802, -796, -780, -748, -694, -612, -496? s**3 - s**2 + 2*s - 804 What is the x'th term of -219, -455, -691, -927? -236*x +
{ "pile_set_name": "DM Mathematics" }
rivative of l**5/5 - 79*l**4/6 + 115*l**3/3 - 38*l**2 + 269*l. Determine d so that h(d) = 0. 1/2, 1, 38 Let k(r) be the first derivative of 2*r**6/3 + 16*r**5/5 + 4*r**4 + 71. What is l in k(l) = 0? -2, 0 Find f such that -332*f - 5*f**2 + 0*f**2 - 5 + 687*f - 345*f = 0. 1 Solve 8*c**2 + 41*c**2 - 14*c**2 - 20*c - 15 = 0. -3/7, 1 Let r be (-1 - (-3)/1) + 0. Suppose -h - r = -4. Solve 6*y**2 - 4*y**3 - 7*y + 11*y**2 - 5*y**h - y = 0 for y. 0, 1, 2 Let l(v) be the first derivative of 3*v**4/4 - 3*v**3 + 3*v**2 + 83. Factor l(z). 3*z*(z - 2)*(z - 1) Factor -96/11 + 6/11*g**3 + 48/11*g + 42/11*g**2. 6*(g - 1)*(g + 4)**2/11 Let p(m) be the second derivative of -m**6/270 - m**5/18 - 2*m**4/9 - 11*m**3/3 + 16*m. Let v(j) be the second derivative of p(j). Solve v(u) = 0. -4, -1 Let m be 8*(-29)/(-6)*(-42)/(-28). Let b = 408/7 - m. Find y such that -2/7*y**3 + 0 + b*y**2 + 0*y = 0. 0, 1 Let n(p) be the first derivative of 3*p**5/20 + 9*p**4/4 + 27*p**3/2 + 81*p**2/2 + 6*p + 15. Let a(u) be the first derivative of n(u). Factor a(l). 3*(l + 3)**3 Let d be (2/(4/3))/(-29 - -32). Factor -3/2*q - 1/2 + d*q**5 + 3/2*q**4 + q**3 - q**2. (q - 1)*(q + 1)**4/2 Let b(v) be the second derivative of v**7/42 - v**6/6 + 7*v**5/20 + v**4/12 - 4*v**3/3 + 2*v**2 - 11*v. Suppose b(w) = 0. Calculate w. -1, 1, 2 Let k(j) be the third derivative of j**8/25200 - j**7/3150 - j**6/300 + 3*j**5/10 + 18*j**2. Let v(r) be the third derivative of k(r). Factor v(w). 4*(w - 3)*(w + 1)/5 Let o(j) be the third derivative of j**6/30 - 19*j**5/15 + 167*j**2. What is n in o(n) = 0? 0, 19 Let a(v) = -2*v + 6. Let c be a(8). Let h(q) = q**2 + 8*q - 17. Let f be h(c). Let -1/2 - j**f + 0*j**2 + j + 1/2*j**4 = 0. Calculate j. -1, 1 Let i be 0 - 0/(2/(-2)). Suppose i*g - 3*g = -18. Factor -6*o**4 - 3*o**3 + 2*o**5 + g*o**2 + 0*o**5 + o**5. 3*o**2*(o - 2)*(o - 1)*(o + 1) Suppose 4*f = -t + 74, -4*f - 236 = -4*t - 5*f. Let w be t/18 + -2*(-5)/(-45). Let -2/11*k**5 - 8/11*k**2 + 0 - 8/11*k**4 - 2/11*k - 12/11*k**w = 0. What is k? -1, 0 Let o be (-6)/((-1)/(-5)*5) + 6. Let n(z) be the third derivative of 0*z**6 + 1/15*z**5 - 2/105*z**7 + o*z**4 + 0*z + 0 + z**2 + 0*z**3. Solve n(h) = 0. -1, 0, 1 Suppose -5*c = -59 + 14. Determine i so that -i**2 - 8*i**2 + 5*i - 5*i**2 + c*i**2 = 0. 0, 1 Let y(q) be the third derivative of -q**6/1620 + q**5/180 - q**4/54 - 2*q**3 + q**2. Let c(x) be the first derivative of y(x). Factor c(p). -2*(p - 2)*(p - 1)/9 Let g(s) be the second derivative of -1/5*s**2 + 0 - 1/100*s**5 - 1/6*s**3 + 18*s - 1/15*s**4. Factor g(j). -(j + 1)**2*(j + 2)/5 Let u(c) = c**2 + 4*c - 12. Let f be u(-6). Let i = 9/41 + 55/123. Solve -4/15*w**2 + 14/15*w**3 - i*w**4 + f + 0*w = 0. 0, 2/5, 1 Let u = 646 + -970. Let s = 1672/5 + u. Factor 19*y**3 + 8/5 + s*y + 5*y**4 + 114/5*y**2. (y + 1)*(y + 2)*(5*y + 2)**2/5 Let b(f) = 9*f**3 + 367*f**2 + 8832*f + 8509. Let h(v) = -4*v**3 - 184*v**2 - 4416*v - 4250. Let a(p) = 2*b(p) + 5*h(p). Suppose a(z) = 0. What is z? -46, -1 Let w(x) be the second derivative of 7*x**7/6 - 623*x**6/30 + 2731*x**5/20 - 4945*x**4/12 + 1972*x**3/3 - 578*x**2 - 12*x + 7. Determine z so that w(z) = 0. 1, 34/7 Find u such that -702*u + 319*u - 4 + 311*u - 68*u**2 = 0. -1, -1/17 Let j(r) be the third derivative of -15*r**2 + 0*r**3 + 0 + 0*r + 1/45*r**5 + 1/360*r**6 + 1/18*r**4. Factor j(q). q*(q + 2)**2/3 Let w(b) = b. Let d be w(3). Let v be 2 + -5 - d*-2. Find h such that 4*h**3 + 3*h**v + 5*h**2 - 2*h**3 = 0. -1, 0 Suppose -b + 5 + 1 = 0. Let x be b*4/8*1. Find f such that -6*f**2 + 8*f**2 - x*f**2 = 0. 0 Let x(n) be the first derivative of 2*n**6 + 27*n**5/5 + 3*n**4/2 - 64. Let x(y) = 0. What is y? -2, -1/4, 0 Let n(x) be the second derivative of x**5/20 - 7*x**4/12 + 18*x**2 + 8*x - 19. Find y such that n(y) = 0. -2, 3, 6 Factor -4*q**4 - q**4 + 898*q - 898*q + 5*q**2. -5*q**2*(q - 1)*(q + 1) Let f(l) be the second derivative of 7*l**5/120 + l**4/36 - 7*l**3/36 - l**2/6 - 2*l - 34. Suppose f(y) = 0. What is y? -1, -2/7, 1 Let d(o) = o - 3. Let a be d(5). Factor 0*v**3 - a*v**3 - 3 - 5 + 6*v**2. -2*(v - 2)**2*(v + 1) Let f(m) be the first derivative of 3*m**5/25 - 9*m**4/10 - 8*m**3/5 + 9*m**2/5 + 21*m/5 + 59. Suppose f(h) = 0. What is h? -1, 1, 7 Let v(y) = -y**2 + y + 8. Let t be v(3). Let n(g) = -g**2 + g - 1. Let w(u) = -4*u**2 + 9*u - 12. Let b(k) = t*w(k) - 6*n(k). Solve b(l) = 0 for l. 3 Factor -21*s + 22*s**3 + 18 + 20*s**3 - 39*s**3. 3*(s - 2)*(s - 1)*(s + 3) Suppose -3*a + 217 = 2*g, -39 = -a + 2*g + 28. Suppose -a*t = -73*t. Find k, given that 0 + 3/5*k**4 - 3/5*k**2 - 1/5*k**3 + t*k + 1/5*k**5 = 0. -3, -1, 0, 1 Let u be 6/(-12)*(-3 + -1). Let 3*f + u*f**2 - 3*f**2 + 4*f**2 = 0. Calculate f. -1, 0 Factor -3/2*c**2 + 3/2 - 3/4*c + 3/4*c**3. 3*(c - 2)*(c - 1)*(c + 1)/4 Let v(p) be the first derivative of p**5/25 + p**4/4 + 3*p**3/5 + 7*p**2/10 + 2*p/5 - 41. What is c in v(c) = 0? -2, -1 Let l be 0/(16 + -12)*1. Find k, given that l - 4/13*k + 2/13*k**2 - 2/13*k**4 + 10/13*k**3 - 6/13*k**5 = 0. -1, 0, 2/3, 1 Suppose 0*r + 3*v - 575 = -5*r, -2*v - 128 = -r. Let p = r + -102. What is j in 154/5*j**2 + 8/5 + 242/5*j**3 - p*j = 0? -1, 2/11 Let u(y) be the second derivative of y**8/6720 + y**7/360 + y**4/6 + 5*y**3/3 - 2*y + 22. Let k(a) be the third derivative of u(a). Factor k(f). f**2*(f + 7) Factor -1/7*o**3 + 8/7*o + 0 + 2/7*o**2. -o*(o - 4)*(o + 2)/7 Factor -35 - 5*o + 27 + 27 - 53*o + 37 + 2*o**2. 2*(o - 28)*(o - 1) Let d(b) = 48*b + 2. Let w be d(0). Let 0*l**w + 0 - 4/5*l + 4/5*l**3 = 0. What is l? -1, 0, 1 Let g(c) be the second derivative of 0*c**2 + 7*c + 1/9*c**3 + 1/54*c**4 + 0. Factor g(u). 2*u*(u + 3)/9 Let i(o) be the first derivative of -1/6*o**4 + 8/3*o + 4/3*o**2 - 2/9*o**3 + 51. Factor i(k). -2*(k - 2)*(k + 1)*(k + 2)/3 Let w be 384/297 + (-155)/(-1116)*-8. Suppose 0 - 4/11*f**2 - w*f**5 + 2/11*f**3 + 0*f + 4/11*f**4 = 0. Calculate f. -1, 0, 1, 2 Let c = -26061/5 - -5229. Let n(d) be the first derivative of 16/5*d + 5 + c*d**3 - 12*d**2 - 81/10*d**4. Factor n(j). -2*(3*j - 2)**2*(9*j - 2)/5 Let b(r) be the second derivative of -r**8/4032 + r**7/7560 + r**6/432 - r**5/360 + 3*r**4/4 - 16*r. Let z(g) be the third derivative of b(g). Factor z(x). -(x - 1)*(x + 1)*(5*x - 1)/3 Let j(d) = -d + 4. Let w be j(0). Suppose 27*p - 8*p**2 - 5*p**5 + 2*p**2 + 2*p**5 - 24*p**3 + 2*p**4 + 16*p**w - 12 = 0. What is p? -1, 1, 4 Let t(r) be the first derivative of -r**3/12 + 127*r**2/2 - 16129*r + 898. What is p in t(p) = 0? 254 Let u be (-7)/(-6)*(555/518 + (-3)/6). Factor 13/3*m + 5*m**2 - u. (m + 1)*(15*m - 2)/3 Factor 0 - 1/2*l**3 - 37/2*l - 19*l**2. -l*(l + 1)*(l + 37)/2 Let x(r) be the third derivative of r**6/120 + r**5/20 - r**4/6 - r**3/2 + 7*r**2. Let h(m) = m. Let z(v) = 12*h(v) + 4*x(v). Let z(y) = 0. What is y? -3, -1, 1 Let i = 955/17 - 12279/221. Factor 10/13*j - i - 2/13*j**2. -2*(j - 4)*(j - 1)/13 Let z(g) = 8*g**2 + 25*g - 171. Let f(k) = -23*k**2 - 75*k + 516. Let q(d) = -3*f(d) - 8*z(d). Determine u, given that q(u) = 0. -9, 4 Let a(z) be the third derivative of z**6/24 + 139*z**5/4 + 96605*z**4/8 + 13428095*z**3/6 + 3*z**2 - 104*z. Find v, given that a(v) = 0. -139 Let k(g) = 2*g**5 - 4*g**4 + 2*g**3 + 2*g**2 + 8*g - 4. Let l(t) = -2*t**5 + 3*t**4 - t**3 - t**2 - 7*t + 3. Let d(a) = 5*k(a) + 6*l(a). Solve d(p) = 0. -1, 1 Let a(t) be the first derivative of 0*t - 1/6*t**6 - t**4 + 0*t**2 + 26 - t**5 + 0*t**3. Factor a(p). -p**3*(p + 1)*(p + 4) Factor 2/5*l**2 - 2/5*l**4 - 2/5*l + 0 + 2/5*l**3. -2*l*(l - 1)**2*(l + 1)/5 Let k = -2191 - -2196. Determine x so that -1 + 1/4*x**k + 4*x - 7/4*x**4 - 25/4*x**2 + 19/4*x**3 = 0. 1, 2 Let b(d) be the second derivative of d**4/78 - 8*d**3/13 + 10*d - 16. Find p, given that b(p) = 0. 0, 24 Let p = 1 - -4. Let q = -18 + 20. Factor p*i - i**q + 0*i**2 - 3*i - 1. -(i - 1)**2 Let q(v) = -5*v**3 - 247*v**2 - 3112*v - 5297. Let t(j) = 5*j**3 + 246*j**2 + 3111*j + 5296. Let x(u) = -6*q(u) - 7*t(u). Factor x(r). -5*(r + 2)*(r + 23)**2 Factor -3*d**2 + 3/4*d**3 - 9/4*d + 27/2. 3*(d - 3)**2*(d + 2)/4 Let p(d) = 3*d**3 - d**2 - 2*d. Let k(v) = 4*v + 2*v - 3*v**3 + 2*v**2 - 5*v. Let h(f) = -4*k(f) - 3*p(f). Factor h(l). l*(l - 1)*(3*l - 2) Suppose -54 + 574 = 104*w. Let v(f) be the first derivative of -5*f -
{ "pile_set_name": "DM Mathematics" }
g prime? False Suppose -28*b + 2450076 = -3686936. Is b a composite number? True Suppose m - 2 = -f, -3*f + 3 + 7 = 5*m. Suppose -2455 = -7*a + m*a. Is a a composite number? False Let t = 243 + -258. Is ((-2270)/t - -4)/((-2)/(-177)) a composite number? True Let t(f) = -175*f + 2. Let q(b) = -4*b - 43. Let z be q(11). Let v = 82 + z. Is t(v) a prime number? True Let z be (4 + 0)*20*584/128. Let p(t) = -5*t**3 + 4*t**2 + 8*t - 10. Let b be p(4). Let o = z + b. Is o prime? True Let l = 19162 - 11179. Suppose -11*w = -2*w - l. Is w composite? False Let n(d) = -d - 3. Let o be n(-5). Suppose 3*k = 2*c + 34301, -2*k - 3*c + 22899 = o*c. Is k composite? False Let x be 424/(-159)*(-1 + (-40354)/8). Let q = x + -977. Is q composite? True Suppose 0 = 3*y - y - s + 14057, -4*y = 3*s + 28139. Let t = 12240 + y. Is t a composite number? False Let r(q) = q**2 + 3*q - 7. Let j be r(-5). Suppose 4*h + 5 = 3*l, -4*h - 49*l = -51*l + 6. Is j - (2 - h)/((-7)/4669) a composite number? False Let n = 7185 + 832184. Is n prime? True Let h = -197863 - -552396. Is h a composite number? False Let l(a) = 5*a**2 - 4*a + 3. Let w be l(2). Suppose 74*m = 86*m - 42060. Suppose -m = 10*i - w*i. Is i composite? False Let j = 3 + -1. Let u(z) = 94*z**3 - z + 1. Is u(j) a prime number? True Suppose -3*h + j = 5, -6*h = -3*h + 3*j - 15. Suppose -u + 7*u - 666 = h. Suppose 0 = -0*z + z - 2*t - u, 234 = 2*z + 2*t. Is z prime? False Let n(z) = 38*z**2 + 5*z + 66. Let p be n(15). Is p/(-2)*(-16)/24 composite? False Let j = -214 - -212. Is ((-2479)/(-111))/(j/(-6)) a composite number? False Let i(z) = -2*z**2 + 3*z + 3. Let j be i(2). Let n be (12/15)/(9/(-15) + j). Is (8/24)/(n/1986) prime? True Let o(w) = -9*w - 12. Let h be o(5). Let f = h - -61. Suppose -f*v - 2*j = -3158, 0*v + 3*v - 2351 = 2*j. Is v composite? False Let c(x) = -97469*x + 1636. Is c(-9) a composite number? True Suppose 3*c = -5*n + 30, -5*n - 2*c + 30 = -0*c. Suppose -n*q + q + 120 = 0. Suppose q*o - 165 = 21*o. Is o prime? False Let w(h) = 13*h**2 - 75*h - 63. Is w(-50) prime? True Suppose 52367 = 2*i + w, 0*i + 3*i = w + 78548. Suppose -18*f = -i - 17899. Is f composite? True Let y be (-4 + 3)*(-238 + (-1)/1). Let j = y + -355. Let m = 271 + j. Is m a composite number? True Is 7 + (55958 + -7 - 9) composite? False Suppose 0 = 5*d - 4*d + 73. Let s(z) = 3*z + 198. Let k be s(26). Let q = d + k. Is q composite? True Suppose -463*m + 1147642239 = -102292470. Is m a prime number? False Let u = 367183 - 226860. Is u prime? False Let q(b) be the first derivative of -377*b**2 - 17*b - 27. Let u be q(-8). Suppose 2*m - 4*s = -0*s + 2382, -5*m - 2*s = -u. Is m prime? True Suppose -97*z - 3736336 = -60*z - 53*z. Is z a composite number? True Let u(b) = 5 + 96 - 25 - 662*b + 68 - 69*b. Is u(-7) a composite number? False Is 2226/(-795) + (-169999)/(-5) prime? True Let b(j) = -j**3 - 12*j**2 + 18*j + 39. Let f be b(-13). Is (39/f)/(3/(-1266)) prime? False Suppose 6*r + 3 = 9. Suppose -z = -r, 2*h + 2*z + 11045 = -z. Is (h/(1 - -3))/(-1) a prime number? True Suppose 6*k - 237162 = -41712 + 259452. Is k a composite number? True Suppose -2*n = 3*n - 20, -3*n = q + 2. Let w(b) = -2*b**3 - 21*b**2 - 33*b - 11. Is w(q) a composite number? False Suppose 0 = -4*l + 21 + 7. Suppose -l*i = -9*i - 1520. Let k = 1479 + i. Is k composite? False Let p = 3 + 2. Let k be (20/(-12))/p*-18. Suppose k*z - 9*z = -1011. Is z composite? False Suppose -3*n + 2*f = -190051, 4*f - 190021 = -25*n + 22*n. Is n prime? True Let k be (34/6)/1*3. Suppose 2*d = -k + 23. Suppose q = d*q - 662. Is q prime? True Let p = 1422720 - 506429. Is p prime? True Let l = -2250958 + 3438729. Is l prime? False Let k(m) = -290*m + 307. Let a = -325 - -293. Is k(a) prime? True Let j(s) = 4579*s - 509. Is j(10) a prime number? True Suppose -41*j + 44*j = 21. Suppose -5*i + x = -39200, -j*x + 15702 = 2*i - 3*x. Is i composite? False Is (4 - (-231)/(-56)) + (-1)/(-8) + 383519 a composite number? False Let s(m) = m**3 - 17*m**2 - 6*m - 1. Let v(q) = -4*q + 3. Let y be v(-12). Let i = 71 - y. Is s(i) prime? False Suppose -3673891 - 9198474 = -8*s - 4463397. Is s prime? False Let r(w) = -1310*w + 139. Let q be (-1)/(6 - 7)*-12. Is r(q) a prime number? True Suppose 0 = -k - 2*l - 40 + 52, -4*k - 2*l = -30. Suppose k*c = 12896 - 4430. Is c composite? True Let q = 24 + -27. Let n be 1522 - (q + 9/3). Suppose 17*h + n = 19*h. Is h composite? False Let k(d) = -6*d**2 + 12*d. Let c(n) = -7*n**2 + 13*n + 1. Let v(w) = -5*c(w) + 6*k(w). Let i be v(9). Is (-2)/(0 + 1) - 2967/i prime? True Let i be 12/54*3*(-30)/(-4). Suppose f - 201 = -2*f + z, -i*z = 4*f - 287. Is 1477/17 + ((-16)/f)/(-2) a composite number? True Let c(h) = 550*h - 89. Let y(p) = 1102*p - 179. Let n(q) = -13*c(q) + 6*y(q). Is n(-5) a prime number? False Let u(k) = 14 - 43 + 70*k + 5. Let t be u(-8). Let g = -253 - t. Is g composite? False Suppose -g - 5*n - 14 = -4, -8 = g + 3*n. Is (3/6)/(g/(-12490)*1) a prime number? True Let y = -574252 + 1285703. Is y a composite number? True Is 30/(-165) - (-4)/44*147171 prime? False Let a(x) be the second derivative of -247*x**3/2 - 5*x**2/2 - 3*x + 52. Is a(-2) composite? True Let i = -1904 + 2717. Let u = i + 244. Is u a prime number? False Let g(b) be the first derivative of b**4/2 + 71*b**3/3 - 18*b**2 - 11*b + 29. Is g(-35) a composite number? True Suppose 333*q - 38*q - 105423850 = -55*q. Is q prime? True Suppose -223*q + 5491090 = -113*q. Is q composite? False Let f = 75145 - 53118. Is f a composite number? False Let x(r) = -r**2 - 6*r. Let b be x(-2). Suppose -b*k = -1 - 7. Let v(g) = 284*g + 9. Is v(k) a composite number? False Let o(t) be the first derivative of 5*t**2/2 - 60*t + 42. Let s be o(12). Suppose -44*w + 49*w - 7815 = s. Is w a composite number? True Let p(c) = -70*c + 22. Let t(y) = 71*y - 23. Let i(l) = 6*p(l) + 5*t(l). Let v be i(-7). Suppose -z - 3*z + v = 0. Is z composite? True Let z = -10451 + 48078. Is z prime? False Suppose 0 = -71*b + 285713 + 6991574. Is b composite? False Let j = -4881 + 3035. Let y = j + 27239. Is y prime? False Let x(g) = 19*g - 2. Suppose 7*t = -0*t - 14. Let l(k) = -19*k + 3. Let p(u) = t*l(u) - 3*x(u). Is p(-7) prime? False Suppose -2*f - f = 5*p + 1, p = -5. Let j(m) = 2*m**2 + 6 - f*m + m + 13*m**2 - 1. Is j(-6) prime? True Let h(x) = -11*x + 7. Let t be h(0). Is 26875/t - ((-57)/21 - -3) composite? True Let y = -83016 + 143849. Is y a composite number? True Suppose -4*h = -3*b - 0*b - 42776, 42776 = 4*h + 2*b. Suppose -h + 1136 = 9*c. Is (-1 - 0)*(-7 + c) + 4 prime? False Let t(z) = 2832*z + 635. Is t(23) a prime number? False Is 13/(-273) + (-14420010)/(-63) a prime number? False Suppose 36*v - 72 = 42*v. Let z be (4 - (-28)/v)*42. Suppose 3682 = -z*b + 72*b. Is b a composite number? True Let q be (-3)/(-15) + (-138)/15. Let z be (-9)/2*6/q - -1. Suppose 3*c + 2*c + 25381 = z*u, 2*u + 2*c - 12704 = 0. Is u composite? True Let h(j) = 7*j - 44. Let n be h(9). Suppose 20 = -4*u + 5*c, n - 7 = -3*u + 3*c. Suppose u = 5*p, -5*v = -p - 2*p - 155. Is v a composite number? False Let c be 279292/65*10/4. Let f = c - 6255. Is f prime? False Suppose -14*i - 552 = -4302 - 4510. Let l be ((-726)/(-8))/(2/24). Let v = l - i. Is v a composite number? False Let c be -1966 - (-2 + (-14)/7). Let y = 647 - c. Is y a composite number? False Let d be -3 + (-1 + 3)/(1/11). Suppose d = 9*g + 1. Is -2 + g/(0 + 4/786) prime? False Let s(v) = 18*v - 9*v**2 + 27*v**3 - 18 + 26 - 13 - 8*v**3 + 10*v**3. Is s(4) a prime number? False Is 2/27 + 7909/(-54)*-4538 composite? True Suppose 0 = -5*t + 5*v + 107025, -4*t + 89383 = -2*v + 3767. Is t composite? True Suppose 0*n - 2480 = 3*n - 4*r, -4105 = 5*n - r. Let x = n - -1185. Is x a prime number? False Let a(d) = 177*d**2 - 18*d - 5. Let l be a(-5). Let t = -873 + l. Is t a prime number? True Let k(w) = 44066*w + 367. Is k(5) a composite number? True Let y = -114 - -96. Let j(w) = -3*w - 8. Let v be j(y). Suppose r - 161 = -3*i, 2*i = -r + 62 + v. Is i a composite number? False Let b be ((-108)/4)/(6/5706*-1). Let x = -11680 + b. Is x prime? True Let n(y) = 8*y**2 - 11*y - 6. Suppose 0 = 4*z, z + 3*z - 4 = l. Is n(l) composite? True Let a(i) = 2687*i - 11017. Is a(30) prime? True Is ((-78)/78)/((
{ "pile_set_name": "DM Mathematics" }
3/2)/i)/(i**(-1/4))**(-4/9) assuming i is positive. i**(-15013/4950) Simplify u**(6/7)*u**(1/2)*(u/(u/u**1))**11*((u*u*u*u**(-1/4)*u*u*u*u*u)/(u*u**(-2/9)))/(u**(-6)*u**(-3/4)) assuming u is positive. u**(1643/63) Simplify (v/(v*v**44)*v**(-21)*(v/(v**(1/28)*v)*v)/v*v**7/v)**(2/101) assuming v is positive. v**(-1653/1414) Simplify ((l**(4/7))**(2/69)*l**13*l**5)**(1/5) assuming l is positive. l**(8702/2415) Simplify (f/(f/(f/f**(-2/7))))/(f*f**1*f*f*f*f)*(f**(-2/5))**1*(f**(2/5)/f**(1/2))/(f**(-4/7)/f**(2/7)) assuming f is positive. f**(-61/14) Simplify ((j**(1/2)/((j/j**16)/j))/(j/j**5*j**(-8)))**(-2/33) assuming j is positive. j**(-19/11) Simplify ((d**(-5/6)/d*d*d)/(d/d**(-8)))/(d**(1/9)/d*d**(1/4))*(d/d**(-1/4))/(d*(d**(-1)*d)/d)*d/(d/(d/(d*d**6)*d))*d*d*d**(1/4) assuming d is positive. d**(-349/36) Simplify ((u/u**2)**(2/25)*u*u**14*u*(u*u**(-13))/u)**(-2/5) assuming u is positive. u**(-146/125) Simplify ((c**(-4/7)/c)/c*c**2*c*c**(-10/7)*c*c*c**(-2/53))**(3/34) assuming c is positive. c**(9/106) Simplify q**13/(q/q**40)*(q**(-2/7)*q)/((q**(2/139)/q)/q) assuming q is positive. q**(53223/973) Simplify (s*s*s**(-4)*s*s*s**(-3)*s**(3/2)*(s/s**1*s*s)/s)/((s/s**5)/s**6*s**(-3)*s**(-3/4)) assuming s is positive. s**(53/4) Simplify (((i**(1/5)*i**(-2/45))/(i**6/i*i/(i**2/i)*i))**38)**(-4/11) assuming i is positive. i**(39976/495) Simplify (w/((w/w**(2/3))/w*w)*w**(3/23)*w)/(w**(-7/2))**(-1/13) assuming w is positive. w**(2741/1794) Simplify (z**(-2/5))**(-19)*((z/(z*z**(-2/7)*z))/z*z)**5*(z*z**(-4)*(z**5*z)/z)/((z**(-2)/z*z)/(z/(z*z**(1/7)))) assuming z is positive. z**(276/35) Simplify (s**(-3/8)*s/(s**(5/6)/s))**4*(s**(7/4)*s**(1/11))**(14/3) assuming s is positive. s**(388/33) Simplify ((((y**(2/51)/y*y)/y)/y*y**(-20)/y)/(y**(4/13)*y*y*y/(y*y**(1/4)*y)*y))**(-8) assuming y is positive. y**(132698/663) Simplify ((x**(20/11))**(-49)/(((x*x**42/x*x)/x)/x)**(-37))**(-43) assuming x is positive. x**(-675401/11) Simplify (((i/i**(3/5))/i*i)/(i**(8/5)/i))**(-2/33)/(((i/i**(-2/19))/(i**(-1/3)*i))/(i**(2/3))**(-2/7)) assuming i is positive. i**(-4513/7315) Simplify (d*d/(d*d/d**(-2/17)*d)*d**(-2)*(d**(4/5)/d)**(-2/3))**3 assuming d is positive. d**(-761/85) Simplify (((h/(h/(h/h**1*h)))/h)/h**(-1/3)*h**(1/13)*h**(-6))/((h**(-2/3))**(-1/4))**(1/10) assuming h is positive. h**(-4373/780) Simplify ((t**10/t)**19/((t**(-2/3)/t)/(t*(((t**(2/5)*t)/t*t)/t)/t*t)))**(-7) assuming t is positive. t**(-18277/15) Simplify (w/(w*w**(-1)))**(-1/2)*w/(w/w**(-9))*w/(w**(1/7)*w)*((w*w**(1/2))/(w**(7/4)/w))**9 assuming w is positive. w**(-81/28) Simplify (b**(-8)*b/(b/b**16)*b*(b**5*b)**33)**25 assuming b is positive. b**5175 Simplify (((u*(u*u*u**(1/3))/u)/(u*u**(1/3)*u))/(u**6*u/u**(2/3)))/((u/(u/(u*u**(-1))*u))**(-1)/(u**(1/2)*u)**3) assuming u is positive. u**(-17/6) Simplify ((w**(-1/9)*w*w**(1/2)*w*w*w**(1/4)/w*w*(w*w*w**(-1/3)/w)/w)**(-1/11))**(1/13) assuming w is positive. w**(-119/5148) Simplify ((c**(1/3))**48)**10*((c/(c/(c/(c*c*c**(1/2)))))/c)**(2/45)*(c**(1/3)*c)**(2/7) assuming c is positive. c**(10097/63) Simplify ((((r*r**(1/2))**(-30/7))**(-3/10))**21)**(1/14) assuming r is positive. r**(81/28) Simplify ((y/y**28)/(y/y**11))/((y/y**(-1/36)*y)/(y*y**(-2/5)*y)) assuming y is positive. y**(-3137/180) Simplify ((v/(v/(v/v**(-5))))/v**7)**(-4/9)/(((v/v**(1/5))/(v/(v**(-2)*v)))/((v/(v*v*v*v*v**(2/7)))/v)**(-37)) assuming v is positive. v**(50468/315) Simplify (t**(-2)/t**(-2/5)*(t/(t*t/(t**1/t)))**(4/3))/((((t**3/t*t)/t)/t)**(2/115))**(1/26) assuming t is positive. t**(-13159/4485) Simplify ((g**47/(g/(g*g**14)))/((g*g**(-2/3))/((g/g**(-7)*g)/g)))**(-2/55) assuming g is positive. g**(-412/165) Simplify (((((i*i/i**(2/3)*i*i)/i)**(-29))**(-35))**(-47))**4 assuming i is positive. i**(-1335740/3) Simplify ((((((n*n**(-22)/n)/n*n)/n)/n)/n)/n**9)/(n*n**(-1/4)*n*n*n*n/((n/(n*n**(-3/5)))/n)*n) assuming n is positive. n**(-803/20) Simplify (q**(-27)/q)/(q/((q/q**(3/4))/q))*q/((q/(q*q/((q**(11/5)*q)/q*q*q)))/q)*q**(-2) assuming q is positive. q**(-659/20) Simplify ((z**7/z)/((z/(z/(z**(-1/13)/z)*z))/z))**(-21)/((z**5/(z/(z**(2/7)/z)))/(z**(-2/15)*z**4)) assuming z is positive. z**(-259397/1365) Simplify (((t*t**3/t)/t)**(4/3))**(-16)*(t/(t/t**(4/5))*t/(t/((t/(t**(3/4)/t))/t)))/(t**(-6)*t**(1/5)) assuming t is positive. t**(-2149/60) Simplify (((t/t**(1/3)*t/(t**(-3)*t))/((t/(t**(2/15)*t))/t**(-5)))**(-10))**30 assuming t is positive. t**360 Simplify (f*(f*f/(f**(-24)/f))/f)/(f*f**23*f)*(f**13*f)**34 assuming f is positive. f**478 Simplify (d**(6/7)*d*d/(((d/d**(-1/5))/d)/d*d)*d*d)**34*((d/((d*d**(-4))/d))/(d*d**(-2/15)))**(3/2) assuming d is positive. d**(5759/35) Simplify ((j**9*(j**(-7)/j)/j)/((j/j**(-6/11))/(j*j**6/j)))**(4/11) assuming j is positive. j**(196/121) Simplify ((a*a/a**(-9)*a)**(-7/5)/((a**(16/3)*a)/a**16))**18 assuming a is positive. a**(-642/5) Simplify ((l**0/l)**(-6/7)*((l/l**(-1/3))/l)**(1/9))/((l**5*l**(-6))/(l**1*l)**38) assuming l is positive. l**(14722/189) Simplify ((q**(-1)/q)**(-11/5))**(-36)/((q/(q*q**(4/7)))/q*q**(2/7)*q**(-3/4)*q**(-1/2)*q*q*q) assuming q is positive. q**(-22241/140) Simplify ((h*h*h**(-2/17)/h)/h**(-3)*(h*h**7)/h*h*h**(-1/12))/((h*h/((h/h**7)/h)*h)/h**7*h*h**2*h/h**(1/4)) assuming h is positive. h**(515/102) Simplify (m**(2/5))**(-2/175)*m**(2/13)/m**(-2/5)*(m/m**(1/3)*m)**(3/47)/(m**3/m**(-2/23)) assuming m is positive. m**(-29896162/12296375) Simplify (k/(k/(k/k**6))*k*k/(k*k**(-3/7)/k*k)*k**(-2)*(((k*k**(1/6)*k*k)/k)/k)/k*k)/((k**(-1/3))**(2/17)*((k*k**(1/3))/k)/k*k**(-1)) assuming k is positive. k**(-1927/714) Simplify (k/(k**1/k*k)*k)**(-32)*((k*k*k**(3/5))/k)/(k/k**(-4/9))*((k/(k/k**(1/2)*k))**(-28))**(20/9) assuming k is positive. k**(-11/15) Simplify ((q*(q**(1/4)*q)/q)**(5/11)/(q**(1/2))**(-47))/((q*(q/(q*q**(2/9))*q)/q*q)**(-25/3)/(((q*q**3)/q)/(q/(q*q*q*q**(1/4)*q)))) assuming q is positive. q**(26809/594) Simplify (((m**(1/11)/m*m)/m)/m**(-2/7))**(1/3)/((m**(2/5)*m*m**(1/4)*m)/(m/m**0)**(-2/79)) assuming m is positive. m**(-350759/121660) Simplify (x/(x*((x/(x*x**(1/6)))/x)/x*x))/(x/(x**(-3/8)/x*x))*(x*x**(-1/5)*x)/x**(8/5)*((x/(x/(x/((x/(x**(-2/9)*x))/x*x))))/x**6)**(-1) assuming x is positive. x**(1877/360) Simplify (h/h**(-14/5)*h*h**9*h*h**(4/5)/h**(-18/7))**(2/19) assuming h is positive. h**(1272/665) Simplify (((l**10/l*l)/l**(4/13))/(l**(-12)/l**0))**(-4) assuming l is positive. l**(-1128/13) Simplify (x/(x**1/x))**(-1/14)/(x**(2/7))**47*(x**3*x*x*x**(2/13))**(6/19) assuming x is positive. x**(-5865/494) Simplify (((n/(n**(-1/3)*n))**45*(n/(n**1/n))**(4/7))**35)**4 assuming n is positive. n**2180 Simplify ((t**(-2)*(t/t**(-1/3))/t)/(t**0*t**7))/(t**(-3/2)/t**(-5)*(t**(2/5))**(-1/72)) assuming t is positive. t**(-2189/180) Simplify ((((t/(t**(-1/4)*t)*t)/t)/t**(-2))/(t/t**(-1))**(-16))/(t**4*t**(-1/4)*(t*t**(-1)/t)/(t**(1/5)/t)) assuming t is positive. t**(307/10) Simplify (y**(-15)/y)**50*y**(-2/45)/y*y**(-31)/y assuming y is positive. y**(-37487/45) Simplify (((f/(((f*f*f*f**(1/4)*f)/f)/f))/(f/f**(-2/9)))/((f*f**(-2))/f*f**0))/(f**(-1/4)*f**(-1/3)*f*f*f*f**7*f*f/f**4*f) assuming f is positive. f**(-80/9) Simplify (n/(n/(n**(2/13)/n))*n**(-2/15)*(n*n**(-6)*n)/(n/(n/(n/((n*n*n**(-3/7))/n)))))**(10/3) assuming n is positive. n**(-14764/819) Simplify ((i**(-1))**(-1/7))**(4/15)/(i/(i/i**(-3))*i**(-3)*(i*i*(i**(1/6)*i)/i)/((i*i**(4/3))/i)) assuming i is positive. i**(1093/210) Simplify (x**(-4)*(x*x**(-5/4)*x)/x)/(x**7*(x*x/((x*x**(-9)*x)/x)*x)/x)*(x*(x*x**(2/5))/x*x**(-13))**31 assuming x is positive. x**(-7617/20) Simplify ((a**(4/7)*a)/(((((a**22/a)/a*a)/a)/a)/a*a)*(a**10*a*a*a)**28)**(-1/48) assuming a is positive. a**(-1213/168) Simplify (((b**(1/4)/b)**(-42)*((b/b**(-6))/b)/b**(-4/3))**(-2/45))**(-1/6) assuming b is positive. b**(233/810) Simplify r/(r/(r*r**(2/21)))*r*r**(-1/5)/r*(r**(2/3)/r)**(-2/5)*((r*r*r/(((r/(r*r**(-4)))/r)/r)*r)/r**(-3))/(r*r*r**(-1))**(1/20) assuming r is positive. r**(837/140) Simplify (h/((((h*h/((h*h**(1/17))/h))/h)/h)/h))**(-47)/(h/(h*h**9/h)*h)**(5/3) assuming h is positive. h**(-4340/51) Simplify (v**(-21/8)*(v/(v/(v**(-2/17)*v)))/v)/((v*v**(-1/9))/v*v**(-37)/v*v) assuming v is positive. v**(42067/1224) Simplify (w*w**(-6)*w)**(-2/31)/(w/((w*w**(7/6))/w))**17 assu
{ "pile_set_name": "DM Mathematics" }
remainder when 1803 is divided by 44? 43 Calculate the remainder when 471 is divided by 156. 3 Calculate the remainder when 64 is divided by 17. 13 Calculate the remainder when 958 is divided by 12. 10 What is the remainder when 2455 is divided by 9? 7 What is the remainder when 2924 is divided by 29? 24 Calculate the remainder when 18979 is divided by 19. 17 What is the remainder when 5562 is divided by 87? 81 Calculate the remainder when 7378 is divided by 3683. 12 Calculate the remainder when 21527 is divided by 138. 137 Calculate the remainder when 300 is divided by 36. 12 Calculate the remainder when 174 is divided by 33. 9 Calculate the remainder when 271 is divided by 54. 1 Calculate the remainder when 413 is divided by 254. 159 Calculate the remainder when 69 is divided by 53. 16 What is the remainder when 83 is divided by 7? 6 Calculate the remainder when 719 is divided by 182. 173 Calculate the remainder when 74 is divided by 27. 20 What is the remainder when 71 is divided by 48? 23 What is the remainder when 19301 is divided by 8? 5 Calculate the remainder when 1561 is divided by 71. 70 Calculate the remainder when 14662 is divided by 78. 76 What is the remainder when 2344 is divided by 69? 67 What is the remainder when 100 is divided by 47? 6 Calculate the remainder when 910 is divided by 33. 19 Calculate the remainder when 26 is divided by 12. 2 Calculate the remainder when 139 is divided by 47. 45 Calculate the remainder when 10957 is divided by 58. 53 Calculate the remainder when 351 is divided by 54. 27 Calculate the remainder when 3408 is divided by 379. 376 Calculate the remainder when 397 is divided by 129. 10 Calculate the remainder when 3946 is divided by 303. 7 Calculate the remainder when 182 is divided by 43. 10 What is the remainder when 256 is divided by 52? 48 What is the remainder when 1175 is divided by 42? 41 What is the remainder when 2364 is divided by 19? 8 Calculate the remainder when 1235 is divided by 17. 11 What is the remainder when 590 is divided by 35? 30 Calculate the remainder when 1365 is divided by 162. 69 What is the remainder when 1481 is divided by 23? 9 What is the remainder when 64 is divided by 23? 18 What is the remainder when 5385 is divided by 14? 9 What is the remainder when 355 is divided by 182? 173 Calculate the remainder when 378 is divided by 115. 33 Calculate the remainder when 48 is divided by 2. 0 Calculate the remainder when 24 is divided by 14. 10 Calculate the remainder when 7347 is divided by 15. 12 Calculate the remainder when 398 is divided by 231. 167 What is the remainder when 4478 is divided by 100? 78 What is the remainder when 518 is divided by 76? 62 What is the remainder when 14 is divided by 3? 2 Calculate the remainder when 644 is divided by 58. 6 Calculate the remainder when 57 is divided by 21. 15 What is the remainder when 562 is divided by 36? 22 Calculate the remainder when 489 is divided by 139. 72 What is the remainder when 148 is divided by 10? 8 Calculate the remainder when 555 is divided by 16. 11 Calculate the remainder when 252 is divided by 45. 27 Calculate the remainder when 2256 is divided by 20. 16 Calculate the remainder when 378 is divided by 328. 50 Calculate the remainder when 2615 is divided by 29. 5 What is the remainder when 3427 is divided by 22? 17 Calculate the remainder when 503 is divided by 250. 3 Calculate the remainder when 92 is divided by 55. 37 Calculate the remainder when 26 is divided by 2. 0 What is the remainder when 26 is divided by 3? 2 What is the remainder when 15 is divided by 8? 7 What is the remainder when 842 is divided by 277? 11 What is the remainder when 1212 is divided by 81? 78 Calculate the remainder when 291 is divided by 60. 51 Calculate the remainder when 10621 is divided by 64. 61 Calculate the remainder when 72 is divided by 2. 0 Calculate the remainder when 156 is divided by 84. 72 Calculate the remainder when 2308 is divided by 154. 152 What is the remainder when 179 is divided by 41? 15 What is the remainder when 215 is divided by 43? 0 What is the remainder when 407 is divided by 26? 17 What is the remainder when 71 is divided by 64? 7 Calculate the remainder when 65 is divided by 50. 15 Calculate the remainder when 22 is divided by 17. 5 What is the remainder when 293 is divided by 10? 3 Calculate the remainder when 2681 is divided by 61. 58 Calculate the remainder when 31 is divided by 20. 11 What is the remainder when 583 is divided by 41? 9 Calculate the remainder when 1201 is divided by 28. 25 Calculate the remainder when 56 is divided by 11. 1 What is the remainder when 280 is divided by 76? 52 What is the remainder when 14 is divided by 11? 3 What is the remainder when 207 is divided by 42? 39 Calculate the remainder when 2051 is divided by 138. 119 Calculate the remainder when 8313 is divided by 59. 53 What is the remainder when 40 is divided by 17? 6 What is the remainder when 1031 is divided by 294? 149 Calculate the remainder when 13727 is divided by 104. 103 What is the remainder when 1136 is divided by 51? 14 What is the remainder when 2202 is divided by 15? 12 What is the remainder when 83 is divided by 19? 7 What is the remainder when 74 is divided by 43? 31 What is the remainder when 416 is divided by 158? 100 Calculate the remainder when 510 is divided by 495. 15 Calculate the remainder when 366 is divided by 84. 30 What is the remainder when 3818 is divided by 10? 8 What is the remainder when 706 is divided by 385? 321 What is the remainder when 359 is divided by 118? 5 What is the remainder when 77 is divided by 26? 25 What is the remainder when 19662 is divided by 95? 92 What is the remainder when 61 is divided by 18? 7 Calculate the remainder when 301 is divided by 21. 7 Calculate the remainder when 2014 is divided by 667. 13 What is the remainder when 190 is divided by 48? 46 Calculate the remainder when 2921 is divided by 195. 191 What is the remainder when 1799 is divided by 45? 44 What is the remainder when 350 is divided by 11? 9 Calculate the remainder when 218 is divided by 44. 42 What is the remainder when 101 is divided by 14? 3 Calculate the remainder when 53 is divided by 10. 3 What is the remainder when 3014 is divided by 15? 14 What is the remainder when 444 is divided by 160? 124 Calculate the remainder when 462 is divided by 132. 66 Calculate the remainder when 198 is divided by 104. 94 What is the remainder when 82 is divided by 17? 14 Calculate the remainder when 953 is divided by 18. 17 What is the remainder when 212 is divided by 75? 62 What is the remainder when 5237 is divided by 159? 149 What is the remainder when 139 is divided by 52? 35 What is the remainder when 268 is divided by 21? 16 Calculate the remainder when 507 is divided by 166. 9 Calculate the remainder when 11758 is divided by 98. 96 Calculate the remainder when 402 is divided by 37. 32 What is the remainder when 693 is divided by 2? 1 What is the remainder when 227 is divided by 43? 12 What is the remainder when 121 is divided by 21? 16 Calculate the remainder when 25 is divided by 17. 8 What is the remainder when 346 is divided by 46? 24 What is the remainder when 564 is divided by 26? 18 What is the remainder when 7307 is divided by 28? 27 Calculate the remainder when 1099 is divided by 138. 133 What is the remainder when 16835 is divided by 46? 45 Calculate the remainder when 4016 is divided by 65. 51 Calculate the remainder when 2588 is divided by 12. 8 Calculate the remainder when 573 is divided by 50. 23 Calculate the remainder when 1341 is divided by 22. 21 What is the remainder when 16251 is divided by 63? 60 What is the remainder when 952 is divided by 20? 12 Calculate the remainder when 373 is divided by 51. 16 What is the remainder when 9437 is divided by 13? 12 Calculate the remainder when 85 is divided by 18. 13 What is the remainder when 275 is divided by 43? 17 What is the remainder when 37 is divided by 16? 5 Calculate the remainder when 857 is divided by 143. 142 Calculate the remainder when 152 is divided by 18. 8 Calculate the remainder when 111 is divided by 29. 24 Calculate the remainder when 4826 is divided by 4820. 6 What is the remainder when 428 is divided by 33? 32 Calcu
{ "pile_set_name": "DM Mathematics" }
3404972 = 0. 1, 2, 851243 Determine w so that -3*w**5 - 31872*w**4 + 31902*w**3 + 286848*w**2 - 286875*w = 0. -10625, -3, 0, 1, 3 Solve k**3/2 - 11616587*k**2/2 - 116166020*k - 580830350 = 0 for k. -10, 11616607 Factor 4*v**2 + 69408*v - 902980. 4*(v - 13)*(v + 17365) Determine p so that -p**4/6 - 692*p**3/3 - 4145*p**2/6 - 1381*p/3 = 0. -1381, -2, -1, 0 Solve a**4 - 22*a**3 - 188348*a**2 - 30244266*a - 30055941 = 0 for a. -243, -1, 509 What is h in 3*h**2 - 6512346*h + 3534220868643 = 0? 1085391 Factor -5502005*f**2 - 81675140*f - 303108980. -5*(1049*f + 7786)**2 Let -u**4/3 - 17*u**3/3 + 9077*u**2/3 + 30451*u - 118404 = 0. Calculate u. -99, -13, 3, 92 Determine l so that l**2/11 - 43785664*l/11 + 479296092980224/11 = 0. 21892832 Factor t**2/2 - 9291*t + 6823528. (t - 17816)*(t - 766)/2 Find l, given that l**2 - 669227*l + 8699782 = 0. 13, 669214 Factor 2*n**2/5 - 50094*n/5 + 95292004/5. 2*(n - 22973)*(n - 2074)/5 Factor -l**2/4 - 84418*l - 6415407/4. -(l + 19)*(l + 337653)/4 Determine f, given that 4*f**3 + 24576*f**2 - 369844*f - 1872336 = 0. -6159, -4, 19 Determine d, given that -d**3/2 + 2158*d**2 + 104305*d/2 - 314650 = 0. -29, 5, 4340 Let -2*w**4/3 - 64*w**3 + 9264*w**2 + 113408*w/3 + 38048 = 0. What is w? -174, -2, 82 Factor 2*n**2/13 - 118*n - 290136/13. 2*(n - 924)*(n + 157)/13 Determine v so that -16*v**5/5 - 2356*v**4/5 - 68034*v**3/5 + 203698*v**2/5 - 9868*v - 83952/5 = 0. -106, -44, -1/2, 1, 9/4 Factor 2*y**4/5 + 2888394*y**3/5 + 1390487313138*y**2/5 + 223140304935019406*y/5 + 4016074987785796452/5. 2*(y + 18)*(y + 481393)**3/5 Find r such that 2862*r**2/13 + 60146*r/13 + 924/13 = 0. -21, -22/1431 Solve -147*h**3 + 3859138584*h**2 + 2205222084*h + 315031728 = 0. -2/7, 26252644 Factor 5*x**3 - 104030*x**2 - 27089355*x - 1752630120. 5*(x - 21064)*(x + 129)**2 Suppose 5*a**5 - 420*a**4 - 25675*a**3 + 88950*a**2 + 2405720*a + 2291520 = 0. Calculate a. -42, -8, -1, 11, 124 Find d such that -5*d**3/2 + 374795*d**2/2 - 6992919175*d/2 - 1149825407615/2 = 0. -163, 37561 Let a**5/3 + 9957*a**4 + 74669400*a**3 + 4675445316*a**2 + 79993344960*a + 199916294400 = 0. What is a? -14904, -30, -3 Suppose -3*m**4/2 - 21297*m**3/2 + 730296*m**2 - 5288166*m + 7740360 = 0. What is m? -7167, 2, 6, 60 Solve 5*a**3 + 797520*a**2 + 17542780*a - 38275680 = 0 for a. -159482, -24, 2 Factor -7486*h**2/9 - 119800*h/9 - 128/3. -2*(h + 16)*(3743*h + 12)/9 Factor -3*g**2 + 17034*g - 1310400. -3*(g - 5600)*(g - 78) Factor 5*z**3 + 455905*z**2 + 10395886895*z + 155835741675. 5*(z + 15)*(z + 45583)**2 Factor -718*f**2/15 - 493746*f/5 - 8252/15. -2*(f + 2063)*(359*f + 2)/15 Let 2*m**2 + 217233704*m = 0. Calculate m. -108616852, 0 Solve 2*n**4/5 + 46*n**3/5 - 226*n**2 + 4514*n/5 - 3432/5 = 0 for n. -39, 1, 4, 11 Let -5*x**4/2 + 3905*x**3 + 4827705*x**2/2 - 2425555*x - 4835500 = 0. What is x? -475, -1, 2, 2036 Factor 2*j**2 - 313420*j + 6580938. 2*(j - 156689)*(j - 21) Solve 3*q**2 + 906288*q - 22659075 = 0 for q. -302121, 25 Factor -4*b**2/5 + 19232*b/5 - 1809408/5. -4*(b - 4712)*(b - 96)/5 Factor -x**3 + 181396*x**2 + 544195*x + 362798. -(x - 181399)*(x + 1)*(x + 2) Let 2*n**2 + 46008*n - 31431104 = 0. What is n? -23668, 664 Let 4*p**3/7 - 25583412*p**2/7 + 7309544*p = 0. What is p? 0, 2, 6395851 Factor -4*v**2/7 - 434932*v/7 - 14348400/7. -4*(v + 33)*(v + 108700)/7 Let 3*r**3 - 10285755*r**2 + 8816391183789*r + 8816401469547 = 0. Calculate r. -1, 1714293 Factor -297*y**3 - 11800410*y**2 - 117213651324*y - 2367947736. -3*(y + 19866)**2*(99*y + 2) Determine z, given that -3*z**4 - 31344*z**3 - 82681416*z**2 - 4236078912*z - 54794945712 = 0. -5198, -26 Solve 131*v**3/3 - 696*v**2 - 2633*v/3 + 1530 = 0 for v. -270/131, 1, 17 Suppose 2*r**4/5 - 95204*r**3 + 476008*r**2/5 + 2380084*r/5 + 1428054/5 = 0. What is r? -1, 3, 238009 What is q in q**2/8 + 1785911*q/8 = 0? -1785911, 0 Find a such that -2*a**2 + 9925720*a - 12314989689800 = 0. 2481430 Determine j so that -j**2/2 - 325937*j/2 + 15812649 = 0. -326034, 97 Factor c**2/4 + 205150797*c/2 + 42086849509735209/4. (c + 205150797)**2/4 Determine o so that 5*o**2 + 517647490*o + 13397946195165005 = 0. -51764749 Determine k so that 147*k**4/2 + 426804*k**3 + 620876553*k**2 + 3713743548*k + 11129718843/2 = 0. -20303/7, -3 Find s such that -5*s**2 - 1738071970*s - 151044708644984045 = 0. -173807197 Suppose 32*v**4 + 178672*v**3 + 24978178*v**2 - 12522592*v + 1566720 = 0. Calculate v. -5440, -144, 1/4 Factor -3*q**2 + 145834908*q - 1772318365947372. -3*(q - 24305818)**2 Solve 5*i**5/3 - 331*i**4 - 89513*i**3/3 - 1395451*i**2/3 + 301996*i + 579964/3 = 0 for i. -49, -22, -2/5, 1, 269 Find i such that -2*i**2/7 - 73980*i/7 + 2369408/7 = 0. -37022, 32 Solve 9*x**5 - 15699*x**4 + 826044*x**3 + 620496*x**2 - 3304320*x - 2230800 = 0. -2, -2/3, 2, 55, 1690 Determine g so that 3*g**4/4 + 940449*g**3/4 + 73685351043*g**2/4 - 2875236427569*g/4 - 3022603367883/2 = 0. -156761, -2, 41 What is p in -p**4/6 - 78517*p**3/2 - 13871186119*p**2/6 - 4619253275*p/2 + 388386617500/3 = 0? -117775, -8, 7 Factor 2*c**2 + 87816*c - 16845818. 2*(c - 191)*(c + 44099) Factor -x**2/8 - 6711*x/4 - 13421/8. -(x + 1)*(x + 13421)/8 Determine l so that -l**4 + 1916040*l**3 - 917800404354*l**2 - 1835614221008*l + 2753412709323 = 0. -3, 1, 958021 Factor -2*n**2/3 + 14860*n/3 + 289536. -2*(n - 7488)*(n + 58)/3 Factor -3*p**2 + 980761026*p - 80157682510047723. -3*(p - 163460171)**2 Find a, given that 3*a**4/2 - 1638*a**3 + 420525*a**2/2 - 1789776*a + 3521070 = 0. 3, 6, 138, 945 Let 2*x**2/5 + 35467804*x + 786228200364010 = 0. Calculate x. -44334755 Suppose -q**5/9 + 118756*q**4/9 + 39586*q**3/3 - 118756*q**2/9 - 118757*q/9 = 0. What is q? -1, 0, 1, 118757 Factor -5*k**2 - 3147590*k + 3147595. -5*(k - 1)*(k + 629519) Factor 2*v**2 - 60960300*v + 464519772011250. 2*(v - 15240075)**2 Determine g, given that 2*g**3/3 - 1510*g**2/3 + 243664*g/3 + 10108744/3 = 0. -34, 311, 478 Solve 3*n**2/4 - 85047258*n + 2411012031106188 = 0. 56698172 Find l such that -l**3/8 + 669*l**2/4 - 443555*l/8 + 659325/4 = 0. 3, 590, 745 Factor f**3 - 2074*f**2 + 39025*f + 41100. (f - 2055)*(f - 20)*(f + 1) Factor w**3 - 245*w**2 - 15224*w - 169860. (w - 298)*(w + 15)*(w + 38) Factor 2*k**2/11 + 137400*k/11 - 137422. 2*(k - 11)*(k + 68711)/11 Let 2*c**5 - 456*c**4 - 66212*c**3 + 201352*c**2 - 202254*c + 67568 = 0. What is c? -103, 1, 328 Factor 4*s**3 + 6480*s**2 + 679772*s - 2097744. 4*(s - 3)*(s + 116)*(s + 1507) Factor -5*c**2 - 1229575*c - 12295250. -5*(c + 10)*(c + 245905) Factor 14601*w**2 + 1095029*w - 3450. (w + 75)*(14601*w - 46) Suppose -4*k**2 + 31967986*k + 15983994 = 0. What is k? -1/2, 7991997 Factor -a**4 - 315903*a**3 - 24948518400*a**2 + 24948834304*a. -a*(a - 1)*(a + 157952)**2 Solve -3*i**2 + 501039*i + 73215642 = 0 for i. -146, 167159 Factor -y**3 - 202*y**2 - 10419*y - 55458. -(y + 6)*(y + 79)*(y + 117) Find n such that 4*n**4 + 796*n**3 + 48484*n**2 + 817236*n - 866520 = 0. -87, -83, -30, 1 Let -145*k**4/4 + 40735*k**3/4 + 1537825*k**2/2 - 4038195*k - 282150 = 0. Calculate k. -66, -2/29, 5, 342 Find a, given that 4*a**3 - 327124*a**2 + 8503196*a - 55266380 = 0. 13, 81755 Factor -o**3/6 - 766*o**2 - 18352*o/3. -o*(o + 8)*(o + 4588)/6 Solve g**5/9 - 2465*g**4/9 + 2447*g**3/9 + 41909*g**2/9 - 17236*g/3 - 9856 = 0. -4, -1, 3, 2464 Let 16*w**4/7 - 138*w**3/7 - 1728*w**2/7 + 3050*w/7 - 1200/7 = 0. What is w? -8, 5/8, 1, 15 What is x in -x**4 + 80443*x**3 - 2156327793*x**2 + 19242314184105*x + 501759260697942 = 0? -26, 26823 Factor 2*i**2/7 + 259790*i/7 - 779388/7. 2*(i - 3)*(i + 129898)/7 Suppose p**2/2 + 280043*p/2 - 1400265 = 0. Calculate p. -280053, 10 Determine n so that 49139*n**2 - 442253*n/3 + 2 = 0. 2/147417, 3 Factor 2*p**3/5 + 9596598*p**2/5 + 38386368*p/5 + 7677272. 2*(p + 2)**2*(p + 4798295)/5 Determine g so that 3*g**3/7 - 1671*g**2/7 + 200448*g/7 + 3392820/7 = 0. -15, 206, 366 Find j, given that 2*j**4/15 + 112*j**3/15 + 2122*j**2/15 + 15932*j/15 + 2720 = 0. -25, -17, -8, -6 Solve 8408284164*u**4 - 11225453189580*u**3 + 525770053200*u**2 - 8208680000*u + 42720000 = 0 for u. 20/1281, 1335 Let 2*a**4/15 - 12638*a**3/15 + 1426688*a**2/15 + 479776*a/5 = 0. What is a? -1, 0, 116, 6204 Solve -4*d**3/9 - 2668*d**2/3 + 3219456*d - 16982736896/9 = 0 for d. -4049, 1024 Fac
{ "pile_set_name": "DM Mathematics" }
, 2 Let p(f) = 4*f. Let w be p(1). Determine z, given that 4*z**5 + 6*z**3 - 6*z**4 - 5*z**4 - z**2 + z**4 + z**w = 0. 0, 1/4, 1 Let f(p) be the second derivative of 3/40*p**5 + 1/28*p**7 + 0*p**4 + 0*p**2 - p + 1/10*p**6 + 0 + 0*p**3. Determine j, given that f(j) = 0. -1, 0 Let v = -1 - -5. Let u(w) be the second derivative of 0*w**2 - 4/165*w**6 - 1/231*w**7 + 0 - 2*w + 0*w**3 - 1/33*w**v - 1/22*w**5. Factor u(y). -2*y**2*(y + 1)**2*(y + 2)/11 Let k be (-39)/(-52)*(-8)/(-3). Factor 4*m**k - 3*m + 2/3 - 5/3*m**3. -(m - 1)**2*(5*m - 2)/3 Let p = 45 + -45. Let y(j) be the first derivative of -1/36*j**6 + p*j**5 - 2 - 1/3*j + 1/9*j**3 + 1/6*j**4 - 1/4*j**2. Factor y(v). -(v - 2)*(v - 1)*(v + 1)**3/6 Suppose -5*a + 3*h = -14, 2*a - 5*h - 2 = -a. Let v be (0 - a) + (-5 - -11). Find t, given that 8/9*t - 10/9*t**3 + 4/3*t**v + 2/9*t**4 - 16/9 = 0. -1, 2 Let r be 12 + -15 + (-16)/(-2). Let o(y) be the first derivative of 1/12*y**3 + 3 + 0*y**2 - 1/24*y**6 - 1/20*y**r + 1/16*y**4 + 0*y. Let o(m) = 0. Calculate m. -1, 0, 1 Let q be 22/15 + ((-234)/(-27))/(-13). Factor -o**4 - q*o**2 + 0*o + 0 - 1/5*o**5 - 8/5*o**3. -o**2*(o + 1)*(o + 2)**2/5 Suppose 20 = -2*t + 7*t. Determine l so that -6*l**3 + 17 - 17 + 2*l**2 + 4*l**t = 0. 0, 1/2, 1 Let p(h) = -h**4 - 2*h**3 + 9*h**2 + 8*h + 2. Let r(c) = -15*c**4 - 33*c**3 + 144*c**2 + 129*c + 33. Let f(s) = 33*p(s) - 2*r(s). Factor f(u). -3*u*(u - 2)*(u + 1)**2 Let d(y) be the second derivative of y**7/28 + 3*y**6/20 + 3*y**5/40 - 3*y**4/8 - y**3/2 - y. Let d(p) = 0. What is p? -2, -1, 0, 1 Let p be 30*(-3)/(-30)*4. Suppose -5*s + p + 3 = 0. Determine r, given that 0*r**s - 4*r + r**3 + 0*r**3 + 3*r = 0. -1, 0, 1 Let y = 336 + -1006/3. Factor 1/3 + 1/3*l**2 - y*l. (l - 1)**2/3 Let a(d) be the first derivative of -d**5/15 + d**4/3 + 2*d**2 + 10. Let l(m) be the second derivative of a(m). What is i in l(i) = 0? 0, 2 Let l be (-110)/33*9/(-5). Let c(g) be the second derivative of 1/90*g**l + 0 - 1/30*g**5 + g + 0*g**3 + 0*g**2 + 1/36*g**4. Let c(t) = 0. Calculate t. 0, 1 Let p = 3 - -2. Suppose 0 = 3*u - 8*u + q + 16, -p*q - 8 = -u. Factor -2*g**3 - 2*g**2 + 3*g**2 + 2*g**3 - 1 - g**u + g. -(g - 1)**2*(g + 1) Let k(h) be the first derivative of -h**6/60 - h**5/30 + h**4/6 + h**2/2 + 1. Let j(p) be the second derivative of k(p). Determine f, given that j(f) = 0. -2, 0, 1 Let m = -18 + 20. Suppose 0*i = -2*r - m*i - 4, -3*r + 14 = -i. Factor 2/9*g**2 - 2/9*g**4 + 4/9*g + 0 - 4/9*g**r. -2*g*(g - 1)*(g + 1)*(g + 2)/9 Let q(u) = u**3 - 2*u**2 + u. Let n be q(1). Solve -a**3 - 2*a + 4*a - 4*a + 3*a**2 + n*a**2 = 0 for a. 0, 1, 2 Let l be 1 - (3/3 - 3). Suppose 8 = l*y + y. Find f, given that 2*f - f**2 + 2*f**y - f + 0*f**2 = 0. -1, 0 Suppose -4*g + 2*m + 3 = 13, 0 = 5*g - 5*m + 25. Determine j so that g - 2/11*j**3 - 4/11*j + 6/11*j**2 = 0. 0, 1, 2 Suppose 69 = 3*z - 111. Let a be (16/z)/((-4)/(-10)). Factor 0 + 0*t**3 + 0*t + a*t**4 + 0*t**2. 2*t**4/3 Let i be ((-24)/14)/(-3) - (-24)/(-140). Factor 1/5*j**2 - i*j + 1/5. (j - 1)**2/5 Factor 4*g**2 - 7*g + 3*g**2 - 4*g**2 - 5*g. 3*g*(g - 4) Let w(j) be the third derivative of 4*j**2 + 0 + 0*j**3 + 1/15*j**5 + 0*j - 1/24*j**4. What is v in w(v) = 0? 0, 1/4 Let x(h) = h**3 - 12*h**2 - 2. Let r be x(12). Let i be 1 + 0 + -3 - r. Suppose i*f**2 - 1 + 1 + 2*f**2 - 2 = 0. Calculate f. -1, 1 Let i(d) be the first derivative of 35*d**4 - 22*d - 14*d**5 + 14*d + 5 + 16*d - 4*d**2 + 2*d**4 - 26*d**3. Suppose i(k) = 0. What is k? -2/7, 2/5, 1 Factor -2/3*w + 1/6*w**3 + 0*w**2 + 0. w*(w - 2)*(w + 2)/6 Let p(v) be the third derivative of 1/20*v**6 + 9*v**2 + 1/2*v**3 - 1/70*v**7 + 0*v + 0 - 1/4*v**4 + 0*v**5. Solve p(d) = 0. -1, 1 Find y, given that 2/3 + 3/2*y + 1/6*y**3 + y**2 = 0. -4, -1 Let a(g) = -4*g**3 + 5*g**2 + 4*g - 2. Let j = -7 - -12. Let z(d) = 7*d**3 - 9*d**2 - 7*d + 4. Let n(m) = j*a(m) + 3*z(m). Factor n(r). (r - 2)*(r - 1)*(r + 1) Let c(z) be the third derivative of -5*z**6/24 - z**5/3 + 35*z**4/24 + 5*z**3 - 16*z**2. Factor c(p). -5*(p + 1)**2*(5*p - 6) Let s(i) be the second derivative of i**8/1512 + i**7/945 - i**2/2 + i. Let q(k) be the first derivative of s(k). Suppose q(w) = 0. Calculate w. -1, 0 Let d be 2/(-6) + (-35)/(-42). Suppose -21*m = -19*m - 8. Let -d*g**m + 0*g + 0*g**3 + g**2 - 1/2 = 0. What is g? -1, 1 Let b(a) be the second derivative of a**4/36 + 4*a**3/9 - 3*a**2/2 + 23*a. Solve b(s) = 0. -9, 1 Suppose 0 = -3*y + 3 + 3. Let b be (-4)/3*-3 + -2. Factor -b*r**2 + 2*r**y + 3*r**4 - 6*r**2 + 3. 3*(r - 1)**2*(r + 1)**2 Let h be (-45)/81*8/(-20). Factor -h*w**2 - 2/9*w**3 + 4/9*w + 0. -2*w*(w - 1)*(w + 2)/9 Let d = 1 - -4. Suppose -d*i = -4*i - 2. Solve 3 + 2*v**3 - 3 - i*v**2 = 0 for v. 0, 1 Factor 10*n**4 + 176*n + 5*n**2 - 5*n**3 - 10*n**3 - 176*n. 5*n**2*(n - 1)*(2*n - 1) What is v in 38/11*v**2 + 0*v + 30/11*v**3 - 8/11 = 0? -1, -2/3, 2/5 Suppose -u + 10 = 2*g + u, 0 = -2*g - 5*u + 13. Suppose -p + 2*q = 3 + 1, -p + q = 0. Let 3*w**3 - 2*w**3 + p*w**2 - w**2 - w - w**g - 2*w**2 = 0. What is w? -1, 0, 1 Let h(k) = -k**2 - 2*k + 2. Let o be h(-4). Let l(g) = 11*g**3 - 6*g**2 + 6*g + 6. Let j(b) = -2*b**3 + b**2 - b - 1. Let x(z) = o*l(z) - 34*j(z). Factor x(i). 2*(i - 1)*(i + 1)**2 Let z(u) be the third derivative of -u**7/1260 + u**6/120 - u**5/30 + u**4/3 - 4*u**2. Let d(i) be the second derivative of z(i). Solve d(b) = 0 for b. 1, 2 Let o be (-10)/(-90) - (-6)/27. Factor 2/3*a - 1/3 - o*a**2. -(a - 1)**2/3 Let n(v) be the first derivative of -v**6/2 + 3*v**5 - 15*v**4/2 + 10*v**3 - 15*v**2/2 + 3*v - 8. Find r such that n(r) = 0. 1 Factor -4/3*i**4 + 8/3*i**2 + 2/3*i**5 + 8/3*i - 2*i**3 + 0. 2*i*(i - 2)**2*(i + 1)**2/3 Let c(n) be the third derivative of n**6/120 - n**5/60 - 2*n**2. Factor c(p). p**2*(p - 1) Let i(s) be the first derivative of -81*s**4 + 120*s**3 - 56*s**2 + 32*s/3 - 7. Let i(x) = 0. Calculate x. 2/9, 2/3 Let f(h) be the first derivative of h**5/5 - h**4/2 - h**3/3 + h**2 - 26. Suppose f(m) = 0. Calculate m. -1, 0, 1, 2 Let x = 5 + -3. Suppose -4*m - m = 2*c - 9, -x*m - 3*c = -8. Factor u**3 - m - u**2 + u**3 - 3*u**5 - 5*u**4 + 7*u**2 + u. -(u - 1)*(u + 1)**3*(3*u - 1) Let z(t) be the second derivative of 2/21*t**3 + 0 + 0*t**2 + 1/14*t**4 + 4*t. Factor z(g). 2*g*(3*g + 2)/7 Let a(z) = -z**2 + 9*z - 4. Let k be a(9). Let o be (3 + k)/(0 - 4). Suppose u + 2*u**5 - u**4 + o - 5/2*u**3 + 1/4*u**2 = 0. What is u? -1/2, 1 Factor 0 + 4/3*w + 0*w**2 - 1/3*w**3. -w*(w - 2)*(w + 2)/3 Let a = 14 - 70. Let l = a + 225/4. Let 0 + 1/2*h**3 - 1/4*h**2 - l*h**4 + 0*h = 0. What is h? 0, 1 Suppose 1/4 + 1/4*h - 1/2*h**2 = 0. What is h? -1/2, 1 Let t(b) be the third derivative of 0 - 1/630*b**7 - 1/18*b**3 + 0*b**4 + 1/90*b**5 + 2*b**2 + 0*b**6 + 0*b. Determine z so that t(z) = 0. -1, 1 Let f(k) = -k**3 + 8*k**2 + 8. Let n be f(8). Let m be (7/70)/(1/n). Factor -m - 2/5*l + 2/5*l**2. 2*(l - 2)*(l + 1)/5 Let p be (-156)/(-1482) - 49/(-76). Factor -1/4*x**2 - 1/2 + p*x. -(x - 2)*(x - 1)/4 Let a(d) be the second derivative of -d**7/1120 + d**6/240 - d**5/160 + 2*d**3/3 + 2*d. Let q(c) be the second derivative of a(c). Factor q(j). -3*j*(j - 1)**2/4 Let s(m) = -2*m**3 - 3*m**2 + m + 2. Let q be s(-2). Find f, given that 17*f**2 - 9*f**5 + 6*f + 3*f**3 - 2*f**2 - 36*f**4 + 21*f**q = 0. -1, -2/3, 0, 1 Let j be 4/(-20) + (-505)/(-25). Let h be 93/105 - 12/j. Factor -4/7 - 8/7*z**2 + 10/7*z + h*z**3. 2*(z - 2)*(z - 1)**2/7 Let c(g) be the third derivative of g**7/15 - g**6/12 - g**5/15 + 3*g**2. Suppose c(q) = 0. Calculate q. -2/7, 0, 1 Let q = -1093/3 + 365. Suppose q*c**2 - 4/3*c + 2/3 = 0. Calculate c. 1 Let m(b) = -b**2 - 1. Let k(a) be the first derivative of -a**3/3 - 2*a - 2. Let v(j) = 3*k(j) - 6*m(j). Solve v(f) = 0 for f. 0 Let c(b) be the third derivative of 0*b**4 + 1/180*b**6 + 0 + 0*b**3 + 0*b**5 + b**2 + 0*b. Find a such that c(a) = 0. 0 Suppose 1 = -2*f - 3. Let h be (8/(-12))/(f/6). Factor -3*c**4 - c**3 - 2*c**3 - c**h + 8*c**5 - 9*c**5. -c**2*(c + 1)**3 Suppose 4*t - 3*s - 12 - 2 = 0, 4*s + 2 = -3*t. Suppose -12 = -c - t*c. Factor 1/3*h**2 + 0 + 0*h + 0*h**3 - 1/3*h**c. -h**2*(h - 1)*(h + 1)/3 Let z be ((-8)/(-140)*-1)/((-4)/40). Let 0 + 10/7*r**3 + z*r - 2*r**2 = 0. Calculate r. 0, 2/5, 1 Determine u, given that -13 - 3*u - 9*u + 4
{ "pile_set_name": "DM Mathematics" }
+ 5*g, x = -c + 2*g for c. 5 Let o be (10 - 5) + 10 + -13. Solve -2*l - 9 = k, o*k - 19 = 4*l + 3*k for l. -5 Suppose 6 + 2 = 2*b. Let j(t) = -t**2 + 4*t + 3. Let r be j(b). Solve -r*w = -v, -11 = -2*w - 0*w - 3*v for w. 1 Let w = 4 + -1. Let q(h) = -h**3 + 2*h**2 + 4*h. Let t be q(w). Suppose 5*i = -m - 1, m - 3*m = i - 7. Solve 0 = 4*n - t*l + 12, 0*n + 2*l - 8 = m*n for n. 0 Let c be (2/(-12)*-4)/(-4)*-30. Let g be (1 - 5)/(10/(-15)). Solve -c*v + 15 = 0, -x - 8 = -4*v + g for x. -2 Suppose -10*a + 54 - 14 = 0. Solve -4*h = -4*v + a, -6*v - 2*h - 18 = -4*v for v. -4 Let h be (6 - -2)*(104/32)/13. Suppose 5*v + 4*q = -6, 0 = 3*v - q + 6*q + 14. Suppose 0 = -3*c + v*c + 3. Solve 25 = -h*k + c*y, 15 = k + y + 3*y for k. -5 Suppose -g - 3 - 4 = 0. Let v be 3*1 - (g - -6 - 1). Solve 5*t = 4*i - 2, 7*t - v = 3*t + i for t. 2 Let f be 4 + (-2)/4*6. Suppose 0 = -5*l - j + f, 4*j = -3*l + 6*l - 19. Solve 4*z + l + 7 = 0, 2*v = -3*z - 6 for v. 0 Let s(y) be the third derivative of y**4/8 + 25*y**3/2 - 10*y**2. Let u be s(-22). Solve -3*v + r - 1 = 0, 3*r = -u*v + 4*v + 17 for v. 1 Let n(p) = -2*p + 26. Let g be n(6). Suppose 4*t - 44 = -12. Let o be 12/t*4/3. Solve 0 = o*z - 2*u - g, 4*u + 13 = -5*z + 3 for z. 2 Suppose 0 = -2*l - 2, -u + 4*l - 12 = -20. Solve 0 = 2*o - 12*j + 14*j - 12, -u = 4*o - 3*j for o. 2 Let h = -28 + 39. Suppose h*z - 17*z + 72 = 0. Solve z = -4*y - 5*d, -y - 4*d - 12 = y for y. 2 Let a be 2*(-1)/(0 + -1). Suppose l + 19 = -1. Let c = 20 + l. Solve c = a*h - 4*k - 14, -5*h - 5*k + 21 = 1 for h. 5 Suppose -5*r + r + 4 = -c, -2*c + 3*r = 3. Suppose c*o + 24 = 2*o. Suppose -2*i - o = 5*y, 0 = 7*i - 3*i + 4*y. Solve -2*l = -3*q - 8, i*l - 2 = -q - 0 for q. -2 Let q be 2/((2/(-4))/((-59)/(-4))). Let d = -57 - q. Let j be (-79)/(-3) - 4/(-6). Solve -m + 7 = s, 5*s + d*m - m - j = 0 for s. 5 Suppose 57 - 54 = b. Solve r = 4*z + 4*r + 7, 5*z + 2 = b*r for z. -1 Let j = 15 + -10. Suppose z + 4 = j*z. Suppose -8 = -3*v + z. Solve -v*k - y + 3 = 16, 0 = -3*k + 3*y - 21 for k. -5 Let o(a) = -a**3 - 18*a**2 + 5. Let c be o(-18). Solve 15 = -5*b - 5*u, 5*b - b + c*u + 12 = 0 for b. -3 Let h be 55/(9 - -2)*(-1 - -2). Solve -4*z + 16 = -4*w, -3*w - h*z = -4*z for w. -1 Suppose 4*o - 4*c = -484, -2*o - c - c - 242 = 0. Let x = 124 + o. Solve -x*s - 1 = 4*r, r + 2 = 1 for s. 1 Suppose 0 = -105*p + 99*p + 18. Solve 12 = x - p*h, 3*x - 2*h = 3*h + 24 for x. 3 Let a = 1 + 2. Suppose -2*m - m = 4*k + 53, a*m - 2 = k. Let b = k - -20. Solve -5*c + 4*v - 15 = -v, 2*v = -3*c - b for c. -3 Suppose -6*t - 23 = -7*t. Let i = t - 18. Solve 2*q + 8 = -3*b - 0*q, -5*q - 20 = i*b for b. 0 Suppose -10 = -11*q + 6*q. Solve 0 = p, -p = -q*g - 0*p + 8 for g. 4 Suppose j + 5*z = 2*j + 1, -5*z - 3 = -2*j. Let h = -5 - -8. Solve -d - 3 = 0, u - h*u + 4*d + j = 0 for u. -4 Let a(n) = -12*n - 18*n + 9*n - n**3 + 23*n**2 - 3 - 16. Let j be a(22). Solve 2*u - u + 19 = j*y, u - 5*y + 29 = 0 for u. -4 Let q(i) = 2*i**2 - 60*i + 13. Let r be q(30). Solve 5*k + m + r = -3*m, 4*m = 12 for k. -5 Let c = -6 + 9. Suppose f = 3*s - 10, -c = -5*f + s + 3. Solve -3*g + 2*z - f = 0, -z + 5 = -g + 4*z for g. 0 Let v = 111 + -108. Solve 4*h + w - 4 = -v*w, -w + 13 = -3*h for h. -3 Let i be (1 - -3) + 0 + -1. Suppose 4*j = i*j. Suppose -4*c - 20 = 0, j = b + c + c + 8. Solve -3*k - b*w = 2*w - 17, k + 5*w - 13 = 0 for k. 3 Let q be (-8)/20 + (-17)/(-5). Let g = -1 + q. Let a = 4 + -2. Solve 5*v - 2*y - a = 3*v, 4*v - 2*y - g = 0 for v. 0 Suppose 6 = -4*m - 5*z + 1, -3*m - 5*z - 5 = 0. Let t be ((-4)/(-2) - 6)*(-8)/8. Solve 3*i + 2*y - 4 = m, -4*i + 40 = -5*y + t for i. 4 Suppose q = 3*v - v - 6, 0 = -4*q. Solve l = -v*w + 16, 0 = 6*w - w + l - 26 for w. 5 Suppose 7*m + 4 = 32. Suppose m*o = 7*o. Solve o = 5*s + r - 4, -3*s + 4*r = s - 8 for s. 1 Let b = -49 - -45. Let c be (6/4)/((-2)/b). Solve -5*s = c*g - 5, -s - 4*g = 15 + 1 for s. 4 Let a(p) = 3*p**2 + 64*p - 64*p - 3. Let z be a(-3). Solve 0 = 4*j + 4*t - z, -2 - 4 = 4*j - 2*t for j. 1 Suppose 3*r + 5*r = 24. Let i be (-5 + r - -5)/1. Solve 5*t + 17 = -2*n, i*t + 0 = -5*n - 14 for t. -3 Let c(w) = w**2 + w + 1. Let r be c(-3). Let a = r + -7. Suppose -4*m = 4*h - 28, -10 = -2*m + 2*h - a. Solve -j = 3*y + 10, 3*j - 2*y - m = y for j. -1 Suppose 4*i + 0 - 4 = -5*o, 2*o = i - 1. Let w be (-4)/8 + (-11)/(-2). Solve -3*d - 4*c + 19 = o, 3*d - 2 = w*d - c for d. 1 Let l(z) = z**3 + 5*z**2 + 5*z + 4. Let a be l(-4). Let v = a - 14. Let y = 14 + v. Solve -4*j + 0 + 25 = 5*i, -2*j - 3*i + 13 = y for j. 5 Let d = -14 - -10. Let z be ((-10)/d)/((-5)/30*-3). Solve 4*m + 16 = -5*f, -3*f + z*m - 17 = -0*f for f. -4 Let y(q) = -q**3 - 6*q**2 + 13*q + 93. Let i be y(-5). Solve a + 2*r - r - 5 = 0, i*r = a - 1 for a. 4 Suppose -30 - 5 = -k. Let b = -25 + k. Suppose 9*o - b = 4*o. Solve o*z - 5*q = 3*z + 23, -4*z = -4*q - 4 for z. -3 Suppose -19 = 6*w - 19. Solve 0 = -5*a + q - 10, w = 2*a + 4*q - q + 4 for a. -2 Let r = 181 - 169. Solve 0 = b + j - 0 + 2, 0 = -3*j - r for b. 2 Suppose -4*j + 4*c - 6 = -6*j, -13 = -3*j - 2*c. Solve 4*b = -2*l - 18, -2*b + 10 = -j*l + 1 for l. -3 Let u = -114 - -119. Suppose q + 1 = -h, 45 = 2*q + 3*q - u*h. Solve 0*l - 3*l = -3*g - 3, -5*g = -4*l + q for l. 1 Suppose -4*y + 3*y = 4, y = 2*u - 12. Suppose 0 = -3*n + 1 + 11. Solve -3*b - n*d - 14 = 0, -5*d = -5*b - u*d + 15 for b. 2 Suppose 3*m + 3 + 3 = 3*h, -3*h = 4*m - 41. Suppose 0 = 280*d - 277*d - 9. Suppose h - 1 = d*g. Solve -i + 2*i = 4*w - 15, -3*i + g*w = -5 for i. 5 Suppose -4*p + 6 = -p. Suppose -k - 11 = -2*l, 3*l + p*k - 6*k = 9. Suppose c + 4 = l. Solve -5 = c*w + 5*g, -w - g - 2*g - 7 = 0 for w. 5 Let n = 7 + -4. Let k = 1 + n. Let l be (-3)/((-30)/(-5))*0/1. Solve -5*w - 2*f = 8, l = 2*w + f - 0 + k for w. 0 Suppose 0 = -3*b + 4*i + 9 + 22, -12 = 3*i. Let v(x) = -2*x - b*x**2 - 4 - 3*x**3 + 5*x**3 - x**3. Let l be v(6). Solve -3*r - d = 3*d - 5, -4*d = -l for r. -5 Suppose 22*g - 13*g - 45 = 0. Solve 5*f + 15 = -4*j + 3*j, 2*j = g*f for f. -2 Let n(d) = -2*d + 26. Let k be n(12). Solve -5*y = -z + 22, -y - 20 = -4*z + k*y for z. 2 Let j = -421 + 423. Solve j*u - 5*a + 25 = 0, -2*u - 16 = -4*a + 2*a for u. -5 Let l = 451 + -448. Solve p = l*t, -5*t + 2 + 3 = 0 for p. 3 Let m = 4 + -3. Suppose 7 = 2*y - 3*t, m = -t - 0. Solve -y*d + c + 18 = 3*c, -2*d = -c - 6 for d. 5 Let o be (11 - 1) + 110/(-22). Solve -4*l + 8 = 3*s, 2*s + 4*l = l + o for s. 4 Let u(c) = -2*c + 18. Let q be u(-6). Suppose -4*g + 33 = -5*b, -b = 5*g - 5*b - q. Solve -5*a - 4*k = -g, 4*k + 12 = a + a for a. 2 Let n = -268 + 271. Solve -n = -3*u + 3*b, -4*u - 4*b = u + 4 for u. 0 Let k = -28 - -32. Suppose -3*j = 4*c - 2*j - 22, k*j = 2*c - 2. Solve 1 = -2*b + 6*b - 3*r, 0 = -c*b + r - 7 for b. -2 Suppose 0 = -2*p - 10*b + 9*b + 8, -3*b + 9 = p. Solve 0*i - 5*g = p*i, 2*i = 2*g for i. 0 Suppose 17 - 29 = -4*z. Solve -4*k + 3*f = -19 + 5, 0 = -3*k + z*f + 9 for k. 5 Let n = -176 + 180. Solve n*h = 0, f - 5*f = -2*h - 12 for f. 3 Let k(y) = -y**2 + 6*y - 5. Let s be k(4). Let n be -1 + (s - 12/(-4)). Solve n*z + 10 = -4*u, 14 = -2*u - 3*z + 5*z for u. -5 Suppose -4*p = 2*h - 7*p, 3*p = 4*h. Solve h = -g + 2*x - 5, 0 = -x - 1 + 3 for g. -1 Suppose -2*t - 2*t + 32 = 0. Suppose -3*a - n - 15 = 0, 2*a - 2*n - 6 = 4*a. Let o be 22/(-33)*(0 - a/(-4)). Solve -i + o = -0*v + v, 2*v + 5*i = t for v. -1 Suppose 10*w = 12*w + 16. Let p be 2/w + (-18)/(-8). Solve 4*y + 3*x - 3 = -8, -p*y - 5 = x for y. -5 Let y be (3/6)/(2/4). Let h = y + 3. Suppose 2*x = 5*m + 21, m - 12 = 3*x - 63. Solve h*d + x = c - 7, -d - 5 = 0 for c. 5 Let f = 203 + -200. Solve 2*b - f*a = 8, -2*b - a = -0*b - 8 for b. 4 Let a = 369 - 364. Suppose 4*b + 0*b = 16. Let o = b + -2. Solve -2*c + 3*i = -10, 0 = c + o*i - 0*i - a for c. 5 Suppose 0 = u + m - 5*m - 26, -u + 5*m + 28 = 0. Let y = -15 + u. Solve o + v + 17 = 6*v, 2*v - 12 = y*o for o. -2 Suppose -6*q + 9*q = 21. Suppose l - 5 = -2*z, 4*l + l + q = -2*z. Solve h + x - 11 = 5*x, -40 = z*h + 5*x for h. -5 Let d = -388 - -392. Solve 19 = 5*r - m, 1 = -d*r + 2*m + 15 for r. 4 Suppose 0 = -z - 4*f + 15, -2*f - 3*f + 30 = 5*z. Suppose -z*t + 24 = -7*t. Let b(i) = -4*i. Let n be b(t). Solve -2*o + 3 = 3*p, -5*o + 0*o = -3*p + n for o. -3 Let c be 1*(-6)/6*-3. Supp
{ "pile_set_name": "DM Mathematics" }
and 3? 3 Let z = -290 - -433. Suppose -4*u + z = -145. What is the highest common divisor of u and 108? 36 Suppose -4*r + 39 + 137 = 0. Calculate the greatest common factor of 572 and r. 44 Let g = -24 + 20. Let r be (-2)/4 + (-14)/g. Suppose r*f = 5*b - 280, -b - 2*f = -2*b + 56. Calculate the greatest common divisor of b and 8. 8 Suppose 605*d + 2500 = 607*d. Calculate the highest common factor of 10 and d. 10 Let o be (62/(-8) + 1)*-4. Let s be (39/(-6) + 4)*(-16)/(-20). Let a be (-1)/((-2)/((-12)/s)). What is the highest common divisor of a and o? 3 Let a = -100 + 111. Let r be (129/2)/1*2 + 3. What is the highest common divisor of a and r? 11 Let g(y) = y**3 + 120. Let r = 4 + -1. Suppose -2*h - 6 = 5*z, -3*h = 3*z - r + 12. Let x be g(z). Calculate the highest common factor of x and 48. 24 Let x(p) = p**3 - 13*p**2 + 20*p - 40. Let o be x(12). Calculate the highest common divisor of o and 350. 14 Suppose x = -3*r + 5, -3*r + 0 = -5*x - 11. Let k be 26 + (x/1 - -3). Let l be (-592)/(-7) - (-28)/(-49). Calculate the highest common divisor of k and l. 28 Suppose -4*v + 4*p + 100 = 0, -3*v - v + 118 = 2*p. Let r = 2 - 0. Let g be r/8 + 54/8. Calculate the highest common factor of v and g. 7 Suppose -4*b - 4*u - 87 = u, 33 = -b + u. Let t be 4 + -2 + 0 - b. Calculate the highest common factor of t and 90. 30 Let k be 15/10 - 66/(-4). Let i = -27 - -36. Let h(w) = -w + 15. Let r be h(i). Calculate the greatest common divisor of r and k. 6 Let a(d) = d**2 + 27*d + 318. Let b be a(-18). Calculate the greatest common divisor of b and 260. 52 Let m = 145 + -35. Calculate the greatest common divisor of 66 and m. 22 Let q be 18*((-505)/(-15) - -5). What is the highest common divisor of 12 and q? 12 Suppose y - 1 = h, 0*h - 2*h + 16 = 4*y. Suppose 15 = 5*b, -h*l - 1 - 1 = -4*b. What is the highest common factor of 20 and l? 5 Let j(y) = 5*y + 16. Suppose 0 = -2*p + 4*p - 6*p. Let k be j(p). Calculate the highest common factor of k and 48. 16 Let z = 191 + -92. What is the highest common factor of 11 and z? 11 Let x(o) = -5*o**3 + 5*o + 5. Let f be x(-2). What is the highest common factor of 1050 and f? 35 Let u = -688 + 689. Calculate the highest common factor of 121 and u. 1 Suppose 10*o - 13*o = 0. Suppose o = 7*r - 2*r - 130. Suppose 22 = 5*k - 43. What is the greatest common factor of k and r? 13 Let n be (-8)/(4 - 54/15). Let v be ((-3 - 43) + 1)*n/25. Suppose -4*t + 42 = -102. What is the greatest common divisor of v and t? 36 Let s be (4/((-4)/11))/(4/(-148)). What is the highest common factor of s and 74? 37 Let k = -1 - -6. Suppose -t - 308 = -k*t. What is the highest common factor of 7 and t? 7 Let o(b) = 2*b**2 + b + 4. Let t = 17 - 13. Let p be o(t). What is the greatest common divisor of 5 and p? 5 Let l(o) = -o**3 - 20*o**2 - o + 112. Let z be l(0). Calculate the highest common divisor of 176 and z. 16 Let q be -3 + 3 - 225/(-3). Suppose 4*g + q = 9*g. What is the greatest common factor of g and 10? 5 Let k be (-3 + 10)*6/21. Suppose -10 + k = 2*w, h = 3*w + 45. Suppose -5*j = 3*p + 2*p - 35, 5*p = j - 31. What is the greatest common factor of h and j? 11 Suppose 5*w + 112 = 2*m + 4*w, -56 = -m + 5*w. Calculate the greatest common factor of 238 and m. 14 Let x(r) = -14*r. Let w be x(-1). Let b be w/21 - (-52)/3. Let p = 73 + -19. What is the highest common factor of b and p? 18 Let r = -46 - -50. Suppose -x - 33 = -3*d + 76, -r*d + 3*x = -147. What is the greatest common divisor of d and 48? 12 Let f(l) be the third derivative of 61*l**4/12 - 5*l**3/6 + 21*l**2. Let i be f(1). What is the highest common factor of i and 9? 9 Suppose -17*m - 5*v + 6 = -16*m, 0 = -2*m - 4*v + 36. Calculate the greatest common factor of 936 and m. 26 Let g be (29 - 11)/(2/3). Let o = 47 - g. Calculate the greatest common divisor of 5 and o. 5 Suppose -67*d - 1008 = -81*d. What is the highest common divisor of 108 and d? 36 Suppose -2923 = -2*u - 5*z, -2145 = -u + 3*z - 656. What is the greatest common divisor of u and 22? 22 Suppose -4*w - 4*r - 24 = 0, -5*r - 34 = 2*w - 10. Let j be (20 + -10)/(w/(-2)). Calculate the highest common factor of 30 and j. 10 Let v = -1092 + 1268. What is the highest common divisor of v and 220? 44 Suppose -5*n - 124 = -4*h - 2*n, -3*h - 3*n + 72 = 0. Let f be (4 + -3)*(54 - 4). Let w be 20/f - (-416)/10. What is the highest common factor of w and h? 14 Suppose 13*i = 10*i + 6. Calculate the greatest common divisor of i and 106. 2 Let d be (66 - (-81)/9)/(3/128). Calculate the greatest common factor of d and 50. 50 Suppose 0 = 5*r - 16 - 9. Suppose 2*g - 3*k - 164 = -4*k, 3*g - r*k = 272. What is the highest common factor of 12 and g? 12 Let p be (14 - (-5 + 1)) + (-4 - 1). What is the greatest common divisor of p and 442? 13 Let p = 15 + -36. Let u = -19 - p. What is the greatest common divisor of 5 and u? 1 Suppose -1355 + 125 = -82*i. Calculate the highest common factor of i and 54. 3 Let v be -11 + 9 - (-5 - -1). Suppose 2*y - 3*p - 71 = 0, 0 = -3*y + 5*p - v*p + 105. Calculate the highest common divisor of 272 and y. 34 Let p(l) = l**2 - 7*l + 5. Let x be p(7). Suppose 6*k = 2*k - 16. Let y be 1 - (2/k + (-1)/2). What is the highest common divisor of y and x? 1 Let d(g) = g - 14. Suppose t + 3*h - 26 = 0, -4*t + 2*h + h + 29 = 0. Let c be d(t). Let a be 23*((3 - -4) + c). What is the highest common divisor of a and 23? 23 Suppose 6*d + 164 = -916. Let f be d/(-15)*6/8. Calculate the highest common divisor of f and 6. 3 Let n be 4/18 - (-534)/27. Let q = -325 + 385. Calculate the highest common divisor of q and n. 20 Let h = 70 + -54. Suppose -3*x + 4*x - 5*b - 7 = 0, x - 2*b = h. Calculate the highest common factor of 198 and x. 22 Let o(j) = 28*j - 65. Let b be o(5). Calculate the greatest common divisor of b and 2125. 25 Let f be -3*(6/(-21) + (-20)/28). Let t be 1 + (159 - -1) + -2 + f. Calculate the highest common factor of 18 and t. 18 Let z(q) = 7*q + 197. Let p be z(-16). What is the highest common factor of 51 and p? 17 Suppose -5*d = -4*d - 4. Suppose w - d*w + 6 = 0. Suppose -w*s + 13 = -1. What is the greatest common factor of s and 28? 7 Let l(k) = k + 45. Let t be l(27). Suppose -3*y = -0*y - 72. What is the highest common factor of t and y? 24 Let x be 5 + (-2)/(-2 + (-12)/(-4)). Suppose -x*o + 45 = 15. Suppose -6*t + 2*t - 5*m = -300, -t + 86 = 4*m. What is the highest common divisor of t and o? 10 Let z = -18 + 22. Suppose -4*a + 4*s = 5 + 3, 5*s - 28 = -z*a. Suppose b = 3*q - 0*b - 21, -6 = -2*q - a*b. What is the highest common divisor of q and 9? 3 Let d(l) be the first derivative of -l**3/3 + 3*l**2 + 13*l - 6. Let v be d(9). Let u = 23 + v. What is the greatest common divisor of 99 and u? 9 Suppose 9 = l + 2*f, -f = 6 - 9. Calculate the greatest common divisor of l and 46. 1 Suppose 0 = 17*v - 1696 - 3659. Calculate the highest common factor of 525 and v. 105 Suppose 13*t - 163 = 227. Suppose 0 = t*m - 27*m - 81. Calculate the greatest common divisor of 108 and m. 27 Suppose -q + 287 - 62 = 0. What is the highest common divisor of 90 and q? 45 Let a(j) = -j**3 - 13*j**2 + j + 15. Let h be a(-13). Suppose h = -2*o + 6. Suppose -o*g = -12 - 36. What is the greatest common divisor of 264 and g? 24 Let a(d) = d**2 - 8*d - 9. Let r be a(10). Suppose 0 = -r*b + 622 - 17. What is the greatest common divisor of 11 and b? 11 Suppose -3*m + 4 = 19, -m = 5*r - 1780. What is the highest common divisor of 21 and r? 21 Let g(n) = -n - 1. Let l(z) = 45*z + 9. Let i(d) = 9*g(d) + l(d). Let o be i(2). Suppose 2*f = -6 + 22. What is the highest common factor of o and f? 8 Let t(w) = w**2 - 13*w + 64. Let q be t(9). Calculate the greatest common factor of q and 126. 14 Let d be 15/((-735)/14) + 128/7. Calculate the highest common factor of 243 and d. 9 Let w = -1768 + 1781. Let h be 4/(-10) - 457/(-5). Calculate the greatest common factor of w and h. 13 Let r be (0 + 0)*5/15. Suppose 6*t + 618 - 1644 = r. Calculate the highest common factor of 19 and t. 19 Suppose -168 = -13*q + 6*q. Calculate the greatest common factor of 204 and q. 12 Let z(n) = 23*n**2 - 2*n - 29. Let w be z(7). Let o be (2/3)/(w/216 + -5). Let t be 3/5*(4 - -11). What is the greatest common divisor of o and t? 9 Let a be 4/30 + ((-506)/(-30) -
{ "pile_set_name": "DM Mathematics" }
q + b*c**2 + y*c and give b. 42 Rearrange (-4*x + 3*x**2 + 4*x)*(4 + 6 - 14)*(-1 + 2*x**2 - 1 + 0*x**2) to the form h*x**4 + c*x + a + k*x**3 + p*x**2 and give p. 24 Rearrange -7*h**4 + 2*h**2 + 13*h**3 - h + 4*h**3 - 18*h**3 to the form t*h**2 + g*h**3 + a*h**4 + k*h + n and give a. -7 Rearrange -g**4 + 7 + 7 - 9 - 6*g**3 to f*g**3 + b*g + q + a*g**4 + r*g**2 and give a. -1 Rearrange -12*d + 2 - d**3 - 7*d - 3 - d**3 to u*d**2 + f + t*d**3 + q*d and give f. -1 Rearrange 498*k + k**3 - 4*k**4 + 4*k**4 + 2*k**4 - 505*k to the form u*k**4 + t + s*k**3 + f*k + b*k**2 and give f. -7 Rearrange 0*d**3 - 8*d**3 - 4*d**3 - 16*d**3 + (-4 + 4 + d**2)*(-2*d + d + 3*d) to i*d**3 + m*d + w*d**2 + t and give i. -26 Express (4*h - 3*h + 2*h)*(0 - h + 0) + (h + 4 - 4)*(0*h + 7*h - h) as l*h**2 + q + g*h and give l. 3 Express 2*f - 2*f + f + (0 - 3 + 1)*(0*f - 3*f + 2*f) - f - 3 - 4 + 6 as o*f + a and give o. 2 Express (7*f**2 - 2*f + 2*f)*(f + f + f)*(-5*f + 2*f + 2*f) in the form a*f**3 + g*f**4 + v*f + o*f**2 + n and give g. -21 Rearrange b**2 - 5*b**2 + 0*b**3 + 4 - 2 + 2*b**3 to i*b**2 + z + l*b**3 + j*b and give i. -4 Rearrange -1 - 1 + 757*c**3 - 756*c**3 - 2*c to p*c + z*c**3 + f*c**2 + y and give z. 1 Rearrange -2*t - 3*t - 3*t - 2 - 3*t to the form c + b*t and give b. -11 Express (-2 + 2 - w)*(w + 5*w - 3*w) + (3*w + 2*w - 4*w)*(-4*w - 3*w + 3*w) + (2*w + 2*w - 7*w)*(-3*w + 0*w + 4*w) in the form p + x*w + d*w**2 and give d. -10 Rearrange -502 - o**4 + 502 - 2*o**3 - 13*o**2 to the form d*o**2 + a*o**3 + s*o + t + i*o**4 and give i. -1 Rearrange (-4 + 4 - 1)*(0 + 3 - 2)*(13*i - 174 + 174) to n + j*i and give j. -13 Express 62*i**2 - 137*i**2 + 67*i**2 + (-i**2 + 4*i**2 - 5*i**2)*(-1 + 1 - 1) as s*i + c*i**2 + a and give c. -6 Express -103*l - 1 + 0 - 22*l in the form m*l + c and give c. -1 Express 2*i - 3*i - 4*i in the form v + n*i and give n. -5 Rearrange 5*q - 3*q + 14*q + (-1 - 1 + 0)*(-2*q + 3*q + 0*q) to the form v*q + a and give v. 14 Express -1 + i**3 + i**4 - 3*i**4 - 7*i**3 + 0*i**4 in the form g + x*i**4 + w*i**3 + u*i**2 + n*i and give x. -2 Rearrange (7*b - 4*b - 21*b - 19*b)*(3 - 3 + 1) to w + i*b and give i. -37 Rearrange -1 + 113*y**4 - y**3 - y**2 - y**3 - 1 - 115*y**4 to the form a*y + n*y**4 + u*y**3 + l*y**2 + t and give n. -2 Rearrange -3*h**2 - h**3 - 4*h**2 + 6*h**2 to the form s*h + z*h**2 + g*h**3 + j and give g. -1 Express 0*q**3 - q**3 - q**3 + (-2*q**2 - 4*q**2 + 4*q**2)*(2*q - 2*q - 2*q) + (-2*q**2 + 1 - 1)*(-8 + 8 + 5*q) as x*q**3 + v*q + r*q**2 + g and give x. -8 Rearrange -24*s**4 + 8*s**4 + 8*s**3 + 0*s + 2*s**2 + 2 - 2*s + 15*s**4 to the form v*s**2 + a*s**3 + j + c*s + l*s**4 and give c. -2 Rearrange -b - b**3 + 2*b**4 + 4 + 0 - 1 + 5*b to p*b**4 + l*b + o*b**2 + x + h*b**3 and give x. 3 Express -p + 4*p**4 - 1 + 2*p**2 + 0 - 2*p**2 in the form a + v*p**4 + r*p**2 + n*p + w*p**3 and give v. 4 Express -4*v**4 + 4*v**2 - 2*v - 2*v**2 + 0*v - 4 + 2 in the form a*v**4 + i + m*v**2 + f*v**3 + t*v and give m. 2 Rearrange 3 + 8 - 4 - 2*f to the form v*f + o and give v. -2 Rearrange -43*x + 19*x + 17*x to w + a*x and give a. -7 Express (0 + 3 - 2*y - 1)*((2 + 3 - 3)*(y + y + 0*y) - 6*y + 12*y + 11*y) in the form h*y**2 + c*y + i and give h. -42 Express -27*d**3 + 48*d**3 - 29*d**3 + d**2 - 1 as h*d + n + u*d**3 + g*d**2 and give g. 1 Rearrange (-y + 3*y + 3*y)*(4 - 2 - 1 + (-1 + 4 - 1)*(-3 - 2 + 7)) to the form j*y + v and give j. 25 Rearrange r**2 - 2*r + 3*r - 116 + 107 + r**2 to the form u + m*r + p*r**2 and give u. -9 Rearrange -14*s**3 - 3 + 15*s**3 - 3*s**4 - 10*s + 5 to d*s**3 + m*s**4 + p + r*s**2 + i*s and give d. 1 Rearrange -2*f + 2*f + 2*f + (4 + 3 - 5)*(-f + 5*f - 2*f) + 3*f + 11*f - 7*f to the form t + u*f and give u. 13 Rearrange (2 + 0 - 1)*(5*w + 8*w - 5*w) to h*w + z and give z. 0 Rearrange 0*z + 0*z + 2*z + (4*z - z - z)*(3 - 2 + 0) - 5*z + 8*z + z to i*z + c and give c. 0 Express (-6*s + 5*s**4 + 6*s)*(-2 + 1 + 3) in the form d*s**4 + y*s**3 + k*s**2 + v*s + n and give v. 0 Express 2*g**2 - 2*g + g**4 + 5*g - g as x + w*g**3 + n*g + t*g**4 + j*g**2 and give n. 2 Rearrange (1 - 4 + 5)*(-11 + 11 + 14*p)*(-5*p**2 + 3*p**2 + 0*p**2) to the form w*p + u*p**2 + y + v*p**3 and give v. -56 Rearrange -4 - 6*i**3 - i**2 + 4*i**3 + i - 2*i**4 + 1 to y*i + q*i**4 + t + s*i**3 + m*i**2 and give y. 1 Express -2*a**2 + 2*a**2 + 16*a**2 in the form h*a**2 + p + f*a and give h. 16 Rearrange (-51 + 51 + 8*l)*(-3 + 4 - 3)*(0 - 1 + 5) to d + c*l and give c. -64 Express (6*v**2 - 5*v**3 + 5*v**3 + 2*v**3)*(-1 + 0 - 2) in the form k*v + y*v**2 + p + s*v**3 and give y. -18 Express 43*p**2 - 2*p**3 + 2*p - 22*p**2 + 65 - 1 - 19*p**2 in the form d*p**2 + t*p**3 + b*p + y and give d. 2 Rearrange 3*c**2 + 35*c - 35*c + (c + 3*c - 2*c)*(c + 2*c - 2*c) - 2*c - c**2 + 2*c - 1 + 2*c**2 + 1 to f*c + m*c**2 + t and give t. 0 Rearrange u**2 - u**4 - u**4 + 0*u**4 - u + 7*u**2 to s*u + l + q*u**4 + v*u**3 + m*u**2 and give q. -2 Rearrange (11*s + 10 - 10)*(-2 - 3 + 2)*(7*s - 12*s - 4*s) to the form d + p*s + b*s**2 and give b. 297 Rearrange (84*v + 700 - 700)*(0 + 0 + v**2) to f*v**2 + d*v**3 + h*v + l and give d. 84 Rearrange (4*v + 0*v - 5*v)*(4*v + 5 - 5) + 7*v - 7*v + 3*v**2 + (5*v - 2*v - 4*v)*(v - v + v) to the form g + w*v**2 + i*v and give w. -2 Rearrange 2 - j**3 + 3*j**3 - 8 to the form x*j**3 + q + l*j + r*j**2 and give q. -6 Rearrange (2*p + 3*p - 2*p)*(0*p**3 - 2*p**3 - 1096*p**2 + p + 1097*p**2 + 19) to q*p**4 + c*p + g*p**2 + d*p**3 + y and give d. 3 Express (-8*a**2 - 5*a**2 - 1 + 5*a**2)*(3 - 1 - 4) as u*a + m*a**2 + f and give m. 16 Rearrange 7*l - 5*l**3 + 13*l**3 + 3 - 1 + l**2 - l**4 - 10*l**3 to the form t*l**3 + q*l**4 + f*l**2 + w + i*l and give q. -1 Express 148*q + 4 - 148*q + 5*q**2 as f*q**2 + z + p*q and give f. 5 Express 5*n + 0*n**3 - 2*n**3 + 3*n**3 + 2*n**2 + 0*n in the form t*n**3 + v + i*n**2 + q*n and give q. 5 Rearrange 1 - 84*d + 80*d + 3*d**4 - 4*d**4 to the form r + n*d + s*d**3 + q*d**2 + x*d**4 and give q. 0 Express l**2 + 2 + 3*l**2 - 1 as s*l**2 + x + p*l and give x. 1 Rearrange -2*i**4 + 23*i**2 - 24*i**2 + 2*i**3 - i**3 to s*i**3 + n*i + h*i**2 + j*i**4 + f and give s. 1 Rearrange (-3*t + 0*t + 5*t)*(t**2 + 3*t**2 + 0*t**2) + (4*t**2 - 2*t**2 - 4*t**2)*(4*t - 5*t + 0*t) + 5 - t**3 - 5 to p*t + l*t**2 + x*t**3 + r and give x. 9 Rearrange ((-3*a + a + 3*a)*(-5*a + 4*a + 0*a) + 3*a - 3*a + 3*a**2)*(6 + 7 - a + 4)*(2 + 0 - 4) to the form q*a**3 + m*a**2 + k*a + j and give m. -68 Express -37 + 20 + 18*m**2 + 15 as c*m + n*m**2 + q and give n. 18 Rearrange (-2*l + l + 3*l + (-1 - 2 + 5)*(-l + 5*l - l))*(1 + 2*l - 2*l - 5*l) to the form p + z*l + c*l**2 and give c. -40 Express 3 - 5 + 2*n + 0*n**4 - 6*n**4 as w*n**2 + j*n**3 + p*n + u + o*n**4 and give j. 0 Rearrange 3*k**4 - 4*k**3 - 2*k**4 - 2*k - 2*k**2 + 3*k**3 to the form l*k**2 + x*k + u*k**4 + c*k**3 + i and give c. -1 Rearrange 0 - 51*n**2 + 39*n - 41*n + 1 to the form v*n**2 + d + r*n and give d. 1 Rearrange 2*i - 7*i - 12*i + 0*i to p + c*i and give c. -17 Express 4*b**3 - 5*b**3 + 21*b**2 - b**3 as t*b**3 + v + c*b + x*b**2 and give v. 0 Rearrange (0 - 2 + 6)*(5 - 5 - 3*s) + (2 - 3 + 2)*(0*s - 2*s + 0*s) to the form q + i*s and give i. -14 Rearrange (4 - 7 + 1 - 1 + 2 - 2 + (-2 + 2 + 1)*(3 - 3 - 1))*(20*c - 20*c - 10*c**2) to w + t*c + g*c**2 and give g. 40 Rearrange (-p + 1 - 1)*(4 - 4 - 2)*(-44 - 18 - 34) to s*p + t and give s. -192 Rearrange (18*b - 9*b - 8*b)*(0*b**3 + b**3 - 2*b**3) to the form q*b**3 + w*b + x + f*b**2 + o*b**4 and give o. -1 Rearrange (1 - 3 + 5)*(-4 + 4 - 2)*(-c**2 - 26*c + 1 + 0 + 28*c) to m + f*c**2 + w*c and give f. 6 Rearrange 2*d + 2*d**4 - 2 + 4*d**3 + 0*d**3 + 4*d - 4*d to y*d + i*d**2 + q + z*d**3 + v*d**4 and give y. 2 Express -10*p + 10*p - 16*p**2 in the form y*p + f + a*p**2 and give a. -16 Express 6*s**3 - 6 + 2*s**3 - 5*s**3 - s**3 in the form w*s + j*s**3 + z*s**2 + r and give r. -6 Rearrange l**2 + 2*l**3 - 3*l**4 + 2*l + 1 + 10*l**2 + 5*l**4 - 12*l**2 to the form n*l**4 + k*l + o*l**2 + t*l**3 + a and give t. 2 Rearrange (-6*r + 6*r - 3*r**2)*(-4*r**2 - 8 + 8) + 4*r**2 + 2*r**4 - r - 4*r**2 to i*r + u*r**2 + k*r**3 + n + f*r**4 and give i. -1 Rearrange -3*r**2 - 21*r**4 + 15*r**4 - r + 8*r**4
{ "pile_set_name": "DM Mathematics" }
What is the derivative of w(m) wrt m? 4*m Let n(s) be the first derivative of 4*s**6 - 8*s**3 + 12. Find the third derivative of n(y) wrt y. 1440*y**2 Let r(i) = i**2 + 11*i - 7. Let q(o) = 4*o + 4. Let y be q(-4). Let v be r(y). Find the third derivative of t**5 - v*t**2 - t**5 + 4*t**2 + 2*t**5 wrt t. 120*t**2 Find the first derivative of -10*c - 6 + 10*c + 5*c**3 wrt c. 15*c**2 What is the second derivative of -4*b**2 + 2*b**2 + 6*b + 0*b**2 + 3*b**2 wrt b? 2 Let s(m) = -39*m**3 + 63*m**2 - 9*m + 9. Let a(i) = 10*i**3 - 16*i**2 + 2*i - 2. Let q(y) = -18*a(y) - 4*s(y). What is the third derivative of q(l) wrt l? -144 Let m be (2 + -5)*(-2)/3. Suppose -4*u - t + 0 + 13 = 0, 0 = -m*u - t + 9. Find the second derivative of -3*z - 3 + u*z + 3 + 3*z**3 wrt z. 18*z Let s(t) = 21*t**3 - 2*t**2 - 23*t - 2. Let m(q) = 64*q**3 - 7*q**2 - 70*q - 7. Let g(x) = 2*m(x) - 7*s(x). Find the second derivative of g(w) wrt w. -114*w Suppose -5*v = 5*z - 30, 11 = 5*z - 9. Let y be ((-4)/6)/(v/(-6)). Find the third derivative of 3*t**y - 4*t**6 + 2*t**6 + 3 - 3 wrt t. -240*t**3 Let c(p) be the first derivative of p**6 + p**3/3 + 6. What is the third derivative of c(b) wrt b? 360*b**2 Let z(u) be the third derivative of u**8/168 - 7*u**5/60 + 10*u**2. What is the third derivative of z(a) wrt a? 120*a**2 Suppose 4*f - 4*c - 32 = 0, 2*f - c + 4*c + 4 = 0. What is the third derivative of 6*d**2 + 13*d**4 - 22*d**4 + 5*d**f wrt d? -96*d Let v = 21 + -12. Let s = v - 7. Find the second derivative of 4*z + z**s - z - z - z wrt z. 2 Suppose -2*u + 6 = 2. Find the second derivative of 5*l - 2*l**2 + 0*l**2 + 4*l**u wrt l. 4 Let r(l) be the second derivative of 13*l**7/42 - 7*l**3/6 + 17*l. What is the second derivative of r(s) wrt s? 260*s**3 Let z = -3 + 8. Let b(m) be the second derivative of 0*m**4 + 0*m**z - m**2 + 3*m + 0*m**3 + 1/30*m**6 + 0. Differentiate b(s) wrt s. 4*s**3 Suppose -6*c + 6 = -4*c. Find the third derivative of 2*z**2 - 2*z**5 - c*z**2 + z**5 - 2*z**2 wrt z. -60*z**2 Let o(l) be the first derivative of 42*l**5/5 + 9*l**2/2 - 7. Find the second derivative of o(r) wrt r. 504*r**2 Suppose -14 = w - 3*w. Let y(p) = 2*p**3 - 3*p**2 - 3*p - 1. Let v(z) = -4*z**3 + 7*z**2 + 7*z + 2. Let q(c) = w*y(c) + 3*v(c). Differentiate q(m) wrt m. 6*m**2 Let o(h) = h - 6. Let q be o(9). What is the second derivative of -5*g + 3*g**5 + q*g**5 + g wrt g? 120*g**3 Let w = -3 + 7. Differentiate 10*z**w - z**4 - 2*z**4 - 1 + 3 wrt z. 28*z**3 Suppose -3 = d - 2*d. What is the second derivative of -a**4 + d*a**4 + 2*a + 0*a wrt a? 24*a**2 Let i(h) be the first derivative of h**3 + 7*h**2 - 9. What is the second derivative of i(b) wrt b? 6 Let o(m) be the second derivative of m + 0 + 1/2*m**4 + 0*m**2 + 0*m**6 + 0*m**3 + 0*m**5 + 1/14*m**7. Find the third derivative of o(n) wrt n. 180*n**2 Suppose 3*j + 2*b = 6, -2*j + j = -2*b + 6. Let s(p) be the third derivative of 0*p + p**2 + j + 1/24*p**4 + 2/3*p**3. Differentiate s(f) with respect to f. 1 Let c(f) be the second derivative of 0*f**2 + 0*f**4 - 1/5*f**5 + 0 + 1/2*f**3 + f. What is the second derivative of c(g) wrt g? -24*g What is the third derivative of 4*t**2 + 4*t**2 - 6*t**2 + t**2 + 6*t**3 wrt t? 36 Let b(s) be the second derivative of -19*s**3/6 + 33*s**2/2 - 20*s. Find the first derivative of b(g) wrt g. -19 Let k(c) be the second derivative of c**5/5 + 7*c**3/6 + 13*c. Find the second derivative of k(w) wrt w. 24*w Let z(v) be the third derivative of -v**6/15 - 7*v**4/24 + 15*v**2. What is the second derivative of z(s) wrt s? -48*s Find the second derivative of 17*h + 2*h**5 + 7*h - 4*h**5 - 7*h wrt h. -40*h**3 Let k(f) = -2*f**4 - 16*f + 4. Let o(p) = -2*p**4 - 17*p + 5. Let t(g) = 5*k(g) - 4*o(g). Find the second derivative of t(v) wrt v. -24*v**2 What is the first derivative of -5*t**4 - 18 + 9*t**3 - 3*t**4 - 9*t**3 wrt t? -32*t**3 Find the second derivative of 14 - 26*c**2 - 14 + 11*c wrt c. -52 Let p(q) = 2*q**4 + q**2. Let c(k) = 6*k**2 + 4*k**2 + k - 11*k**2. Let n(t) = c(t) + p(t). Find the second derivative of n(d) wrt d. 24*d**2 Let k(l) be the third derivative of -1/3*l**3 + 0*l**5 + 0 + 0*l**4 + 0*l + 1/60*l**6 - 3*l**2. Differentiate k(t) wrt t. 6*t**2 Let m be ((-2)/(-12))/(7/14). Let t(s) be the first derivative of 0*s - m*s**3 - 1 - 3/4*s**4 + 0*s**2. Find the third derivative of t(r) wrt r. -18 Let f(w) = 8*w**3 - 11*w**2 + 4*w. Let n(j) = -9*j**3 + 11*j**2 - 3*j. Let o(r) = 3*f(r) + 4*n(r). Find the third derivative of o(p) wrt p. -72 Let t be (-3)/6 - 17/2. Let j = t + 12. Differentiate -2*h + 3*h**3 + 2*h + 0*h**j - 1 wrt h. 9*h**2 What is the third derivative of -6*v**4 + 42 + 2*v**5 + 956*v**2 - 955*v**2 + 0 wrt v? 120*v**2 - 144*v Let i be (-9)/(-12)*8/2. What is the first derivative of 4*n - i - 2*n + 2*n - n wrt n? 3 Let d = -1 + 22. Find the first derivative of -8 - 10*n**3 + d*n**3 + 2 wrt n. 33*n**2 Find the second derivative of -6*v**4 + 3*v - 11 - v + 5*v**4 - 19*v**4 wrt v. -240*v**2 Let d(q) be the first derivative of 13/2*q**2 - 15*q - 1. Let x(f) = 7*f - 8. Let z(m) = -6*d(m) + 11*x(m). What is the derivative of z(s) wrt s? -1 Let y be -1 + 3 - (0 - 1). What is the first derivative of -3 - 5*a + 0*a + y*a wrt a? -2 Let h(n) be the third derivative of -n**6/60 - n**5/30 + 5*n**2. What is the third derivative of h(m) wrt m? -12 Suppose 3*y + 0*y = 15. What is the third derivative of -y*c**6 + 5*c**2 + 0*c**3 + 0*c**3 wrt c? -600*c**3 Find the third derivative of 64*d**4 - 3*d**2 - 28*d**4 - 27*d**4 wrt d. 216*d Differentiate 4 - 6*l + 3 + 0 wrt l. -6 Let x(w) = -11*w**4 - 2*w**3 - 2*w**2 + 17*w. Let o(y) = -y**3 - y**2. Let i(f) = -2*o(f) + x(f). What is the second derivative of i(d) wrt d? -132*d**2 Let h = 4 + -6. Let b be 9/2 - 1/h. Find the second derivative of -n**b + 0*n**5 - n + 2*n wrt n. -20*n**3 Let g(j) be the third derivative of 5/24*j**4 + 7*j**2 + 0*j + 1/12*j**5 + 0 + 0*j**3. What is the second derivative of g(h) wrt h? 10 Let x(z) be the second derivative of 5*z**8/7 + 11*z**4/12 - z**3/6 + 3*z + 5. What is the third derivative of x(t) wrt t? 4800*t**3 Let x(a) be the first derivative of -4*a**5/5 + 5*a**3/3 + 3. What is the third derivative of x(d) wrt d? -96*d Let m = -71 - -75. Let k(l) be the first derivative of 0*l**3 + 2 + 0*l**m - 4/5*l**5 + 2*l + 0*l**2. What is the first derivative of k(o) wrt o? -16*o**3 Let c be (4 - 1) + (-4)/(-2). Suppose 0 = n - c*p - 16, -p = 3*n - 2*n + 2. Differentiate 2 + 2 - n - 2*v with respect to v. -2 What is the third derivative of -2*s**2 + 2 - 5*s**4 + 6*s**2 - 2 wrt s? -120*s Let n(s) = 27*s**3 + 6*s**2 + 4. Let z(r) = 27*r**3 + 7*r**2 + 3. Let g(u) = -7*n(u) + 6*z(u). Differentiate g(w) with respect to w. -81*w**2 Suppose -5*d - f = 2*f - 20, 0 = -3*f - 15. Differentiate -5*g**2 + 11*g**2 - 3 - d*g**2 with respect to g. -2*g Let p(h) be the third derivative of h**6/60 - 5*h**5/12 + 26*h**2. What is the third derivative of p(r) wrt r? 12 Let z be (4/5)/(22/55). What is the third derivative of 6*a**5 - 21*a**z - 3*a**5 + 19*a**2 wrt a? 180*a**2 What is the first derivative of -2 + 2*f**3 - 3 - 8*f**3 + 3 wrt f? -18*f**2 Let g = 17 - 13. Find the third derivative of -5*h**g + 1 + 39*h**2 - 1 - 36*h**2 wrt h. -120*h Let w(l) = 1. Let k(q) be the second derivative of q**6/30 - q**3/3 + 3*q**2 - 2*q. Let c(y) = k(y) - 6*w(y). What is the second derivative of c(x) wrt x? 12*x**2 Let a = -4 - -9. Suppose -2*x + 4*x = 4. Find the third derivative of -i**2 - 3*i**5 - i**x + i**a wrt i. -120*i**2 Let n be (3 - 2)*(1 + 2). Let d be (-1)/(1*2/(-4)). Find the second derivative of -c - c + c - d*c**n wrt c. -12*c Let b be (2 - 4/2)*-1. Differentiate b*n + 5*n - 4*n - 1 with respect to n. 1 Let o = 17 + -14. What is the first derivative of 7 + 2*q - o + 2*q wrt q? 4 Let x(m) = -1 - 5 - m**2 + 5 + 4*m. Let a be x(2). Differentiate 0 + a - 1 - h**2 with respect to h. -2*h Let i(g) be the second derivative of 3*g**6/10 + 5*g**4/6 + 2*g. Find the third derivative of i(f) wrt f. 216*f Let k be 3 - -4 - 2 - 3. Find the third derivative of -5*i**k + 2*i**2 + 3*i**3 + i - i wrt i. 18 Let c(f) be the second derivative of -19*f**3/6 - 25*f**2 + 4*f. Differentiate c(s) with respect to s. -19 Let n(v) = -v**2 + 1. Let k(j) = -5*j**2 + j**3 + 4*
{ "pile_set_name": "DM Mathematics" }
ked without replacement from {w: 2, z: 8}. Give prob of sequence ww. 1/45 Two letters picked without replacement from {j: 3, z: 3, u: 3, w: 1}. Give prob of sequence ju. 1/10 What is prob of sequence en when two letters picked without replacement from {n: 1, k: 1, j: 1, e: 1, w: 2, r: 1}? 1/42 Three letters picked without replacement from {a: 1, n: 2, c: 2, q: 2, e: 1, w: 1}. What is prob of sequence cnq? 1/63 What is prob of sequence eb when two letters picked without replacement from {e: 2, i: 3, b: 1, f: 2, u: 6}? 1/91 Calculate prob of sequence iiie when four letters picked without replacement from {e: 5, i: 3}. 1/56 Two letters picked without replacement from yuya. Give prob of sequence yu. 1/6 Two letters picked without replacement from qqffaaaaqqaqf. What is prob of sequence fq? 5/52 Four letters picked without replacement from yfjjjjfjfjfpjf. Give prob of sequence pjjf. 5/572 Two letters picked without replacement from fssffsfvvvssnsf. Give prob of sequence vs. 3/35 Two letters picked without replacement from {c: 2, i: 1, u: 2, h: 1, f: 7, a: 1}. Give prob of sequence ui. 1/91 What is prob of sequence paph when four letters picked without replacement from {a: 2, k: 10, h: 2, f: 3, p: 2}? 1/11628 Calculate prob of sequence su when two letters picked without replacement from uyuusuquqssshzu. 4/35 Calculate prob of sequence wpg when three letters picked without replacement from {n: 4, p: 1, g: 4, c: 1, w: 1}. 2/495 Calculate prob of sequence rxx when three letters picked without replacement from {e: 3, x: 11, g: 3, r: 3}. 11/228 Calculate prob of sequence aw when two letters picked without replacement from {w: 7, a: 4}. 14/55 Three letters picked without replacement from {j: 3, v: 13}. What is prob of sequence vvv? 143/280 Calculate prob of sequence zz when two letters picked without replacement from {o: 4, z: 3}. 1/7 Three letters picked without replacement from {r: 1, u: 6, e: 4, y: 1, p: 1}. Give prob of sequence eyp. 1/429 Calculate prob of sequence bmme when four letters picked without replacement from ymybemed. 1/420 Four letters picked without replacement from {r: 3, o: 1, x: 2, h: 4, v: 2, m: 3}. What is prob of sequence mmxx? 1/2730 Two letters picked without replacement from srpgssr. What is prob of sequence gp? 1/42 Two letters picked without replacement from ppggbbcppppppppp. What is prob of sequence pc? 11/240 Calculate prob of sequence cctt when four letters picked without replacement from {t: 3, c: 3}. 1/10 Two letters picked without replacement from {g: 9, b: 8, u: 2}. Give prob of sequence gu. 1/19 Three letters picked without replacement from msmveyteemesemv. What is prob of sequence vme? 4/273 What is prob of sequence ned when three letters picked without replacement from zmmdmmzndnndenmnmn? 1/272 Calculate prob of sequence vv when two letters picked without replacement from vwvdudfw. 1/28 What is prob of sequence nnn when three letters picked without replacement from {i: 3, n: 15}? 455/816 Three letters picked without replacement from {p: 3, e: 4}. What is prob of sequence pep? 4/35 Three letters picked without replacement from {f: 1, p: 1, t: 3, z: 2}. Give prob of sequence ftt. 1/35 Calculate prob of sequence ac when two letters picked without replacement from {c: 3, g: 6, b: 3, f: 1, a: 5}. 5/102 Two letters picked without replacement from hhh. What is prob of sequence hh? 1 Calculate prob of sequence sz when two letters picked without replacement from {v: 1, b: 1, s: 1, z: 1, x: 3}. 1/42 Four letters picked without replacement from lmrlbmlolloblrbolmo. Give prob of sequence lmoo. 7/2584 Calculate prob of sequence wq when two letters picked without replacement from {q: 1, n: 1, u: 3, h: 1, w: 1}. 1/42 What is prob of sequence ppk when three letters picked without replacement from cskpcskkklksksp? 2/455 What is prob of sequence abb when three letters picked without replacement from abaaaaabaaaaaaabaaaa? 17/1140 Three letters picked without replacement from {b: 6, m: 7}. What is prob of sequence mmb? 21/143 What is prob of sequence zi when two letters picked without replacement from {u: 2, z: 2, i: 1, q: 1, t: 2, l: 5}? 1/78 Four letters picked without replacement from {f: 5, o: 3, z: 9, r: 1}. What is prob of sequence rofo? 1/2448 Calculate prob of sequence vzm when three letters picked without replacement from vbkdvmvbvvvdzzv. 1/195 Calculate prob of sequence fh when two letters picked without replacement from {x: 1, h: 7, m: 1, a: 6, r: 2, f: 2}. 7/171 Four letters picked without replacement from iizziziiizizzinzizzi. Give prob of sequence zzii. 18/323 Calculate prob of sequence hh when two letters picked without replacement from {h: 2, s: 7, u: 3, p: 7}. 1/171 Two letters picked without replacement from {f: 1, z: 6, q: 3, a: 2}. Give prob of sequence fa. 1/66 Two letters picked without replacement from {t: 4, d: 2, k: 1, x: 4}. Give prob of sequence tk. 2/55 What is prob of sequence fg when two letters picked without replacement from gcfff? 3/20 Four letters picked without replacement from hhhwkhwhkhhhhhh. Give prob of sequence hhkk. 11/1638 Three letters picked without replacement from {q: 3, e: 6, j: 4, z: 2, b: 1}. What is prob of sequence qqe? 3/280 Two letters picked without replacement from hdihhihhhvhvhh. What is prob of sequence vi? 2/91 Calculate prob of sequence ovj when three letters picked without replacement from ljvao. 1/60 What is prob of sequence vhnv when four letters picked without replacement from nvnnnvvh? 1/70 Calculate prob of sequence rr when two letters picked without replacement from {t: 1, u: 2, r: 3, s: 1}. 1/7 Calculate prob of sequence lwll when four letters picked without replacement from wzellwlllelwllll. 9/182 What is prob of sequence ex when two letters picked without replacement from rxrerzz? 1/42 Three letters picked without replacement from lttpl. Give prob of sequence tlt. 1/15 Three letters picked without replacement from iuiiuiiuuiiiuiiiiu. What is prob of sequence iuu? 5/68 Calculate prob of sequence gb when two letters picked without replacement from olnbg. 1/20 What is prob of sequence ky when two letters picked without replacement from {k: 2, y: 3}? 3/10 Three letters picked without replacement from ccxxxxxccc. What is prob of sequence cxc? 5/36 What is prob of sequence fvi when three letters picked without replacement from fvlqqqifvf? 1/120 Calculate prob of sequence rj when two letters picked without replacement from {g: 1, i: 1, r: 1, j: 1, h: 1}. 1/20 Calculate prob of sequence qjj when three letters picked without replacement from qqqjjqjqjqq. 14/165 Three letters picked without replacement from auvvhzvuuuuuvv. What is prob of sequence avh? 5/2184 What is prob of sequence eb when two letters picked without replacement from {b: 3, s: 1, q: 3, u: 8, e: 4}? 2/57 Two letters picked without replacement from wuuwuuuu. What is prob of sequence ww? 1/28 Three letters picked without replacement from wwziiziiywyhjzziii. What is prob of sequence ijz? 7/1224 Calculate prob of sequence ls when two letters picked without replacement from slllsss. 2/7 What is prob of sequence vvgm when four letters picked without replacement from {v: 6, g: 3, y: 1, n: 1, m: 1}? 1/132 Calculate prob of sequence xxv when three letters picked without replacement from {x: 6, v: 8, u: 3}. 1/17 Three letters picked without replacement from {d: 2, i: 1, w: 1}. What is prob of sequence diw? 1/12 Two letters picked without replacement from xxxxxxxxxxxxxxxxxxxu. Give prob of sequence ux. 1/20 Three letters picked without replacement from zzzq. What is prob of sequence zzq? 1/4 What is prob of sequence ha when two letters picked without replacement from {p: 6, h: 2, w: 3, v: 4, e: 4, a: 1}? 1/190 Calculate prob of sequence lu when two letters picked without replacement from {m: 1, l: 1, u: 4, w: 1, v: 1, f: 4}. 1/33 Calculate prob of sequence xj when two letters picked without replacement from tfoooxjot. 1/72 What is prob of sequence xxx when three letters picked without replacement from mxxxmmmm? 1/56 Two letters picked without replacement from {m: 14, c: 1, z: 2}. What is prob of sequence zm? 7/68 What is prob of sequence byby when four letters picked without replacement from hddyyydhyhdddhbyhbd? 5/116
{ "pile_set_name": "DM Mathematics" }
1224 Calculate the greatest common divisor of 2630838 and 63. 21 What is the greatest common divisor of 1941200 and 4232? 184 Calculate the greatest common divisor of 258071 and 107561. 29 Calculate the greatest common divisor of 804375 and 3577860. 6435 Calculate the greatest common divisor of 3094126 and 580. 58 What is the greatest common divisor of 1448 and 8895064? 1448 Calculate the greatest common factor of 89267904 and 5632. 704 Calculate the highest common factor of 1050158030 and 10. 10 What is the highest common factor of 2262578 and 39392? 2462 Calculate the greatest common factor of 1650561 and 9075. 363 What is the highest common factor of 250341 and 94913? 637 Calculate the highest common divisor of 552000 and 4612650. 3450 What is the highest common factor of 292636 and 136484? 596 What is the greatest common divisor of 1995 and 35299435? 95 What is the highest common factor of 40572 and 128961? 1449 What is the greatest common divisor of 6047244 and 38? 38 Calculate the highest common divisor of 219936 and 5448288. 2784 What is the highest common divisor of 852938156 and 28? 28 What is the greatest common divisor of 106450 and 32450? 50 What is the highest common factor of 395002 and 155434? 1426 What is the highest common factor of 9698 and 181278? 746 What is the highest common factor of 65331 and 5379633? 1071 What is the greatest common divisor of 431776 and 549152? 4192 What is the highest common factor of 272640 and 2290560? 1920 What is the greatest common factor of 84125 and 2572825? 25 What is the greatest common factor of 1170 and 182430? 90 Calculate the highest common divisor of 1969416 and 384. 24 What is the greatest common factor of 14 and 40700520? 14 What is the highest common factor of 793936431 and 1836? 459 Calculate the greatest common divisor of 1028 and 759390796. 1028 What is the highest common factor of 17134 and 368680? 26 Calculate the highest common factor of 16993467 and 9. 9 What is the highest common factor of 331103429 and 829? 829 Calculate the greatest common factor of 811 and 142937128. 811 Calculate the highest common factor of 10397595 and 7171. 71 What is the highest common factor of 5776420 and 336310? 1690 Calculate the highest common divisor of 286568580 and 108. 12 What is the greatest common divisor of 1165 and 3846597? 233 Calculate the highest common factor of 230 and 9217595. 115 What is the highest common factor of 44660 and 230405? 1015 What is the greatest common factor of 19323 and 34783547? 2147 What is the highest common divisor of 47318040 and 336? 168 What is the greatest common factor of 652250 and 65? 5 Calculate the greatest common divisor of 102 and 299838537. 51 Calculate the greatest common factor of 6141911 and 1010. 101 What is the highest common divisor of 453 and 636578703? 453 Calculate the highest common factor of 1543093 and 216361. 529 Calculate the highest common divisor of 423 and 2751333. 141 Calculate the highest common factor of 75048540 and 460. 460 Calculate the highest common factor of 24 and 19439100. 12 What is the highest common factor of 16 and 320511320? 8 What is the highest common divisor of 14112296 and 3476? 44 What is the greatest common divisor of 24837340 and 1160? 580 What is the highest common factor of 175131990 and 2970? 2970 What is the highest common divisor of 472 and 15066535? 59 What is the greatest common divisor of 15112209 and 168? 21 Calculate the greatest common divisor of 30080 and 75421840. 3760 Calculate the greatest common divisor of 7303660 and 17290. 910 What is the greatest common divisor of 41 and 18505? 1 What is the highest common factor of 3494842 and 286? 26 Calculate the highest common divisor of 585968 and 40598. 106 What is the highest common divisor of 408 and 8609208? 408 What is the highest common factor of 2434 and 45654538? 2434 What is the greatest common divisor of 42 and 22452976? 14 Calculate the highest common factor of 1132362 and 88. 22 What is the greatest common factor of 345338 and 1439186? 238 What is the greatest common divisor of 2121638 and 746002? 2078 Calculate the highest common divisor of 2499854 and 168. 14 Calculate the highest common divisor of 192 and 4601712. 48 Calculate the greatest common divisor of 209644 and 11764. 68 Calculate the greatest common divisor of 12633686 and 2496. 26 What is the greatest common divisor of 505350 and 28350? 450 Calculate the greatest common divisor of 16092 and 1138658. 298 Calculate the highest common factor of 513550 and 150. 50 Calculate the highest common divisor of 134193668 and 620. 124 Calculate the highest common factor of 15961331 and 1348. 337 Calculate the highest common factor of 123491 and 135. 1 What is the greatest common divisor of 214006680 and 48? 24 Calculate the highest common factor of 14 and 10672466. 14 What is the highest common factor of 1532562957 and 1161? 1161 Calculate the highest common factor of 43221598 and 89642. 4718 What is the greatest common factor of 26 and 67295358? 26 What is the highest common divisor of 1484556 and 62532? 2316 Calculate the highest common factor of 191428565 and 145. 145 Calculate the greatest common divisor of 10 and 4416450. 10 What is the greatest common divisor of 52468 and 8944? 52 What is the highest common divisor of 2346201 and 143? 143 What is the greatest common divisor of 7715310 and 30? 30 What is the greatest common divisor of 2148 and 65659348? 716 What is the greatest common divisor of 4245 and 32880? 15 Calculate the highest common divisor of 66096 and 2655504. 3888 Calculate the greatest common divisor of 1752 and 591374168. 584 What is the greatest common divisor of 666 and 21428217? 333 What is the highest common divisor of 695179732 and 4? 4 What is the greatest common divisor of 7126704 and 40176? 1296 What is the greatest common factor of 920 and 86795560? 920 Calculate the highest common divisor of 15 and 844396755. 15 Calculate the highest common divisor of 16618 and 1042186. 2374 Calculate the greatest common factor of 952292 and 7337. 253 Calculate the greatest common factor of 1 and 201861. 1 What is the greatest common divisor of 65291928 and 1352? 104 Calculate the greatest common factor of 246888 and 40986. 162 What is the highest common factor of 251856 and 1304? 8 What is the highest common divisor of 12797 and 17040043? 67 What is the greatest common divisor of 2459022 and 14398? 46 What is the greatest common divisor of 1840915 and 402009? 1301 Calculate the greatest common factor of 159160918 and 1372. 686 What is the highest common divisor of 507535883 and 2389? 2389 What is the greatest common divisor of 3605 and 5799003? 721 What is the highest common factor of 140434592 and 8? 8 What is the greatest common divisor of 50400 and 127552? 32 Calculate the highest common divisor of 1773839 and 582. 97 Calculate the highest common divisor of 184 and 2741439. 23 Calculate the highest common divisor of 26492696 and 408. 8 What is the highest common divisor of 232284 and 526? 2 What is the highest common divisor of 121237527 and 321? 321 What is the highest common divisor of 16718382 and 198? 18 Calculate the greatest common factor of 2224 and 42339261. 139 Calculate the greatest common divisor of 116783 and 4031. 29 Calculate the highest common factor of 27851040 and 4760. 280 What is the highest common divisor of 1351688 and 88888? 328 What is the greatest common divisor of 184287 and 1296544? 1307 What is the greatest common factor of 5371536 and 240828? 564 What is the greatest common divisor of 851962489 and 38? 19 Calculate the greatest common divisor of 429 and 687336793. 143 Calculate the highest common factor of 1451635 and 265. 5 What is the highest common divisor of 509052 and 1332? 12 Calculate the highest common factor of 196840693 and 2254. 1127 Calculate the highest common divisor of 4500 and 4466875. 125 What is the highest common divisor of 57696 and 31590363? 1803 Calculate the greatest common factor of 17430 and 169680. 210 What is the highest common divisor of 175179630 and 60? 30 What is the greatest common factor of 40658265 and 105? 15 Calculate the greatest common factor of 21089853 and 1109. 1109 What is the greatest common factor of
{ "pile_set_name": "DM Mathematics" }
5*k + 14. Suppose 3*s = -k*s. Suppose -2*j + 10 = -2*z, 3*j + s = -2*z + 20. Is 2 a factor of j? True Does 38 divide (-22)/(1*-2)*(45 - 7)? True Let h be 6 + -5 + (2 - 3). Suppose h = -4*f - f + 65. Is 4 a factor of f? False Let s = 18 - 10. Is 6 a factor of 26/s*(-12)/(-3)? False Let f = -28 - -19. Does 22 divide (-2)/9 - 200/f? True Is 32 a factor of 9387/147 + 1/7? True Let o = 7 + -3. Let f be (-112)/(-52) + (-8)/52. Suppose j - 3*i = 16, j = -f*i + o*i + 13. Does 7 divide j? True Suppose 0 = -3*y + 4*p + 26, -2*y + 4*p = -12 - 8. Suppose 70 = 4*b - y. Suppose 2*n - 4 = 3*o, -2*n = -3*o + 3*n - b. Is o even? True Suppose 2*c = -4*j, -2*j + c + 6 + 2 = 0. Suppose -j*o = -4*s + 268, -2*o + 238 = 3*s + 37. Let v = -44 + s. Is v a multiple of 10? False Is 7 a factor of ((-15)/2)/(6/(-12))? False Suppose v - 4 = -4*i + 19, -i + 4 = 0. Is v a multiple of 7? True Suppose -4*m + 0*m = -284. Let k = m + -23. Does 24 divide k? True Let s(o) = -o**3 + 8*o**2 - 8*o + 21. Does 5 divide s(6)? True Let q(a) = -a**3 - a + 41. Is q(0) a multiple of 19? False Let h(j) = -j**3 + 4*j**2 + 6*j - 2. Let t be h(5). Suppose -t*w = w - 104. Does 12 divide w? False Suppose -n + 4 = -0. Let y = n + -4. Suppose 4*a = h + 62, 5*a - h + 5*h - 88 = y. Is a a multiple of 16? True Let h(m) = -m**3 + 10*m**2 + 11*m - 14. Let p be h(11). Let s = p - -21. Is s a multiple of 4? False Suppose -11 = -4*b + 1. Suppose 2*k - b = 29. Is k a multiple of 5? False Suppose -q + 0 - 6 = 0. Does 10 divide (q/3 + 0)*-10? True Let s(f) = f**3 - 12*f**2 + 12*f - 13. Let h be s(11). Let p be (8/6)/(h/(-6)). Suppose p*b = -b + 25. Is 2 a factor of b? False Let g = 10 + 16. Let x = 74 - g. Is 16 a factor of x? True Let z(c) = c - 3. Let r be z(7). Suppose -3*d + 7*d - 2*o - 46 = 0, -4*o = -r*d + 48. Is 11 a factor of d? True Suppose -p - 5*c + 10 = 4*p, 0 = 3*p - 3*c - 6. Suppose -p*z + 58 - 8 = 0. Is z a multiple of 15? False Let g(d) = d + 7. Is 16 a factor of g(9)? True Suppose 8*m - 11*m = 0. Suppose -8*v + 3*v + 2*l + 65 = m, 0 = -v - 4*l + 35. Is v a multiple of 15? True Suppose 5*r - 71 = -326. Let y be 4/(-6) - r/9. Suppose -4*x = w - 76 + 15, -y*x + 45 = -5*w. Is 14 a factor of x? True Let y = 123 - 71. Let k = -25 + y. Is k a multiple of 6? False Suppose 3*i - 28 = 5*f, -3*f - 2 - 16 = -2*i. Let w(b) = -b + 8. Let j be w(i). Suppose -2*q = j*q - 80. Is q a multiple of 12? False Suppose -11*r + 1086 = -2258. Is 27 a factor of r? False Suppose 5*b - 4*a = -90, 3*b = a - 0*a - 54. Is 8 a factor of (-12)/5*60/b? True Let n be (330/(-9))/(2/(-6)). Suppose -w = -2*w + n. Let u = -69 + w. Does 14 divide u? False Let n = -24 + 60. Is 12 a factor of n? True Is 27 a factor of (-8)/(-16)*(0 - -266)? False Suppose 3*g + 33 = 4*g + j, -2*j - 74 = -3*g. Is g a multiple of 10? False Suppose n - 79 = -3*u - 0*n, u + 2*n = 18. Is 7 a factor of u? True Let j = 243 - 31. Is j a multiple of 13? False Suppose 7*y - 2*y - 159 = c, -4*y - 4*c + 132 = 0. Does 9 divide y? False Suppose 3*w - 2*i = 544 + 380, -321 = -w + 5*i. Is 34 a factor of w? True Let h(q) = -62*q**3 - q - 1. Is h(-1) a multiple of 15? False Suppose 6*w - t = 5*w + 3, -4*w = 4*t - 4. Suppose w = 3*u + 2*z, 4*z = -4*u - z - 2. Suppose 0 = -u*v + 5*l + 16, -2*v - l = -0*v - 4. Does 2 divide v? False Suppose 0*o + 8*o = 424. Does 6 divide o? False Suppose 2*q = 4, -3*n - 92 = -4*n - 2*q. Is 54 a factor of n? False Suppose 17*j - 19*j + 300 = 0. Does 15 divide j? True Is 14 a factor of 2*(5 + -6) + (18 - -1)? False Let f(w) = -2*w + 6. Let b = -49 - -33. Is f(b) a multiple of 9? False Does 21 divide 37 - (21/9 - 5/15)? False Let y be (-3)/((-6)/16) + 3. Suppose -2 = p - y. Suppose -4*h + 111 = -p. Is 13 a factor of h? False Suppose -x + 3 = 0, 3*t - 4*t + 36 = 5*x. Suppose -3*n + t = -0*n. Does 7 divide n? True Let m(y) = -y - 1 - 6 - 3 + 3*y. Is 6 a factor of m(8)? True Let n(k) = 0 + 19 + k**2 - 11 + 6*k. Let u = -3 + -3. Is n(u) a multiple of 4? True Let q(y) = -y**2 + y + 20. Let l be 4 + -1 - (-6)/(-2). Is 10 a factor of q(l)? True Let w be ((-3)/(-4))/((-2)/(-8)). Is 8 a factor of (w - -57)/2*1? False Let r(a) = a**3 + 5*a**2 - 10*a - 8. Suppose s - 6 = 2*s. Does 16 divide r(s)? True Suppose -4*d - d = -325. Is d a multiple of 13? True Suppose n + 22 = m, 0*m - 2*m = -n - 39. Suppose -5*u = m - 2, 2*u = 2*k - 50. Is k a multiple of 11? True Let c(l) = -l**2 - 6*l + 10. Let i be c(-7). Let s be (-1)/(i/(-12)*1). Is 2 a factor of s - 2 - (-2)/1? True Let y be (3/(-2))/((-1)/10). Does 5 divide 186/y - (-4)/(-10)? False Let x be (-156)/(-9)*3*-1. Suppose s + 99 = -2*s. Let p = s - x. Is 15 a factor of p? False Let r = 200 - 101. Is 13 a factor of r? False Let y(g) = -g**3 - 4*g**2 + 9*g + 36. Does 20 divide y(-8)? True Let o = 91 + -63. Is 7 a factor of o? True Suppose -76 - 84 = -2*m. Suppose 0 = -2*o + 3*j - 1, -j - 5 = -3*o + o. Suppose 0 = o*b - 6*b + m. Is b a multiple of 21? False Let a = -78 + 104. Is 13 a factor of a? True Let g = 8 - 3. Suppose -g*k + 0*n = n - 25, 0 = 2*n - 10. Let c(b) = 2*b**3 - 6*b**2 + 2*b + 2. Is c(k) a multiple of 14? True Let i(x) = 2*x**2 - 3*x + 5. Let p be i(4). Suppose p = o - 17. Does 14 divide o? True Suppose 18 = 2*b + b. Does 16 divide 18 - 0 - (b - 4)? True Let a(x) = -x**3 + 6. Let i be a(0). Let l = i + -3. Suppose 0 = 3*j - t - 14, -j - l*t = -2*j + 2. Is 3 a factor of j? False Suppose -g + 0 = -4. Suppose -g*v + 10 = 3*j + 2*j, 3*j + 3*v - 6 = 0. Suppose -y - 2*y + 97 = 4*t, -58 = -j*y + 4*t. Is y a multiple of 11? False Suppose 0 = 5*w + 58 + 102. Let a = -15 - w. Let t = a + -9. Is t a multiple of 4? True Suppose -4*b - 20 + 0 = 0, -2*l - b = -3. Suppose -l*p - p = -145. Suppose 0 = -3*c - 5*u + 8 + p, 3*u = 6. Is c a multiple of 8? False Suppose -t = -j - 94, 452 = 5*t + 3*j + j. Does 20 divide t? False Let k(m) = 4*m**2 + 3*m - 2. Let g be k(-3). Suppose -g = a - 3*l, -3*a - 2*l - 95 = -7*l. Let x = a - -61. Is 8 a factor of x? False Let v(o) = o - 4. Let h be v(6). Let i be (-3)/h*84/(-1). Is 7 a factor of (3/6)/(3/i)? True Let w = -1 + 0. Let p(u) = -u**2 - 6*u + 1. Let b be p(-5). Let s = b + w. Does 2 divide s? False Suppose -2*b + 2*s + 102 = 0, -3*b + 0*s - 4*s = -118. Does 34 divide b? False Does 11 divide 118 - (7 + -4 - 6)? True Is 42 - ((-24)/(-16))/(3/(-4)) a multiple of 22? True Let s = -55 + 85. Is s a multiple of 5? True Suppose 4*d = 5*d + 15. Is (d/(-12))/((-4)/(-128)) a multiple of 20? True Is 7/(-21) + (-314)/(-6) a multiple of 20? False Let c = 6 - 3. Suppose 0 = -c*a + m + 119, 4*a - 179 = 2*m - 17. Is 14 a factor of a? False Let j = -3 + -5. Let h be j + 2 + -5 + 6. Let a(m) = -7*m - 6. Does 11 divide a(h)? False Suppose 0*x = -x + 3. Suppose 0*k = -5*k - 2*h + 145, -4*k + 109 = x*h. Is 11 a factor of k? False Let t(z) = -24*z + 2. Let h be t(-6). Suppose -4*x - 50 = -h. Is x a multiple of 12? True Let m be (8/12)/(1/6). Suppose -5*v - m - 31 = 0. Let o = v - -18. Does 4 divide o? False Suppose 4*h = -4*t + 40, -2*h + 5 - 3 = 0. Is t a multiple of 2? False Let n = 14 + -46. Let c = 54 + n. Does 11 divide c? True Let l = 12 + -7. Suppose 0 = -l*j - 4*x + 3 + 11, 2*x = -5*j + 12. Suppose 10 = j*i - 2*p, 5*i + 35 = -5*p + 110. Does 10 divide i? True Let j(l) = l**2 - 2*l - 1. Let z be j(-1). Suppose f + z*d = 105, f - 16 = 3*d + 84. Does 26 divide f? False Let p be (-12)/(-5)*10/(-3). Does 18 divide 0 + (-4)/(p/126)? False Let f = -25 - -35. Suppose 0 = -4*a + f + 6. Suppose -5*n - 72 = -a*s - n, 3*s - 4*n - 50 = 0. Does 19 divide s? False Suppose -2*i = 5*p - 4*i - 10, -4*i - 4 = -2*p. Suppose 0 = 3*b + p*b - 25. Is b a multiple of 3? False Suppose 5*l - 116 = -4*j, 3*j - 2*l - 13 = 51. Is j a multiple of 24? True Let x = -7 + 11. Suppose 0 = 2*s - 38 - x. Is 7 a factor of s? True Suppose -3*k - 217 = 164. Let z = -77 - k. Is 17 a factor of z? False Let w = -17 - -61. Is w a multiple of 33? False Let x be 278/(-6) - 2/3. Let r(v) = -v**2 - 4*v - 4. Let z be r(-7). Let q = z - x. Is q a multiple of 11? True Let y = 948 - 660. Suppose 4*g = -0*g + y. Is g a multiple of 25? False Suppose -4*k + 3 - 23 = 0. Let g = k - -23. Does 18 divide g? True Suppose -55 = -2*y - 1. Is 13 a factor of y? False Suppose -m + 100 = -30. Is m a multiple of 13? True Is 11 a factor of (-2
{ "pile_set_name": "DM Mathematics" }
is the biggest value? (a) o (b) z (c) d c Let x(t) = t + 2. Let r be x(-5). Let l = -4 - r. Let s be -1 - (1 + (l - 1)). Which is the biggest value? (a) -2 (b) 4/3 (c) s b Let i = -6.8 + 6.8. Which is the second biggest value? (a) i (b) -2/13 (c) 0.02 (d) -0.4 a Let x be 2/10 + 6/(-15). Let n = -268 - -269. What is the fourth biggest value in -3, x, n, 0? -3 Let t(i) = -3*i + 17. Let l be t(6). Let p be 40/(-60)*(l/2 - -2). Which is the smallest value? (a) 0.5 (b) p (c) -0.01 b Let f = -175 + 179. Which is the third smallest value? (a) 2/3 (b) f (c) -2/7 b Let p = -639 - -642. What is the third smallest value in p, -1, -4, -2/7? -2/7 Let j = -168 + 1347/8. Suppose 6 = -4*a + 66. Let o be ((-15)/6 + 1)*(-10)/a. What is the smallest value in -2/23, o, j? -2/23 Let x = -68.9 + 72.9. Let n = 8 + -7. What is the third biggest value in x, n, -0.5? -0.5 Let j = 78 - 20. Let f = j + -44.5. Let a = 14 - f. What is the biggest value in -5, -3, a? a Let b be 6/(-18)*(-9)/21. Let v = 97 + -1453/15. What is the fourth biggest value in b, 0, 3, v? 0 Let i(y) = 2*y**2 + 14*y - 9. Let w be i(-7). Let z be w/4 - 30/40. What is the second biggest value in z, -2/37, 1? -2/37 Let x be (2/(-6))/(1/(-9)). Let k = 10029.8 + -10030. What is the biggest value in 0.07, 4, x, k? 4 Let j = -116 + 121. What is the second biggest value in 1, j, 2? 2 Let u = -0.956 + 0.962. Which is the fourth biggest value? (a) 3/2 (b) u (c) 2/3 (d) 0.1 b Let d = 0.06 + -0.36. Let l = -4.1374 - -0.1374. Which is the second biggest value? (a) 4 (b) l (c) d c Suppose -10*w = -12*w + 2. Let d = 20/143 + 6/143. Which is the second biggest value? (a) d (b) w (c) 0.5 c Let t = 29 + -24. Which is the third smallest value? (a) 2 (b) t (c) -2/3 (d) -3 a Let f be (-3 + 28571/9525)/((-65)/12195). Let b = f - -2/1651. What is the second biggest value in b, 2/7, -1/8? b Suppose 0*r - 11 = r. Let u = -5 - r. Suppose 0 = 3*y - 0 - u. Which is the smallest value? (a) y (b) 0.3 (c) 0.7 b Let g be (15/75)/(76/(-10)). Which is the third smallest value? (a) g (b) -3 (c) -0.2 a Let b be (11/(-44))/(6/(-8)). What is the second biggest value in -12/11, b, 0.4, 4? 0.4 Suppose 0 = 6*s - 165 + 21. Let n be s/18*1/8. What is the second smallest value in -5, n, 1? n Let d = 1779 + -1782. What is the second smallest value in 29, 2/5, d, 0.2? 0.2 Let h = 168 - 173. Which is the biggest value? (a) h (b) 12 (c) -0.4 (d) 3/7 b Let u = -1.59 + 1.59. What is the biggest value in 4, -101, u? 4 Suppose -10*m + 13 = -7. What is the third biggest value in m, 1, 10/9? 1 Let b be (-14)/(-6) - 26/(-39). Let s be b - -1 - (0 + -6). Let w be (s/25)/(10/25). What is the second biggest value in w, -1/6, -2/5? -1/6 Let m be 1/2*7/2. Let o = -59/36 + m. Let x be ((-3)/(-27))/(3/12). Which is the third biggest value? (a) o (b) x (c) -4/7 c Suppose -93 + 0 = -o. Let x be o/30 + 2/5. What is the biggest value in 0.3, x, 0.2? x Let o = 18 + -25. Let x = -8 - o. Let j be (2/3)/(4/9). What is the second biggest value in 0.2, j, x? 0.2 Suppose -43*p - 105 = -46*p. Suppose 5*a - p + 10 = 0. What is the fourth smallest value in -0.2, -7/3, a, -5? a Let v = 6.58 + -6.48. Which is the fourth biggest value? (a) 1/4 (b) -0.5 (c) v (d) -0.04 b Let o = 40.74 - -0.26. Let w = -37 + o. What is the smallest value in w, -5, 4/7, 5? -5 Let d = 25 + -25.25. Let i = -0.15 - 2.1. Let j = i - d. Which is the biggest value? (a) 0.1 (b) j (c) -1 a Let z(x) = -x**3 + 5*x**2 - 5*x + 1. Let l be z(3). Which is the biggest value? (a) l (b) -5 (c) 0.08 a Let f = -0.05 + 0.17. Let v = -0.28 - f. Let x = 5.7 + -0.7. Which is the biggest value? (a) v (b) x (c) -2 b Let n = -155.1 - -155. Which is the fourth smallest value? (a) n (b) 56 (c) 1/10 (d) -1/2 b Suppose 23*i - 25*i = -6, 2*k - 3*i = 1. Which is the second biggest value? (a) -0.2 (b) 3.2 (c) k b Let t = -28.2 + 13.5. Let s = 14.2 + t. Which is the third biggest value? (a) -2/5 (b) 2 (c) s (d) 6 a Suppose -4*s - 5*q - 19 - 3 = 0, -s - 5*q = 13. Let r be (26/(-4))/(-1)*2. Let z = -8 + r. Which is the smallest value? (a) -1/3 (b) z (c) s c Let n = 40.31 + -40.31. Let g = 7 + -1. Let l = g - 5.6. What is the biggest value in -5, n, l? l Let g = -20/69 + 22/23. What is the third biggest value in -5, g, -4? -5 Let b = 5.3 + -6. Let m = -1 - b. Let d be -1 - -2 - 3 - (13 - 16). What is the smallest value in 0.4, m, d? m Let v = 3 + -2. Let h = 1708 + -1710. What is the second biggest value in -4/5, 0.2, h, v? 0.2 Let p = -0.51 - -0.59. Which is the second smallest value? (a) -2 (b) -0.5 (c) p (d) 0 b Suppose h = -y - 2*h + 2, 0 = -y - 5*h + 2. Let l be y/4 - 140/(-40). What is the third smallest value in 3, l, -0.1? l Let f = 4.1 + -23.1. Let t = 18.85 + f. Let z = 4.85 - t. Which is the biggest value? (a) z (b) -0.3 (c) -0.06 a Let h = -19 - -22. Let g = 0.059 - -1.941. Which is the third smallest value? (a) 0.1 (b) h (c) g (d) 1/9 c Let h = -68 - -64. Let t = 1142/15 + -76. Which is the second smallest value? (a) -1/2 (b) t (c) h (d) 7/2 a Let o be 0/(0 - 3) + 20/(-130). Which is the third biggest value? (a) o (b) 1/5 (c) -0.11 a Let m = 616.7 + -617. What is the third smallest value in -0.5, m, 2/3? 2/3 Let t = 2169.3 - 2169. Which is the second biggest value? (a) t (b) 3/7 (c) 26 b Let y = 364 + -361. Which is the biggest value? (a) -0.5 (b) 0 (c) y (d) -0.4 c Let y = 177/2 - 88. Let n = -12 + 17. What is the second smallest value in n, y, 13? n Let v = 0.35 - 4.35. Let i = -6.16 - 0.84. Which is the biggest value? (a) 0.1 (b) v (c) i a Let k = 6/293 - -281/586. What is the second biggest value in -2, 46, -2/5, k? k Let o = 18 + -9. Suppose -12*z = -o*z. Which is the third biggest value? (a) 2 (b) z (c) -2/7 (d) -3 c Let x = -0.36 - -5.36. Let r = 1.98 + -2. Let l = r - 0.38. What is the third biggest value in l, 1/4, x? l Let u = 16 - 11. Let t = 128.6 - 129. Which is the second biggest value? (a) 3/5 (b) u (c) t a Let u = 1.07 + -0.07. Let w = 65 + -16. Suppose 0 = -2*j - 0*f + f + 26, 3*j = 4*f + w. Which is the smallest value? (a) j (b) u (c) 3/2 b Let u = 12.68 + 0.32. Let y = u - 8. Let v = -7 + 7.1. Which is the second smallest value? (a) v (b) 4 (c) y b Let h = -7.02 + 7. Let u = -0.68 + h. Let m = 1.2 + u. Which is the second smallest value? (a) m (b) 4 (c) -0.5 a Suppose 3*y - 4*y = 0. Let h be y - (4/(-7))/2. Let n(f) = -f**3 - 4*f**2 + 31*f + 133. Let g be n(-5). What is the third smallest value in h, g, -4? g Let s = -93/92 - -6/23. Let d = 74.695 + -77.7. Let n = -0.005 - d. What is the third biggest value in 0, n, s? s Let m = 310 - 309.8. What is the smallest value in 368, -0.2, m? -0.2 Let i be (-1)/6*(-4)/3. Let c be (1 - 2)/(3/(-12)). Let b be c/18 - (-94)/(-18). What is the second biggest value in i, -4/5, b? -4/5 Let l = -3.232 - 0.768. Let h = 2 - 4. Which is the third smallest value? (a) h (b) l (c) 4 c Let n(t) = -t**3 + 6*t**2 - 2*t - 10. Let x be n(5). Let k = x - 3. Which is the biggest value? (a) -0.3 (b) -1/4 (c) -2/11 (d) k d Let w = -0.23 - -0.23. Let y = 2/7 + 23/42. What is the third smallest value in w, y, 0.1? y Let j(q) = 3*q**3 + 4*q + 3. Let m be j(-1). Let n = -10 - -13. What is the smallest value in n, m, 5? m Let v = 310.47 + -308. Let r = v + -0.47. Which is the smallest value? (a) 1 (b) r (c) 0 (d) 0.05 c Let z be 5/(-35) - (-27)/91. Which is the second biggest value? (a) 1/4 (b) z (c) 1 (d) 0.5 d Let z = -2929.99 - -2930. Which is the second smallest value? (a) 2 (b) z (c) 0.2 c Let x = -66.4 + 75. Let m = x + -9. Which is the second smallest value? (a) 0.059 (b) 3 (c) m a Let f = 1240 - 1240.5. Let y = -2 - -2.5. What is the second biggest value in 5, y, f? y Let o = -13.61 + 13.58. Which is the second smallest value? (a) 4 (b) o (c) -2/23 b Let h = -0.365 + 0.485. Let j = 1 - 0.5. What is the second smallest value in -0.3, j, h? h Let p = 1 + 10. What is the third smallest value in 0.3, p, 2? p Let z = -19.07 - -19.3. Which is the biggest value? (a) -1/6 (b) 3 (c) -2 (d) z b Let g be (-5)/15*2*(-3)/5. Let m = 9.5 + -9. Which is the third biggest value? (a) g (b) 0.09 (c) m b Let l = -1237 + 1237.3. Which is the third smal
{ "pile_set_name": "DM Mathematics" }
*2 + 66*a - 981. Let b be y(26). What is the greatest common divisor of b and 16048? 59 Suppose 0 = -5*w + 7 + 208. Let v = 83 + w. Suppose 13*o = 11*o + v. What is the greatest common divisor of 21 and o? 21 Let i be -1*3 + (17/1 - 4). Let x be -6*2/4*9. Let t = x + 52. Calculate the highest common divisor of t and i. 5 Let g be 1 + ((-1)/(-2) - 2323/(-202)). What is the highest common divisor of 10907 and g? 13 Let p = -8463 - -8487. Calculate the highest common factor of p and 4720. 8 Suppose 0 = -3*p - 9, -5*o - 5*p + 22422 + 10623 = 0. Calculate the greatest common factor of o and 29. 29 Let c(z) = z**3 + 3*z**2 - 16*z + 7. Let x be c(-6). Let a(t) = -5*t**3 - 6*t**2 + 2*t - 17. Let q be a(x). Calculate the highest common divisor of 56 and q. 56 Suppose -4*i - 2*k = -6*k - 76, 2*k - 38 = -2*i. Let c be (7*9)/1 + 0. Suppose 13 = t - c. What is the highest common divisor of i and t? 19 Suppose 6*a = 15*a - 63. Suppose -a - 2 = -3*m. Suppose 17 = m*c + 2. Calculate the greatest common divisor of c and 40. 5 Suppose 12 = a + x - 12, 2*a = -x + 43. Let j be (-2)/(-1*(0 + 4/(-58))). Let f(n) = -12*n - 139. Let i be f(j). What is the highest common factor of i and a? 19 Let z be (-4)/(-30) - (-602)/210. Suppose -z*x = -4*n + 986, -5 + 1 = 2*x. What is the highest common factor of 35 and n? 35 Suppose 5*r + 4 - 14 = 0. Suppose 42 = -p + r*p. Let j(k) = 2*k**3 + 34*k**2 - 280*k - 71. Let z be j(-23). Calculate the greatest common divisor of z and p. 21 Let p = -58368 + 58384. Let c = -127 - -247. Calculate the greatest common factor of p and c. 8 Let w be (-4)/(-18) - 0 - 99*1066/(-3321). Calculate the greatest common factor of 1604 and w. 4 Suppose -39*v - 9*v + 32588 = -611812. What is the highest common factor of 75 and v? 75 Suppose 24*u = -42*u + 445500. Calculate the highest common divisor of u and 135. 135 Let r be (-2)/30 - (1280272/(-210))/23. What is the highest common divisor of 15 and r? 5 Suppose -z + 5*m + 16710 = 0, -4*z + 76*m = 75*m - 66745. What is the greatest common factor of 5 and z? 5 Let a(s) = -2*s**3 + 120*s - 13. Let n be a(-8). Calculate the highest common divisor of 4029 and n. 51 Let g = -917 - -3279. What is the greatest common factor of g and 2? 2 Let u = -50 + 149. Suppose u - 95 = 2*g. Calculate the highest common divisor of g and 14. 2 Suppose 2*m - b - 23058 = -3*b, 0 = -6*m - b + 69159. What is the highest common factor of m and 306? 102 Let j = 149 - 149. Let b(h) = -h**3 + 2*h**2 + 20. Let m be b(j). What is the greatest common factor of m and 20? 20 Suppose -97 - 923 = -54*o - 14*o. Suppose -4*w - 32 = -2*v, -w = 3*v - 3*w - 40. Calculate the highest common factor of v and o. 3 Suppose w = -0*w - 2*d - 5, 0 = d - 3. Let z = 47 + w. Let l(f) = -f**3 + 2*f**2 + 39*f - 16. Let j be l(7). Calculate the greatest common factor of z and j. 12 Let d(w) = -w**3 - 23*w**2 + 34*w + 57. Let t(r) = 1. Let y(j) = d(j) + 5*t(j). Let c be y(-25). What is the greatest common factor of c and 42? 42 Suppose 10*h - 39*h + 55476 = -6*h. Calculate the highest common factor of 670 and h. 134 Let f be (2*7)/((-3)/(-6)). Let d be (4 - 2670/675) + 362848/720. Calculate the greatest common factor of d and f. 28 Suppose 6*p - 3*p = 15, -4*p = -s + 36. Let l be 0 + 0 - -46 - s/(-14). Calculate the greatest common factor of l and 500. 50 Let p = -13811 + 13980. What is the highest common factor of 143 and p? 13 Let d be 4464/90 + 6/15. Let l = -675 - -1000. What is the highest common factor of d and l? 25 Let a = -7815 - -8011. Calculate the greatest common factor of 26 and a. 2 Let y(w) = -w**2 + 43*w - 46. Let j be y(43). Suppose 56 = -4*o - 8. Let p = o - j. Calculate the greatest common factor of 6 and p. 6 Let t be ((-32)/(-12) - 2)*-12. Let x be t/(1 + 206/(-210)). Let v be (x/(-25))/((-6)/(-45)). What is the highest common divisor of 14 and v? 14 Suppose -63*k = 4*q - 65*k - 39678, -q = -4*k - 9916. Calculate the highest common factor of q and 160. 160 Suppose 5*q - 7*q - c = -11, 3*q = -3*c + 9. Suppose -114 = -4*g + 14. Calculate the greatest common factor of g and q. 8 Suppose -89*n - 7154 = 52*n - 55658. What is the highest common factor of n and 2193? 43 Let s(r) = -40*r**2 - 687*r + 6. Let w be s(-17). Let a = -87 - -137. Calculate the highest common divisor of w and a. 25 Let a = -39 + 43. Suppose -g + p = -p - 214, 404 = 2*g + a*p. Let q = -9 - -35. Calculate the highest common divisor of q and g. 26 Suppose 66*o - 27711 + 14857 = 55060. Calculate the greatest common factor of 15 and o. 3 Let h(d) = -3*d**3 + d**2 + 8*d - 31. Let i(b) = -b**2 + b - 2. Let z(n) = -h(n) + 4*i(n). Let j be z(4). What is the highest common factor of 68 and j? 17 Let n(v) = -426*v - 648. Let z be n(-4). What is the highest common divisor of 99 and z? 33 Suppose -2 = -3*w + 208. Suppose -6*f - w = -8*f. Suppose -253 + 5 = -z - a, 0 = -z + 3*a + 236. Calculate the highest common divisor of f and z. 35 Suppose -20*u = -15*u + 35, -3*u = 4*y - 119. Calculate the highest common factor of y and 21875. 35 Suppose 33*l - 38*l = -10. Let k(y) = 11*y + 0*y + l - 14*y. Let i be k(-1). What is the highest common divisor of 10 and i? 5 Suppose 5*c - 39 = -24, 2*i - 3*c = 10007. What is the greatest common divisor of 32 and i? 16 Let y be -7 - ((-356)/(-7))/(72/(-252)). Calculate the highest common divisor of 133 and y. 19 Let i(u) be the second derivative of 1/2*u**3 + 1/6*u**4 + 0 + 1/2*u**2 + 12*u. Let r be i(-3). What is the highest common factor of 5 and r? 5 Suppose 2*c - 208 = -2*c. Let p be 110*(-16)/100*((-19305)/(-22))/(-27). What is the highest common factor of p and c? 52 Let s(m) = -6*m + 230. Let v be s(-1). Calculate the highest common divisor of 5782 and v. 118 Suppose 0 = 48*l + 7*l - 2750. What is the highest common factor of 2950 and l? 50 Let l(y) = 10*y - 233. Let p be l(35). What is the highest common factor of 13 and p? 13 Let r(x) = x**3 - 77*x**2 + x + 1059. Let k be r(77). What is the highest common factor of k and 128? 16 Suppose -8*b + 26 = -54. Suppose -5*m = -b*m + 55. Suppose 0 = i + m - 20. Calculate the greatest common divisor of 63 and i. 9 Suppose -229 = -40*z - 29. Suppose -z*o = -4*b - 520, -4*o + 425 = b - 6*b. Let x be 19 + (2/2)/1. What is the highest common factor of o and x? 20 Let j be (0 - -1)/((-1)/(-5)). Suppose 45*f - 29 + 69 - 265 = 0. Calculate the greatest common factor of j and f. 5 Let i(s) = -s**2 - 2*s + 18. Let k be i(-5). Let w be k/(-1) + 1 + -1 + 18. What is the highest common divisor of 435 and w? 15 Let r be (-14)/(3150/(-87093)) - (-6)/(-75). Calculate the highest common divisor of 36 and r. 9 Let r be 233/(-3) - (-2)/(-6). Let g = -51 - r. Suppose 1093 = 72*l + 81*l - 1748 - 8175. Calculate the highest common divisor of l and g. 9 Suppose 0 = 3*d - 8*d + 330. Let z be 125 + -4 - (3 - 14). What is the highest common factor of d and z? 66 Let p = 67 + -40. Let i = -160 - -217. Let u = i + -30. Calculate the greatest common factor of p and u. 27 Suppose 2*j + 18 = 5*x, 4*j - 12 = -94*x + 96*x. Let d(s) = -s + 10. Let w be d(9). Let f be 21*(3/(-21) + w). What is the highest common divisor of x and f? 6 Let u be 60*(15/6 - 2). Suppose 113*z - 110*z - 15 = 0. Suppose z*t - 3*h = 669, 0*h = t + h - 137. Calculate the highest common factor of t and u. 15 Let x(t) = -12*t**3 - 4*t**2 - 3*t - 2. Let s be x(-2). Let h = 661177 + -660988. Calculate the greatest common divisor of s and h. 21 Let j(n) = -n + 2472. Let b be j(-61). What is the greatest common factor of b and 68? 17 Suppose 0 = 4*g - 16, -50*s - 3*g = -55*s + 3648. Calculate the greatest common factor of 2379 and s. 183 Let h(r) = 41*r - 943. Let m be h(26). What is the highest common factor of m and 3? 3 Suppose 6*a = 23*a - 187. Suppose 937 - 387 = 2*d. What is the highest common divisor of a and d? 11 Let j(v) = 200*v + 1008. Let m be j(-5). Calculate the highest common divisor of m and 6472. 8 Suppose -8 = -4*t + 4*f, -2*t + 17 = 2*f + 5. Let l = -5 + 10. Let j be (l*12/80)/(1/t). Calculate the greatest common factor of j and 3. 3 Suppose 0 = 9*y + 261 - 1053. What is the greatest common factor of y and 1276? 44 Suppose x = 2*u + 775, -4*x + 195 = 4*u - 2953. Suppose -3*d + 4*d + 2*i - 23 = 0, -5*i = 5*d - 125. What is the highest common
{ "pile_set_name": "DM Mathematics" }
d without replacement from {i: 4, m: 1, e: 9}. Give prob of picking 1 i and 1 e. 36/91 Two letters picked without replacement from pnddnr. Give prob of picking 1 r and 1 d. 2/15 Three letters picked without replacement from ohhajasshsjajhshhh. Give prob of picking 1 h and 2 s. 7/136 Calculate prob of picking 3 f and 1 l when four letters picked without replacement from fpqppxlplffplxfff. 3/119 Calculate prob of picking 4 t when four letters picked without replacement from {t: 8, p: 3}. 7/33 Three letters picked without replacement from aoaaauoxaauxfuo. What is prob of picking 1 u and 2 a? 9/91 What is prob of picking 2 t when two letters picked without replacement from {v: 6, x: 2, t: 4}? 1/11 What is prob of picking 1 m, 1 c, and 1 z when three letters picked without replacement from {z: 2, k: 2, c: 1, m: 1}? 1/10 What is prob of picking 2 i when two letters picked without replacement from {q: 4, i: 2}? 1/15 Two letters picked without replacement from piiuplnr. What is prob of picking 1 l and 1 p? 1/14 Calculate prob of picking 3 j when three letters picked without replacement from pppnnnjpnpjpnjn. 1/455 Two letters picked without replacement from ccqq. Give prob of picking 1 c and 1 q. 2/3 Four letters picked without replacement from {h: 2, x: 1, w: 7, a: 1, p: 5}. Give prob of picking 2 p and 2 h. 1/182 Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {c: 5, j: 7, b: 1, e: 6}. 35/171 Three letters picked without replacement from xnnnxnxnnxn. Give prob of picking 3 n. 7/33 Two letters picked without replacement from {b: 2, a: 1}. Give prob of picking 2 b. 1/3 What is prob of picking 4 l when four letters picked without replacement from lleelollolleelle? 9/130 What is prob of picking 2 u, 1 a, and 1 q when four letters picked without replacement from {a: 2, u: 9, q: 5}? 18/91 Calculate prob of picking 2 j and 2 v when four letters picked without replacement from {v: 10, j: 2}. 1/11 What is prob of picking 2 a and 1 e when three letters picked without replacement from aheaaaaaaehaee? 4/13 Calculate prob of picking 2 z when two letters picked without replacement from uurkuzrrrukuzzrruur. 1/57 Two letters picked without replacement from ysysyssxyxryxy. What is prob of picking 1 y and 1 r? 6/91 Three letters picked without replacement from zzzziibzzbzbizbszzz. Give prob of picking 2 b and 1 s. 2/323 Two letters picked without replacement from lsqlklyeklkyelllkyee. Give prob of picking 1 e and 1 y. 6/95 What is prob of picking 1 c and 1 w when two letters picked without replacement from gwwcvvdccvcccdvv? 1/10 Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {n: 2, q: 1}. 2/3 What is prob of picking 1 k and 1 g when two letters picked without replacement from {m: 1, g: 1, i: 3, k: 2}? 2/21 Three letters picked without replacement from lllllllll. Give prob of picking 3 l. 1 What is prob of picking 1 t, 1 x, and 2 o when four letters picked without replacement from {k: 7, t: 3, o: 2, x: 1, j: 1, c: 3}? 3/2380 What is prob of picking 2 u when two letters picked without replacement from uuuquzuuuumuzuquuum? 26/57 Calculate prob of picking 1 n, 1 o, and 1 y when three letters picked without replacement from bnngyboebyngnnbgbny. 6/323 Four letters picked without replacement from isgggsiii. What is prob of picking 1 s, 2 g, and 1 i? 4/21 Two letters picked without replacement from ooxibxoobooboqiqb. Give prob of picking 1 q and 1 x. 1/34 Calculate prob of picking 1 f and 3 a when four letters picked without replacement from ffaaaa. 8/15 What is prob of picking 2 k when two letters picked without replacement from kkh? 1/3 Three letters picked without replacement from iiiipip. What is prob of picking 1 i and 2 p? 1/7 What is prob of picking 1 h and 1 n when two letters picked without replacement from {f: 2, h: 6, n: 3, b: 1}? 3/11 What is prob of picking 4 t when four letters picked without replacement from {d: 7, t: 4}? 1/330 Calculate prob of picking 2 o when two letters picked without replacement from oooooooooo. 1 What is prob of picking 2 x when two letters picked without replacement from {u: 1, c: 1, x: 2, z: 1, o: 1, d: 1}? 1/21 Two letters picked without replacement from uruuuuuuur. What is prob of picking 2 r? 1/45 What is prob of picking 2 g and 1 w when three letters picked without replacement from {g: 7, w: 4}? 28/55 What is prob of picking 2 g when two letters picked without replacement from hrgg? 1/6 Three letters picked without replacement from {f: 6, v: 13}. What is prob of picking 2 v and 1 f? 156/323 What is prob of picking 3 l when three letters picked without replacement from lllllllllltlllllll? 5/6 What is prob of picking 1 x, 1 m, and 2 f when four letters picked without replacement from {x: 1, j: 1, f: 3, a: 3, m: 2}? 1/35 Four letters picked without replacement from xttxxxzowwxtoxwxt. What is prob of picking 1 o, 2 t, and 1 x? 3/85 What is prob of picking 1 w, 1 a, and 1 p when three letters picked without replacement from {w: 2, p: 5, a: 3}? 1/4 Three letters picked without replacement from {g: 2, j: 6, d: 1, i: 2}. What is prob of picking 1 d and 2 j? 1/11 Four letters picked without replacement from jjkjjjjkjjjj. What is prob of picking 4 j? 14/33 Calculate prob of picking 1 u and 2 q when three letters picked without replacement from {q: 1, u: 2}. 0 Calculate prob of picking 2 e when two letters picked without replacement from {e: 5, q: 3}. 5/14 Two letters picked without replacement from {v: 2, a: 1, w: 4, s: 1, g: 2, u: 2}. Give prob of picking 1 a and 1 g. 1/33 Four letters picked without replacement from bbbbbbbbbb. Give prob of picking 4 b. 1 Calculate prob of picking 1 t and 2 b when three letters picked without replacement from {o: 7, l: 8, t: 2, b: 2}. 2/969 Four letters picked without replacement from avaaaaaahavvhvaaaazz. Give prob of picking 1 h and 3 z. 0 Calculate prob of picking 2 c and 1 j when three letters picked without replacement from {j: 2, c: 2}. 1/2 What is prob of picking 1 w and 3 c when four letters picked without replacement from {c: 4, q: 1, b: 4, w: 1}? 2/105 Calculate prob of picking 1 o and 2 q when three letters picked without replacement from sttpqoqj. 1/56 Calculate prob of picking 3 i when three letters picked without replacement from ipiipiipiiiiiii. 44/91 Calculate prob of picking 2 c and 1 s when three letters picked without replacement from scwcccwcwscccwcscws. 60/323 Four letters picked without replacement from {t: 1, q: 3, v: 1, u: 3, a: 3}. Give prob of picking 1 q, 1 v, 1 a, and 1 u. 9/110 Four letters picked without replacement from shssdhhdhshsd. Give prob of picking 1 s, 2 d, and 1 h. 15/143 What is prob of picking 2 x when two letters picked without replacement from zefpxgx? 1/21 Three letters picked without replacement from kkvvgvggbgk. Give prob of picking 3 v. 1/165 Two letters picked without replacement from {t: 7, y: 6, z: 6, j: 1}. Give prob of picking 1 y and 1 z. 18/95 Calculate prob of picking 2 u when two letters picked without replacement from {c: 10, u: 2}. 1/66 Four letters picked without replacement from lddudtqdtddsddtddq. Give prob of picking 2 t, 1 d, and 1 u. 1/102 What is prob of picking 1 g, 1 u, and 1 a when three letters picked without replacement from {u: 2, g: 1, c: 1, a: 1}? 1/5 Three letters picked without replacement from hhhgiiihihhhiihiiihh. Give prob of picking 2 i and 1 g. 3/95 Four letters picked without replacement from {s: 2, i: 2, k: 6, h: 4, l: 3}. Give prob of picking 2 i and 2 h. 3/1190 What is prob of picking 1 j and 1 c when two letters picked without replacement from {j: 2, c: 2, o: 10, k: 1, p: 4}? 4/171 Calculate prob of picking 1 j, 2 r, and 1 m when four letters picked without replacement from hrhmrhmhhrmjj. 18/715 Calculate prob of picking 2 f when two letters picked without replacement from {t: 2, f: 3}. 3/10 Four letters picked without replacement from {b: 9, z: 7, r: 3}. Give prob of picking 2 b and 2 z. 63/323 Calculate prob of picking 2 m and 1 k when three letters picked without replacement from mmkxxmmkkm. 1/4 What is prob of picking 1 e and 2 x when three letters picked without replacement from eexkkxexee? 1/8 What is prob of picking 1 d and 2 w when
{ "pile_set_name": "DM Mathematics" }
00875390131 to six decimal places. -0.008754 What is -333.4548113 rounded to the nearest ten? -330 What is 0.000149324773 rounded to six decimal places? 0.000149 What is 0.0131072914 rounded to five decimal places? 0.01311 Round -7196255.17 to the nearest 10000. -7200000 What is -2.26566726 rounded to one decimal place? -2.3 What is -33.60365028 rounded to three decimal places? -33.604 What is 25893635.4 rounded to the nearest 1000? 25894000 What is 57.62411317 rounded to 2 decimal places? 57.62 Round -5019876270 to the nearest one hundred thousand. -5019900000 What is 17496.9099 rounded to the nearest integer? 17497 Round -35746.6145 to the nearest one hundred. -35700 What is 0.00088898723 rounded to six decimal places? 0.000889 What is 2218.9069 rounded to the nearest 100? 2200 Round -232313469.9 to the nearest one hundred thousand. -232300000 What is -0.19020032 rounded to four decimal places? -0.1902 Round 123866.527 to the nearest ten. 123870 Round 1244528317.5 to the nearest one hundred thousand. 1244500000 Round 0.000587853509 to seven dps. 0.0005879 Round 2155.34377 to one dp. 2155.3 Round 0.11450752 to 2 dps. 0.11 What is 0.04465953 rounded to two decimal places? 0.04 What is -6931987.327 rounded to the nearest 1000000? -7000000 What is -0.0001771550163 rounded to six dps? -0.000177 What is -17.71630859 rounded to zero dps? -18 Round -1217.3892 to the nearest one hundred. -1200 What is -27279.04486 rounded to the nearest one thousand? -27000 What is 0.00430710336 rounded to four dps? 0.0043 Round -22879.0059 to zero decimal places. -22879 What is -90.43924 rounded to 1 dp? -90.4 Round 6.20446282 to zero dps. 6 Round -0.0112583692 to four decimal places. -0.0113 What is -0.002451522822 rounded to four decimal places? -0.0025 What is -1053.366849 rounded to 0 dps? -1053 Round -22002015 to the nearest one thousand. -22002000 What is 0.00018679191 rounded to 7 dps? 0.0001868 What is -0.00067072337 rounded to 4 decimal places? -0.0007 Round 141.5473323 to one dp. 141.5 Round -18022.0556 to the nearest one thousand. -18000 What is -44462.47032 rounded to the nearest one thousand? -44000 What is 4071373.7 rounded to the nearest 10000? 4070000 Round -36.39273032 to two dps. -36.39 What is -45.52438079 rounded to 0 dps? -46 Round -253237321 to the nearest one hundred thousand. -253200000 Round -2944.3419 to the nearest 10. -2940 What is 426166.914 rounded to the nearest one hundred? 426200 Round 158.924461 to the nearest integer. 159 Round -7597041591 to the nearest 1000000. -7597000000 Round -476670087 to the nearest 1000000. -477000000 Round -123300852.4 to the nearest ten thousand. -123300000 Round -29816.2836 to 0 dps. -29816 Round 1.223397042 to 3 dps. 1.223 What is -187.100978 rounded to 0 decimal places? -187 What is -269588.97 rounded to the nearest one hundred? -269600 What is -0.0000547954455 rounded to 7 dps? -0.0000548 Round -28804608.78 to the nearest 10000. -28800000 Round 0.00057825791 to 5 decimal places. 0.00058 What is 6884.9418 rounded to the nearest 1000? 7000 What is 0.0001395028983 rounded to 6 dps? 0.00014 What is 4064986.4 rounded to the nearest one hundred thousand? 4100000 What is -12772573373 rounded to the nearest one million? -12773000000 Round -2616.5579 to the nearest 10. -2620 Round -4393.24594 to the nearest 100. -4400 What is -2853.3982 rounded to the nearest 100? -2900 Round 19.78285187 to 2 dps. 19.78 What is 10234512.7 rounded to the nearest one thousand? 10235000 What is 254162.99 rounded to the nearest one thousand? 254000 What is -0.0070500471 rounded to three dps? -0.007 Round -16397.346 to the nearest ten. -16400 Round -2544.61162 to one dp. -2544.6 What is 352.8799 rounded to the nearest one thousand? 0 Round 83958.5356 to the nearest one thousand. 84000 Round -0.051431429 to one decimal place. -0.1 Round 8.516472418 to 3 decimal places. 8.516 Round 38.04901518 to 3 dps. 38.049 Round 0.00030622649 to 7 decimal places. 0.0003062 Round -424725060 to the nearest 1000000. -425000000 What is 2.160293681 rounded to four decimal places? 2.1603 Round 12092626607 to the nearest one million. 12093000000 What is 0.0121116671 rounded to 5 dps? 0.01211 Round 0.18527619 to 5 decimal places. 0.18528 Round -251.685012 to one dp. -251.7 Round 0.003549750871 to five dps. 0.00355 What is -0.000013265007463 rounded to six dps? -0.000013 Round 0.7025141 to 3 dps. 0.703 Round 6254.032996 to the nearest one thousand. 6000 What is -207.272811 rounded to the nearest 100? -200 Round -0.0003734968898 to five dps. -0.00037 What is 21520.8683 rounded to the nearest one thousand? 22000 Round -0.00001200076641 to six decimal places. -0.000012 Round -0.00000314278129 to six dps. -0.000003 What is -4882.396342 rounded to the nearest integer? -4882 Round 102513.7382 to the nearest one thousand. 103000 Round 370447.7386 to the nearest 10000. 370000 What is 7803245050 rounded to the nearest one million? 7803000000 What is -492.7047 rounded to the nearest 100? -500 What is 485.972344 rounded to 2 dps? 485.97 Round 0.0008479799803 to five decimal places. 0.00085 What is -1284.56105 rounded to one decimal place? -1284.6 What is 32288837420 rounded to the nearest 1000000? 32289000000 What is -46.2456154 rounded to one decimal place? -46.2 Round 0.000001284827626 to seven dps. 0.0000013 What is 0.0000075660103 rounded to six decimal places? 0.000008 Round -14.46865 to one decimal place. -14.5 What is -0.0001324657316 rounded to seven decimal places? -0.0001325 Round -1546379028 to the nearest 100000. -1546400000 What is -116808086.9 rounded to the nearest 100000? -116800000 Round -122908.868 to the nearest 100. -122900 Round -6.9713908 to 3 dps. -6.971 Round -0.01995344236 to 4 dps. -0.02 Round 111089044.8 to the nearest 100000. 111100000 Round 0.0000185193715 to six dps. 0.000019 Round -13.77784664 to the nearest ten. -10 Round -3703.7552 to the nearest 10. -3700 What is -0.220448278 rounded to 3 decimal places? -0.22 Round -2.970867218 to zero decimal places. -3 What is 0.0000059560912 rounded to 7 decimal places? 0.000006 What is 230160.8804 rounded to the nearest 100? 230200 Round -385.11386 to the nearest one hundred. -400 Round -3514.616733 to 0 dps. -3515 Round -81681.9178 to the nearest one hundred. -81700 Round 0.155079267 to four decimal places. 0.1551 What is 0.03176126371 rounded to 5 dps? 0.03176 What is 9.0843305 rounded to the nearest 10? 10 What is -2.033167104 rounded to 2 dps? -2.03 Round 142946.5329 to the nearest ten thousand. 140000 Round -0.049218254 to five decimal places. -0.04922 What is -55748493 rounded to the nearest 10000? -55750000 Round -0.000021396908 to 7 dps. -0.0000214 Round -598.06463 to 1 decimal place. -598.1 Round 7.698494381 to 0 decimal places. 8 Round 1396371092 to the nearest one million. 1396000000 What is -0.000002794850805 rounded to seven decimal places? -0.0000028 What is -6925.2525 rounded to the nearest integer? -6925 Round 524.271301 to one dp. 524.3 What is 25738.60944 rounded to the nearest integer? 25739 What is 0.568852986 rounded to 2 dps? 0.57 What is 881.6625531 rounded to the nearest 100? 900 What is 479468.1 rounded to the nearest 10000? 480000 What is 36729722 rounded to the nearest ten thousand? 36730000 What is 6351.26757 rounded to the nearest ten? 6350 Round 0.00002269868495 to seven dps. 0.0000227 Round 0.16970125 to 2 decimal places. 0.17 Round 0.256665481 to 4 dps. 0.2567 What is -1633302300 rounded to the nearest 1000000? -1633000000 Round 0.00263085217 to seven dps. 0.0026309 What is -5784182634 rounded to the nearest 1000000? -5784000000 What is 0.00587185298 rounded to five dps? 0.00587 Round -0.00136754744 to five dps. -0.00137 Round 0.0586370373 to six decimal places. 0.058637 What is -239181.552 rounded to the nearest 10000? -240000 Round 6679707.861 to the nearest 1000. 6680000 Round -0.399425523 to 4 decimal places. -0.3994 Round 0.00668418911 to 7 dps. 0.0066842 Round 9319031400 to the nearest 1000000. 9319000000 Round 101913.4842 to the nearest 1000. 102000 Round 360309560 to the nearest one hundred thousand. 360300000 What is 340587202.8 rounded to the nearest 100000? 340600000 What is 0.000104758792 rounded to 4 decimal places? 0.0001 What is -0.00011544617
{ "pile_set_name": "DM Mathematics" }
0.5 What is the closest to -5 in -1, 3/7, 1, 0.02, 628.8, 1.1? -1 What is the nearest to -0.015 in 5, -2/3, 2919? -2/3 Which is the nearest to -0.05? (a) 6 (b) -591 (c) -1 (d) 0.22 (e) -2 d Which is the closest to 3? (a) -0.103 (b) -3 (c) 1 (d) -0.3 c What is the closest to 0.2 in -31, -1.9, -2/9, 3119? -2/9 What is the nearest to -1/3 in -15.11, -3/50, -1, 6/5? -3/50 What is the closest to -4 in -1432, 1/4, -0.2, 1/9, -0.06? -0.2 What is the nearest to 3/4 in 0.04, 454298, -2/7, 1/2? 1/2 Which is the closest to 1071? (a) -71 (b) 2 (c) 0.1 (d) 3/8 b What is the closest to -2 in -0.51, -2/11, -1586/3, -3, -0.4, 0.2? -3 What is the closest to 0 in 2/13, -2/5, 1, -4, 37495? 2/13 What is the nearest to 2/3 in -3, -0.5, 14141666? -0.5 Which is the nearest to 0? (a) -3/4 (b) -10 (c) -1165032 a Which is the nearest to 0.25? (a) 3/5 (b) -5 (c) -3/4 (d) 5 (e) -41.86 a What is the closest to -655 in 44, 3/4, 32, -4? -4 What is the closest to 4 in 1/7, -26.7, 640, -2? 1/7 Which is the closest to -1? (a) 556 (b) -0.133 (c) -28 (d) 1 b What is the nearest to 0.1 in 2342, 840, -6? -6 Which is the closest to 4.95? (a) 0.394 (b) -1/4 (c) 0.3 a What is the nearest to 2/3 in 21, 1, 9926, 0.1? 1 Which is the nearest to -3/14? (a) 0 (b) 53.6502 (c) 2/3 a Which is the nearest to 4? (a) -0.0772 (b) -2 (c) 1 (d) -0.5 c Which is the nearest to -1? (a) 19844 (b) -1.4 (c) -2 (d) -2/59 b Which is the closest to 2/15? (a) 0.08946 (b) 10 (c) 0.1 c What is the nearest to 5/3 in -0.5, -3, 20, 542? -0.5 What is the nearest to -7 in -16514, 0.084, 3, 2? 0.084 Which is the closest to 0.048? (a) -2/39 (b) 32 (c) -0.6 (d) 1/4 (e) 0.3 (f) -3 a Which is the closest to -995? (a) -2/25 (b) 31 (c) -3/169 a Which is the nearest to 1? (a) 42 (b) 442 (c) 12/35 c Which is the nearest to -0.2? (a) -70 (b) -0.04 (c) 0.4 (d) -346 b What is the nearest to -3 in -2.1, 29/13, -41? -2.1 What is the nearest to 4 in -0.2, -1, 4.96, -2? 4.96 What is the closest to 0.25 in -1/4, -3243, -3? -1/4 What is the closest to -0.2 in 5, 0, -5, -14, -33.22? 0 Which is the nearest to -0.5? (a) -319/3 (b) -122 (c) -3.6 (d) -0.1 (e) -3 d Which is the closest to -9? (a) -0.6 (b) -0.116 (c) 2 (d) 1/2 (e) 0.3 a What is the nearest to -6.391 in 0.3, -6, -10, -3/14? -6 What is the closest to -0.02 in -9, 826, -2/11, -1/20? -1/20 What is the closest to -0.1 in -23, 3.6, -1, -463.4, 5? -1 What is the nearest to -9.3 in -0.4, 22, 2/1355? -0.4 What is the nearest to 4 in -0.39, -16, -25, 2/5, 0.08, 0.3? 2/5 Which is the nearest to 19? (a) -0.3 (b) -3 (c) 2/60263 (d) 4/3 d What is the nearest to -0.49523 in -0.2, 0.3, -0.1? -0.2 Which is the nearest to -921? (a) 33 (b) 3/8 (c) 2 (d) -3/4 d What is the closest to 0.2 in -1, -29815, -40, -2/5? -2/5 What is the nearest to 0.1 in 27, -9/19, -0.09, -3, -2/1959? -2/1959 What is the nearest to -6 in 260, -2630, 5? 5 Which is the nearest to 0? (a) -104 (b) 0.5 (c) 0.09 (d) -3 (e) -5/4 (f) 233 c Which is the closest to -2/153? (a) -897.4 (b) -0.2 (c) 5 (d) 0.2 (e) -2 b Which is the closest to -0.1? (a) -9 (b) -20.3 (c) 17 (d) 0.4 (e) -5 (f) 2 d What is the nearest to -0.3 in 0.26, 10, -0.5103? -0.5103 What is the nearest to -35/6 in -4, 3/7, 2/17, 1.4, -0.3? -4 Which is the nearest to -3/5? (a) 1.5 (b) -116.3 (c) -1/34 (d) -3 (e) 2/21 c What is the closest to 287395 in -0.2, 1, 5, -2? 5 Which is the closest to 5806? (a) -2/11 (b) 1 (c) 0.3 (d) -4 (e) 4 e Which is the nearest to -0.8? (a) 5 (b) -89246 (c) -0.5 c What is the nearest to 7 in -93, 0, -4, -9/2? 0 Which is the nearest to 2? (a) 752 (b) -0.24 (c) 7 (d) 39 b What is the closest to -10154 in 4, -2/3, 0.011? -2/3 Which is the nearest to 889? (a) -0.5 (b) 14/9 (c) -4 (d) -3 (e) -1.6 b What is the nearest to 7/2 in 2/7, 98, -0.4, 3, 11? 3 Which is the closest to 287? (a) 70/3 (b) 3 (c) 0.5 a Which is the nearest to 15? (a) 4 (b) 135.9 (c) 1/2 (d) -0.172 a What is the closest to 1/5 in 1/11, -1, -1/54, 5, -15/4? 1/11 Which is the nearest to -0.15? (a) -1/7 (b) -10 (c) -0.5 (d) 1 (e) 0.3 (f) -3 a What is the nearest to -3/13006 in 5, -3, -1/3, -0.02, 2? -0.02 Which is the nearest to -1? (a) -52 (b) -2457 (c) -2051 a What is the closest to -84 in -2.3, 4, 2/37, -4? -4 Which is the closest to -0.29? (a) -2 (b) -71960 (c) -0.5 (d) -4 c Which is the closest to -2027230? (a) -5 (b) 4 (c) -3 a Which is the closest to -27? (a) 7 (b) -41 (c) -0.1 (d) 3 (e) 22 b What is the closest to -50/59 in -1/7, 1/2, -0.27, -17? -0.27 Which is the closest to -1? (a) 1.199 (b) 0.3296 (c) -5 b What is the closest to 5.7 in -12, 22, 2, -1? 2 Which is the closest to -6/7? (a) 3 (b) 0.3 (c) -3 (d) 1493 (e) 0.4 b Which is the closest to -294? (a) -7 (b) 0.04 (c) -2.432 a Which is the nearest to 0.1? (a) 5 (b) 12/13 (c) 30 (d) -20289 b Which is the closest to -20? (a) -1/4 (b) 20 (c) -3 (d) 0.4 (e) 4/7 (f) -3095 c What is the closest to -19915 in -1146, -3/4, -1? -1146 Which is the nearest to 7/5? (a) 0 (b) -2/3 (c) 3/2191 (d) 2/17 (e) 359 d What is the nearest to -8 in -4, -0.1154805, 3? -4 Which is the nearest to -1? (a) 0.1 (b) -1 (c) 16/29 (d) 5 (e) 1/3 b Which is the nearest to -4? (a) -20 (b) 0 (c) -1039 b Which is the nearest to 0? (a) -3786/7 (b) -1/471 (c) 2 (d) -3/7 b What is the nearest to 2 in 224, 2/7, -11, -1, -1/4, -4? 2/7 Which is the nearest to 4? (a) 0.4 (b) 0.3 (c) -110 (d) -3/104 a Which is the closest to -2/7? (a) 13 (b) 2/3 (c) 1/4 (d) 20 (e) -4/735 e What is the closest to 1 in -1723, -2/9, -7? -2/9 What is the closest to -1441 in -711, 1, 5/2? -711 Which is the closest to -11? (a) -9/7 (b) 1030 (c) 0 (d) -1.14 (e) -2/7 a What is the nearest to 1 in 3, 2/3, 0.2, 13, 18? 2/3 What is the nearest to 393 in 2, 737, 3? 737 What is the nearest to -0.3 in -3, -51/13, 3460, 1/2? 1/2 Which is the closest to 0.18? (a) -2/5 (b) -25858 (c) -2/9 (d) -8 c Which is the nearest to -0.1? (a) 153 (b) -6/5 (c) -1/6 (d) 32 (e) -0.03 (f) 3/8 c Which is the closest to 6? (a) 0.2 (b) -7 (c) -88 (d) 2/9 (e) -206 d Which is the nearest to 0.1? (a) 0.1 (b) 1/7 (c) -5 (d) 0.942722 a What is the closest to 2/3 in -611, 2/3, 3, 2/7, 1/47? 2/3 What is the nearest to -2 in 2/697, 68, 362, -1/2? -1/2 What is the nearest to -0.1 in 6, -1, -33405/8? -1 Which is the closest to -1? (a) -0.4 (b) -534 (c) 12.701 a Which is the nearest to 0.2? (a) 17 (b) -4156 (c) 1.49 c Which is the closest to 128? (a) -0.4 (b) 3/50 (c) -152 (d) 5 d Which is the closest to 0.9? (a) -5 (b) 785 (c) 45 (d) -7 a Which is the nearest to 3/5? (a) -5 (b) -0.3 (c) 0.78 (d) 104 (e) -3 c Which is the nearest to 74815? (a) 0.12 (b) 1/6 (c) -0.4 (d) -2/9 b Which is the closest to -82? (a) -5 (b) 3 (c) 2/7 (d) 69.74 a Which is the closest to -2/299? (a) -13 (b) 10/9 (c) -1 (d) 73 c Which is the nearest to -34? (a) -3 (b) -4 (c) 5 (d) 2930 b Which is the closest to 0.13? (a) -1/4 (b) -1.912 (c) -0.3 (d) -5 (e) 20 a Which is the closest to -2/3? (a) 72 (b) 5 (c) -93 b What is the nearest to -1/78 in 5, 0, 29, -27, 1? 0 What is the nearest to -3/82 in 1/5, -324, 0.4, 0.3? 1/5 Which is the closest to 2? (a) 3 (b) 0.2 (c) -1.9264 (d) -10 a Which is the closest to 0.1? (a) -1/24 (b) 0.02 (c) -0.057 (d) -0.3 (e) 2/31 (f) -51 e What is the nearest to -8 in 4, 2, -14, -68, -24, 0.4? -14 Which is the closest to 0.087? (a) -4 (b) -0.6 (c) 5 (d) -39112 b Which is the closest to -1/2? (a) -0.04 (b) -19.28 (c) 0.3 (d) -5 a What is the closest to 33466 in 3/5, 38, -5? 38 Which is the closest to -1/4? (a) 0.4 (b) -0.3 (c) 0.87 (d) -2/111 b What is the nearest to -1/91 in -0.01, -176, 1, -1/8? -0.01 Which is the closest to -1? (a) -99.102 (b) -58.8 (c) 1 c Which is the nearest to -0.9? (a) -1/4 (b) -3 (c) -0.2 (d) 1.61 (e) -0.5 e What is the closest to -2 in -0.28, -6, -0.684? -0.684 Which is the closest to -1/6? (a) 0.3 (b) -5 (c) 5/3 (d) -20/47 (e) -81 (f) -0.5 d Which is the closest to -864? (a) 0.002 (b) -0.23 (c) -0.9 (d) 1/2 (e) -0.2 (f) -2 f Which is the nearest to -2? (a) 0.06306 (b) 199 (c) 10 a What is t
{ "pile_set_name": "DM Mathematics" }
d - 2*i + 10, -3*i - k = -20 for d. 0 Suppose z + 4*d = -11, 3*d - 8*d - 5 = 0. Let q = -5 - z. Suppose o - 3*h + 9 = -2*o, -12 = -4*o - 4*h. Solve -10 = -q*v, -3*n + o*v - 2*v = -22 for n. 4 Let m(k) = -k**3 + 8*k**2 + 12*k - 5. Let v be m(9). Let t = -9 + v. Solve 3*b - 6 = 0, -4*f + 3 = 3*b + t for f. -4 Suppose 4*r = 6*r. Suppose -5*i + 0*i - 27 = -3*n, r = 2*n - 3*i - 17. Solve n*s = -5*b - 17, b - 2*b + 11 = -4*s for s. -3 Let w be 8 + (1 - (1 - 4)). Let c = w - -5. Solve 3*i - z + c = 0, -4 = i - 2*z + 5 for i. -5 Suppose h - 7 = -3*a + 2*h, -2*h = -5*a + 11. Solve 22 = -4*m - f, -a*m - 3*f + 14 - 35 = 0 for m. -5 Suppose 3*d - 9 = 0, 0*z - 5*z + 9 = 3*d. Solve z = -5*k - 3*c + 20, 3*k + 5*c - 20 + 8 = 0 for k. 4 Suppose 3*g - 1 = -d + 2, -d - g = -1. Suppose -4*y - y + 20 = d. Solve 4*i + 8 = 4*r, -4*i + y = -r - 0*i for r. 4 Let w = 28 + -24. Solve 4*b = 5*b - w*u - 6, b + 2*u = 0 for b. 2 Suppose 5*f - 26 = 14. Suppose -b - 5*d - 16 = 4, -3*b = 2*d + f. Solve b = 3*z - 3*a - 21, -z - 4*a - 13 = -0*z for z. 3 Let t = -2 - -3. Solve 0 = -d + t, -2*d + 2 = -c - 4*c for c. 0 Suppose 170 = 5*w + 5*w. Solve -2*v + w = 3*p, 8 = -v + 3*v for p. 3 Suppose t + 57 = 61. Solve w + w = 4*n - 14, -3*w = -n - t for w. 3 Let z be (2/(-4))/((-5)/50). Solve 3*x = -15, -5*m - 3*x = -0*x - z for m. 4 Let m(p) = -3*p**3 - p - 1. Let i be m(-1). Let t be ((-4)/i)/(1/(-6)). Solve -g + t = y, -3*g - 2*g = y - 28 for y. 3 Let p = 4 + -9. Let q = p + 8. Solve -q*u + 20 = 4*l, 2*u - u + 10 = 2*l for l. 5 Let b = 18 - 16. Solve b*x + 5*d + 20 = 3*x, d + 4 = -3*x for x. 0 Let v = 7 - 5. Suppose 4*d = 0, -23 = -4*a + 4*d - 7. Let l be (4/3)/(a/6). Solve 3*o + 1 = h + l, -v*o = -4*h - 4 for o. 0 Let j be -1*2 + 8 + 0. Let p be (j/(-4))/((-1)/2). Solve -1 = k + p*w, 3*k + 3 = 5*w + 14 for k. 2 Let n be 1/((1/(-2))/(-1)). Solve 0 = -n*t + 2*f - 17 + 7, -3 = -f for t. -2 Suppose -2*y - 6 = -5*y. Suppose 4*f = 2*x - 4*x + 12, 2 = -y*f - 5*x. Solve m + 3*a + 1 = -0*m, 2*a + 24 = f*m for m. 5 Let y = -32 - -67. Solve -5*j + 5*z - y = 0, -2*j = -z + 6*z for j. -5 Let s(a) = a**3 - 9*a**2 - a + 11. Let c be s(9). Suppose c*r - 5 = 11. Solve -i = 3*i - r, 5*p + 5*i - 30 = 0 for p. 4 Let n(q) = -2*q. Let a be n(-1). Solve 0 = -h + 2*y + 7, 4*y = h - 19 + a for h. -3 Let o be (-1)/(1/(-3)) + 2. Let j be (-1 + o + -2)/(-2). Let c be j/(-3) + (-10)/(-15). Solve 3*m - 3 = s - 0*m, -4*s + m = c for s. 0 Let i(z) = 3*z**2 - z**2 + 4*z**2 - 5*z**2 + 12 + 3*z. Let c be i(-7). Solve -j + 5 = 0, c = -4*a - 0*a + 4*j for a. -5 Let h be (-1*(-4)/(-3))/(344/(-516)). Solve h*q - 1 = -y, -2*q + 16 = 2*y + 2*y for q. -2 Suppose 2*u = -2, m - 3*u + 8*u = 0. Solve m*z - k + 2*k = 0, 2*z + 5*k + 23 = 0 for z. 1 Suppose 7*f + 5*f - 36 = 0. Solve 2*m - b = -8, 2*b - 13 = 5*m + f*b for m. -3 Let s be (-4)/(-3)*3 - -1. Solve 0 = -4*i - 0*i + s*b + 12, -5*i = -4*b - 15 for i. 3 Suppose 0 = 11*i - 15*i + 16. Solve 4*s = q + 3, 0 = -i*s + 4*q + 2 + 10 for s. 0 Suppose -3*o + 7*o = 20. Let p(n) = -2*n**2 - 7*n - 3. Let d be p(-2). Solve -o*s - 2*l + 21 = -3*l, -2*s + d = 5*l for s. 4 Let p = -3 - -5. Let s be -2*(-1)/p*3. Suppose -23 = -s*f - 2*u, 2*f + 3*u - 7 = 15. Solve 0 = z + f, 3*b - 7*z = -3*z + 8 for b. -4 Let k(v) = 2*v**2 + 6*v + 3. Let g be k(-5). Let q = g - 14. Solve -q*p + 4*p - 25 = 3*a, p = a - 5 for p. -5 Suppose 54 = -5*k + 279. Suppose 4*w + 2*b - 54 = 0, 3*w + 2*b = -b + k. Solve 0*s = -a + 4*s - 20, -a = 4*s - w for a. -4 Let l = -3 - -8. Solve 0*b = 4*b + l*w - 2, 5*w = 5*b - 25 for b. 3 Let g = -4 + 14. Suppose -2*z + g = 0, 0 = v - 2*v - 2*z + 14. Solve -u - 1 = 3*d - 8, 0 = -4*u + v*d - 36 for u. -5 Suppose -x - 4*x = -2*l + 14, 5*x - 5*l + 20 = 0. Let c = x - -3. Solve -m + 3*a + c = 0, 0 = -2*m - a - 5 - 0 for m. -2 Let r(p) = -p**3 - 11*p**2 + 13*p. Let q be r(-12). Let n = -8 - q. Solve -4*b = n*l + 8, -5*l = -6*b + b + 10 for b. 0 Let l be -2*6/(-2 + -1). Suppose x = 4*d - 2 + 7, 0 = 3*d + x + 2. Let m = d + 5. Solve -2*z - m = v, 3 = -l*v + 2*v + z for v. -2 Let d(t) = 3*t. Let p be d(-2). Let y(g) = g**3 + 5*g**2 - 6*g + 4. Let z be y(p). Solve 7 = -5*o + 2, z*r = -o + 11 for r. 3 Let b(j) = j**2 - 4*j + 6. Let w be b(4). Suppose p - w = -p. Solve -v = 3*v + p*s - 8, -v = -s + 5 for v. -1 Let t = -7 + 11. Suppose 0 = -2*l + t. Suppose 14 = 2*s + l. Solve 0 = 2*c + 5*y - 3, 6*c - 3*y = 3*c - s for c. -1 Let b(d) = -d + 16. Let k be b(8). Solve 2*o = -5*r - 18, 6*r - 4*r + o = -k for r. -2 Suppose 0 = -7*c + 2*c + 10. Solve 2*n + t - 7 = 6*t, 0 = 2*n + c*t for n. 1 Let o = 1 - -4. Solve 4 = -3*m - o*n, m = 5*m - 5*n - 18 for m. 2 Let q be (-1)/(-4) - 38/(-8). Suppose q = 4*x + x. Let o = 14 + x. Solve -o = -4*f + c, -4*f + 40 = -5*c + 13 for f. 3 Suppose -10 = b - 15. Solve -4*h - 3*c - 20 = 3, -b*c + 5 = -2*h for h. -5 Let w(u) = u**3 + 2*u + 1. Let x be w(-1). Let i = 4 + x. Suppose 0 = i*z - z. Solve 2*o - o + 2 = -2*h, z = -3*o + 4*h - 16 for o. -4 Suppose -3*j + 2*j = 5*c + 4, 3*j + 4*c + 1 = 0. Let p be 12/j*(1 + 0). Solve -3*l = -p, 20 = -5*w + 3*l - 17 for w. -5 Let l be (-2 - -4)/((-2)/(-3)). Suppose -l*b - 35 = -4*b. Solve -4*s + 20 = -2*a - 6, -3*a + 5*s = b for a. -5 Let f = 5 - 0. Suppose -2 = -2*i + 3*c - 3, -f*i + c + 17 = 0. Solve -2*j + 6 = -2*v - 2, j - i = 4*v for v. 0 Let u(m) = -m**3 - 7*m**2 - 9*m + 7. Let i be u(-5). Solve w + 18 = -4*g - i, -3*g - 3*w - 24 = 0 for g. -4 Suppose 0*h = 4*h + 24. Let z be (-2)/(-4) - 39/h. Solve 3*o + 2*p - z*p = -2, -2*o + 2*p - 4 = 0 for o. -4 Let j = 19 + -17. Suppose 4*m - 4 = 8. Suppose m*y = 5*y. Solve 2*z - j*r - 5 = r, y = -r + 1 for z. 4 Let k(j) = -j - 1. Let f be k(2). Let b = 1 + -2. Let i be b/(-1) - (2 + f). Solve 4*t = -2*y - 14, -3*t = -0*y - i*y + 21 for y. 3 Suppose -15*k + 9 = -14*k. Let v(h) be the third derivative of -h**5/60 + 13*h**4/24 + h**2. Let t be v(k). Solve j + 6*b - 24 = 2*b, -4*b + t = 4*j for j. 4 Suppose 3*i + 11 = -9*m + 11*m, 2*i + 2 = 0. Solve -3*l = m*u - 7, 3*l + 4*u - u = 3 for l. -3 Let y(t) = t**3 + 4*t**2 - 5*t + 3. Let n be y(-5). Solve -2*p - 6 = 0, 8*l - 4*p - 22 = n*l for l. 2 Let u be 10 + 3 + (3 - 1). Solve -v + g + g + 6 = 0, -3*g - u = -3*v for v. 4 Let k be 2*((0 - 2) + 3). Let a be k + (-1 - (-2)/1). Solve -3*g = -3*o, o + g + a = 1 for o. -1 Suppose 0 = -p + 4 - 2. Let x = -8 - -8. Let f = 5 + -3. Solve p = 4*v + q - 3*q, -f*v - 4*q + 6 = x for v. 1 Let p = 47 - 43. Solve 4*b = p*u - 24, 4*u - 10 = b + u for b. -4 Let v = 0 - -20. Solve 4*b + v = -3*m, b + 2 = -2*b + m for b. -2 Let o be 45/6 + (-3)/(-6). Let j(k) = k - 4. Let s be j(o). Suppose 2*t + 1 + 77 = s*n, 2*t + 98 = 5*n. Solve 0*z - 4*g = -4*z + n, 3*z + g = 3 for z. 2 Suppose 5*z - 110 = 5. Let c = 46 + -40. Solve c*f - 3*f = 2*u + 18, -5*f = -u - z for u. -3 Let i(p) = 2*p - 6. Suppose -29 + 5 = -4*h. Let l be i(h). Suppose a - l*a = 0. Solve 3*j = 2*s + 4, 2*j - s - 4 = -a*j for j. 4 Suppose 0 = -v - v. Suppose -25 = -n - v*n. Solve 19 = -4*h - 6*c + 3*c, 5*c = -n for h. -1 Suppose -5*w = 3*s - 26, 4*w + 2*s - 5*s - 10 = 0. Solve 0 = i + h - w*h, 4*h = 5*i for i. 0 Suppose 3*x + x - 12 = 0. Suppose x*w - 2 = 2*w. Solve 0 = t - 4*d + 17, 0*d - 3*d + 14 = -w*t for t. -1 Let g be (2/(-9))/(3/(-27)). Suppose 0 = b + s + 1, -2*s - 6 = -0. Solve 2*x = -h - 7, -g*h + b*x - 11 = 5*x for h. -1 Suppose -2*w + 3*m = 9, 2*w - 2*m = -3 - 3. Let r = 8 + -5. Solve 3*i = 4*c - r - 8, -3*i - 15 = w for c. -1 Suppose 0 = 2*w - w + 1. Let y be w/(7/4 + -2). Let k(u) = -2*u**3 + 2. Let a be k(-2). Solve 20 = 3*z + z, a = 2*c + y*z for c. -1 Suppose 27*m + 5 = 28*m. Solve -4*d + m*d + 10 = 3*z, -3*d = -5*z + 14 for z. 4 Let n be (13/3 - (2 - -1))*6. Solve -4*w - n = -3*r - r, 3*w = 2*r - 2 for w. 2 Let h = 0 - -1. Suppose -m = -h - 3. Solve -m*q = 2*d - 7 - 3, 4*q - 15 = -d for d. -5 Let p(y) = 2*y**2 - 5 + 0 + 2*y + 6. Let x be p(-2). Suppose -3*n + x - 2 = 0. Solve 0 = -4*v + 3*w - 17, -3*v + 2*v + 4*w - n = 0 for v. -5 Let h(y) = 3*y - 12. Let a be h(10). Solve 2*k = -3*g - g + a, 0 = -g - 2*k + 12 for g. 2 Let a = 118 - 109. Solve 5*f + 25 = -5*v, -4*v - 1 = 2*f + a for v. 0 Suppose 5*c + 5*l - 140 = 0, c + 0*l + 4*l = 19. Let t = c + -28. Solve 3*b = -4*j - j + 14, t*b - 10 = -4*j for b. -2 Let u = -1 + -6. Let
{ "pile_set_name": "DM Mathematics" }
ommon factor of 45 and b. 9 Let a(z) = -z**2 + 15*z - 5. Let n be a(14). Let g(s) = s + 13. Let r be g(-9). Suppose -3*t - 72 = -r*t. What is the greatest common factor of t and n? 9 Let z(s) = -3*s + 5 - 8*s + 10 - 4*s. Let k be z(-9). Calculate the greatest common factor of k and 30. 30 Suppose 2*c + 338 - 26 = 4*w, 3*w + 5*c = 260. Let z = w - 9. Suppose z = 2*n - 41. Calculate the greatest common divisor of 7 and n. 7 Let a = 79 + -34. Suppose 4*c - 3*f - 24 = 0, -5*c - 2*f = 1 - 8. Suppose 5*v - 81 + c = 3*w, -4*v + 76 = w. Calculate the highest common divisor of a and v. 9 Suppose -601 + 1546 = 9*m. What is the highest common factor of 455 and m? 35 Suppose -f + 0*f = -t + 75, 0 = t - 5*f - 71. Let g be 680/18 + (-4)/(-18). Suppose 0*n - g = -2*n. What is the highest common divisor of n and t? 19 Let u(g) = g**3 - 38*g**2 + 81*g - 32. Let o be u(36). What is the highest common divisor of 219 and o? 73 Suppose -120 = -5*s + o, 2*o - 55 - 17 = -3*s. Calculate the highest common factor of 60 and s. 12 Let y = 482 - 335. Let u = -93 + y. Let p(l) = l**3 + 15*l**2 - 16*l - 222. Let v be p(-15). Calculate the highest common divisor of v and u. 18 Let u(t) = -2*t**3 - 8*t**2 + 40*t - 16. Let l be u(-9). What is the highest common factor of 62 and l? 62 Suppose -72*u = -68*u - 24. What is the highest common divisor of u and 1266? 6 Let g(c) = 2*c - 21. Let j be g(11). Calculate the greatest common divisor of 8 and j. 1 Suppose 74*q = 49*q + 7875. What is the highest common factor of q and 189? 63 Suppose 0 = -5*u + 3*t + 145, u = -4*t + 2*t + 16. Let l be 237/(-2)*(-64)/24. Let v = l - 186. What is the highest common factor of v and u? 26 Suppose 5*u = 2*s - 6*s + 17, 3*u - 3 = 0. Suppose -2*x = -6*x - 112. Let c be s - 5 - (x + 2). Calculate the highest common factor of 12 and c. 12 Let t(s) = -s**3 - 13*s**2 + 15*s + 16. Let x be t(-14). What is the greatest common divisor of 25 and x? 1 Let a(c) = -c**2 - 12*c - 4. Let w be a(-6). What is the highest common factor of 64 and w? 32 Let z(u) = u**2 + 10*u + 12. Let k be z(-9). Suppose 311 = 2*w - 19. Suppose 9*h + 2*h - w = 0. What is the highest common factor of h and k? 3 Suppose -5*s + 23 = 3*r + r, -r = 4*s - 14. Suppose 72 = 2*m - 4*a, 7 = -r*a + 1. What is the greatest common factor of 45 and m? 15 Let z = 1518 + -548. Calculate the highest common divisor of z and 10. 10 Let u be 1/(5*4/80). Suppose -3*m + 4*o + 58 = 11, u*m - 96 = -3*o. Calculate the greatest common divisor of m and 28. 7 Let q(n) be the first derivative of n**4/4 - 8*n**3/3 + 4*n - 11. Let i be q(8). Let l be 6 + 3*i/3. What is the highest common factor of l and 50? 10 Suppose 3*v + 31 = 4*i, 3*i + 3*v - 4 = 2*i. Suppose 5*w + j = 173, -j - 62 = -2*w - 5*j. Calculate the greatest common divisor of i and w. 7 Let a(r) = -r**3 - 6*r**2 - 11*r + 2. Let k be a(-6). Suppose -57 = -3*n + 3*q, 31 = 5*n + 2*q - 50. Calculate the greatest common divisor of k and n. 17 Suppose -124*v + 480 = -118*v. Calculate the greatest common factor of 10 and v. 10 Suppose 3*h + 5*i - 431 = -25, 279 = 2*h + 5*i. Suppose -5*w - 165 = -5*m, 4*w - w + h = 4*m. Calculate the greatest common divisor of 4 and m. 4 Suppose -4 - 3 = 5*q - 2*c, 0 = 5*q + 5*c. Let v be q/(-6) + 418/12. Calculate the greatest common factor of v and 35. 35 Suppose 21*c + 45 = 717. Calculate the greatest common divisor of 608 and c. 32 Let x(t) = t**3 - 9*t**2 - 12*t. Let r(n) = -n + 27. Let h be r(17). Let u be x(h). Let m = -19 - u. What is the highest common divisor of m and 9? 1 Let l(h) = -72*h - 197. Let o be l(-4). What is the greatest common factor of 39 and o? 13 Let y be 79/(-237)*1*-33. What is the greatest common divisor of y and 77? 11 Let h be 2/9 - 669/(-27). Suppose -h - 7 = 4*l. Let o(p) = -5*p - 13. Let r be o(l). Calculate the highest common divisor of r and 3. 3 Suppose 24*m - 30*m = -390. Calculate the highest common factor of m and 1105. 65 Suppose 0 = 4*d + y - 12, 4*d - 4 = y - 0. Suppose -d*s + 5*s = 0. Suppose -160 = -2*o - s*o. What is the greatest common factor of o and 8? 8 Suppose 4*b = 8 - 108. Let m be 30/b*(-45)/2 + -3. Let u(a) = -a**3 + 9*a**2 - 2*a. Let x be u(4). What is the highest common divisor of x and m? 24 Let w be (-24 + 36)*3/2. Suppose 0 = 5*a - a - 24. What is the highest common factor of w and a? 6 Let u(l) = 4*l**2 - 2*l + 2. Suppose -3*g - 40 + 43 = 0. Let h be u(g). Calculate the greatest common factor of 4 and h. 4 Let t be 296/24 - (-4)/6. Suppose 10 = -2*y + 2*g, 2*g - 1 = 4*y + t. Let b = y + 6. What is the highest common factor of 4 and b? 4 Suppose -15*k - 360 = -20*k. Let z(f) = -26 + 2*f - f + 19*f**3 + 24. Let n be z(1). Calculate the highest common divisor of k and n. 18 Let a(q) = q**3 + 11*q**2 - 6*q - 12. Let t be a(-11). Calculate the highest common divisor of t and 297. 27 Let n(i) = -i**3 + 4*i**2 - 2*i - 7. Let a be n(3). Let p be (-4)/((-14)/a - 4). Calculate the highest common divisor of p and 1. 1 Let z be ((-486)/(-12))/((-1)/(-2)). Suppose 5*n = z + 9. Let t(i) = i**2 - 6*i - 4. Let p be t(8). Calculate the greatest common divisor of p and n. 6 Suppose -4*q - 2*d = -16, -5*q = -5*d - 26 - 9. Let x(r) = -r**3 + 25*r**2 + 5*r - 85. Let j be x(25). What is the highest common divisor of q and j? 5 Let x = 3500 - 3410. Let n be 1*19 - (2 - 1). What is the highest common divisor of x and n? 18 Let t(f) = -34*f**3 - f**2. Let s be t(-1). Let j = 37 - s. What is the highest common factor of j and 2? 2 Suppose 11*h - 152 = 9*h. Let m = h + -34. Calculate the highest common divisor of 210 and m. 42 Suppose -4*k - 447 = -5*z - 5*k, 0 = 3*z - 5*k - 285. Let r = -102 - -237. What is the highest common factor of r and z? 45 Let m(t) = t**2 + 13*t - 23. Let w = 59 - 81. Let q be m(w). What is the greatest common divisor of 25 and q? 25 Suppose -640 = 6*r + 4*r. Let i be (r/(-20))/(4/(20*1)). Calculate the greatest common factor of 176 and i. 16 Let b = 177 - -33. Let w(j) = 15*j - 3. Let g be w(10). Suppose 3*l = 5*o - g, -62 = -2*o + l - 3*l. Calculate the highest common factor of o and b. 30 Let g = -86 - -44. Let h be 13/6 - (-7)/g. Let x(w) = 3*w**2 - 3*w - 4. Let o be x(-2). Calculate the highest common divisor of h and o. 2 Suppose 29*l = 32*l - 54. Suppose -9*z - l + 126 = 0. What is the highest common factor of z and 48? 12 Suppose 0 = -0*q - 4*q + 160. Let o(g) = 3*g**2 - 4*g - 20. Let x be o(-10). Calculate the greatest common factor of x and q. 40 Let g = -148 - -184. Let o be (8/10)/((-2)/(-65)). Suppose 3*l = o + 1. Calculate the highest common factor of g and l. 9 Suppose -7*t = -3*t - c - 566, -5*c + 554 = 4*t. Let b = -209 - -303. Calculate the greatest common divisor of b and t. 47 Let g(m) = 4*m**2 - 3*m + 2. Let t(z) = -5*z**2 + 2*z - 2. Let c(r) = -4*g(r) - 5*t(r). Let b be c(-1). Calculate the highest common factor of b and 36. 9 Let a be (-10)/(-2) - (3 + -1). Suppose t = a*t - 8. What is the greatest common divisor of 28 and t? 4 Suppose 10*c - z = 6*c + 280, 0 = 4*c + z - 272. What is the highest common divisor of c and 345? 69 Let k = 6 + 0. Let a(u) = u**3 - 3*u**2 - u + 4. Let y be a(3). Let l = 2 + y. What is the greatest common factor of k and l? 3 Suppose -462 = -40*r + 33*r. What is the highest common factor of 6 and r? 6 Suppose 77 = 4*p + 17. Suppose 2*v + 3*r + 1 = 0, 2*r - p = -5*v - 2*r. What is the highest common factor of v and 49? 7 Let a = -24 + 28. Suppose -q + 33 = 3*o, o = a*o - 2*q - 24. Calculate the highest common factor of o and 4. 2 Suppose 0 = -4*u - 5*a + 102, 4 + 18 = u + 3*a. Calculate the highest common divisor of 238 and u. 14 Suppose 0 = -5*y - 26 + 356. Let s(j) = -3*j + 5. Let k be s(-7). Suppose -k = -4*m + 18. What is the greatest common factor of y and m? 11 Suppose -v + 15 = 2*v - l, 3*v = 3*l + 21. Suppose -j = -2*c - 4, 8 = -v*j + 2*c + 54. Let i = 32 - j. Calculate the greatest common factor of 144 and i. 18 Let y be ((-144)/10)/(21/(-630)). What is the highest common factor of 16 and y? 16 Suppose 7*n = -8*n + 22605. Calculate the greatest common factor of 11 and n. 11 Suppose 7 - 1 = 3*q. Suppose -144 = m - q*m. Suppose 0 = -3*j - 0*j - 3*b + 72, 5*j - m = b. What is the highest common divisor of 140 and j? 28 Let f(g) = -g**3 + 16*g**2 - 12*g - 1
{ "pile_set_name": "DM Mathematics" }
Suppose -d - 13 = -f. Which is the nearest to 1? (a) -3 (b) k (c) d b Let w be 12/9*2/(-12). Let n = -791 + 796. Which is the nearest to 0.5? (a) 0 (b) n (c) w a Let v(m) = -5*m + 4. Let o be v(-3). Suppose o + 5 = f. Let q be (f/(-9) - -2)*6. What is the nearest to -0.1 in -0.4, 3, q? -0.4 Let g be (32/(-36))/(-1) + 2/(-9). Which is the nearest to -2/3? (a) g (b) -2/7 (c) -0.5 c Let j be ((-1)/22)/(4074/(-444)). Let i = 3/97 - j. Let k = i - -12/77. What is the nearest to k in -0.2, 2/13, 2/7? 2/13 Let m = 11 - 1.8. Let t = m - 10.2. Which is the closest to -1? (a) 6 (b) t (c) -1/5 b Let h be ((-240)/56)/((-1)/(-7)). Let o be ((-1)/2)/((-25)/h). What is the nearest to 0.2 in o, -0.4, -4? -0.4 Let y = -39 - -38.5. Let w = y - -0.6. Which is the nearest to -0.2? (a) 2/13 (b) w (c) 2 b Let b = -74.54 + 74. Let q = -0.64 - b. What is the closest to 1 in q, 2, -0.5? 2 Let o(k) = -k**3 - 2*k**2 - k - 4. Let m be o(-3). Suppose 4*z = -m + 4. Which is the closest to z? (a) -0.3 (b) 1 (c) -5 a Let f be (176/55)/(-8) - 21/(-65). Which is the nearest to -0.3? (a) -0.4 (b) -5 (c) f a Suppose -17*i + 3 = -14*i. Which is the nearest to -7? (a) -3 (b) 9 (c) i a Let t = 0.41 + -0.31. Let q = -47 - -47.4. Let u be (1/1)/(-4 + 0). What is the nearest to t in q, u, -4? q Let u = 29 - 28. Suppose -2*o - p + 0*p + 8 = 0, -3 = -3*o + 3*p. Let v be -1 + (o/(-6) - -1). Which is the nearest to u? (a) -1 (b) -3 (c) v c Let v = -314.2 - -314. Which is the closest to -49? (a) 0.3 (b) v (c) -3/4 c Let v = 15 + -18. Let k = -0.11 + -3.89. Let r = 2063/5 + -413. Which is the nearest to 1/4? (a) r (b) k (c) v a Let j = 603 - 578. What is the nearest to -1 in j, 2, 4? 2 Let x = -2693 + 2689. What is the nearest to 0.02 in -2/25, 6, x, -1/2? -2/25 Let l = -4.273 - -0.273. Which is the nearest to 1? (a) l (b) 1/7 (c) 2 b Let c be 2 + 0 + -1 - 6. Let a(t) = t**3 + t**2 - 1. Let p be a(0). Let z = 128.6 - 129. What is the closest to p in -0.2, z, c? z Let q = 0.0791 - 0.0691. Let p be ((1 - 2)/(-3))/1. Which is the closest to -1? (a) p (b) 0.4 (c) q c Let t = 2.32 - 13.42. Let w = -11 - t. What is the closest to -2/13 in -2/11, w, -2? -2/11 Let a = -4.54 + 4.44. What is the nearest to 1/10 in a, -3, -5, 0.4? a Let l = 134 - 133.5. Which is the closest to -0.07? (a) l (b) 2 (c) 0 c Let a = -744.2 - -831. Let q = a + -87. What is the nearest to 0 in -2/5, q, 4? q Let v = 41 - -38. Let u = 241/3 - v. Which is the closest to -0.1? (a) u (b) -2/17 (c) -2/7 b Suppose -2*x - 18 = -5*i, i + x - 4*x - 1 = 0. Suppose -4*v + 7 = -m, 5*m + 12 = -4*v + 1. What is the nearest to -0.1 in v, i, 2/5? 2/5 Let g = 411 + -412. Which is the nearest to g? (a) 0.1 (b) 1/4 (c) 0.5 a Suppose 9 = 3*h, 0*h + 12 = 3*p - 2*h. Suppose 4*v - 40 = -p*v. Let z = 0 + 1. What is the nearest to z in v, -1, 4/3? 4/3 Let q(i) = i**2 + 7*i + 5. Let n be q(-5). Let k = -9 - -9.2. What is the closest to -0.2 in k, 2/13, n? 2/13 Let r = -282 - -279. Which is the closest to 0? (a) -0.2 (b) -5 (c) r a Let n = -0.543 + 0.243. What is the closest to -0.1 in 1/4, n, 1, 0.5? n Let v = 5/29 - -43/87. Let x = 1181 + -1182. Which is the nearest to x? (a) -2/19 (b) v (c) -2 a Let w be (4/(-6))/(42/(-9)). Let b = 13.23 + 0.97. Let v = 14 - b. What is the closest to -3/5 in v, -0.5, w? -0.5 Let g be 20/(-6)*(15/3)/(-75). Let f be -2*(-2 + (-35)/(-10)). Which is the nearest to 1/5? (a) g (b) 0 (c) f a Let m(p) = 2*p + 10. Let y be m(-5). Suppose y*w + 5*w = 25, 4*k = 4*w. Let f = -4 + k. Which is the nearest to -0.1? (a) f (b) 0.5 (c) -0.1 c Let o(p) = 3*p + 12. Let f be o(0). Let i(r) = r - 14 + 0 - 1. Let s be i(f). Which is the nearest to -2? (a) 0.3 (b) s (c) -0.4 b Let q(l) = 27*l - 31. Let m be q(1). Suppose 4*s + 4 + 4 = 0. Let g be 4/(-5) - s/2. Which is the nearest to 1/3? (a) m (b) -5 (c) g c Let s be -1*5*4/(10 + -6). Let z = 724 - 721.01. Let v = -0.01 - z. Which is the closest to s? (a) 1 (b) v (c) 2 b Suppose -3*z = -2*z - 9. Let q = z + 0. Suppose 0 = -5*y - 14 + q. What is the nearest to 2/7 in y, -2/9, 3? -2/9 Let n = 2.7 - 3. Let a be (20/16)/((-44)/(-176)). What is the nearest to -0.2 in 1, a, n? n Suppose -5*p - 12 = 5*s - 32, 4*p - 25 = 5*s. Which is the nearest to 2? (a) 1/5 (b) -4 (c) p a Suppose -3*v - 3 = -2*t, -2*v = -6*v - 3*t - 21. Let a = 22.103 + -0.103. Let p = 22.1 - a. What is the closest to -0.1 in v, p, 3? p Let h = -1734 - -1760. Which is the nearest to -3/4? (a) 2/7 (b) h (c) -3 (d) 4 a Let k = -133 + 132.9. What is the closest to k in 5, 1, 0.068? 0.068 Let q(y) = -2*y**2 + 3*y**2 - 2 - 4*y + 6 + 0*y. Let i be q(4). Let k be 2/9 + (-4)/9. Which is the closest to 0? (a) -3/5 (b) i (c) k c Suppose -3*v + 153 = 45. Let x be (-42)/v - (-2)/3. Which is the closest to -0.1? (a) 4/7 (b) x (c) 2/37 c Let f(v) = -v**3 + 10*v**2 + 11*v - 1. Let h be f(11). Let g = -41 + 21. Let n = -20.1 - g. Which is the nearest to 1/2? (a) 0 (b) h (c) n a Let g = 4 - 4.1. Let u = -0.286 + 0.186. What is the nearest to g in 0, 6, u? u Let k be 734/506 - 10/115. Which is the nearest to 1? (a) k (b) 0 (c) 2/11 a Let d = 5/21 - -1/21. What is the closest to d in -31, 3, 1/4? 1/4 Let y = 110/303 + -3/101. Let w = 5 - 5. What is the nearest to -1/9 in w, y, -3? w Let d = -119.4 - -134. Let j = 533 - 548. Let a = j + d. What is the nearest to 0 in 0, a, -1/4? 0 Let w(o) = 6*o**3 - 2*o**2 + 2*o - 1. Let f be w(1). Let h = 3 - f. Suppose 0 = -115*n + 241*n - 122*n - 8. Which is the nearest to n? (a) -4 (b) h (c) 1/4 c Let f = -316/9 - -106/3. Which is the closest to -49? (a) f (b) 4 (c) -2 c Let q = -1.31 - -2.51. Which is the closest to -1? (a) -0.3 (b) 0.3 (c) q a Let a = 97.3 - 97. Let c = 8 - 11. Let k = -0.5 + 0.5. What is the nearest to c in 4, k, a? k Let j = 6 - 3. Let t = -6 + j. Which is the closest to -1/3? (a) -5 (b) t (c) 1/2 c Suppose h + 12 = -3*o, -4*h + 3*o + 3 = -2*o. Which is the closest to 1? (a) 0.31 (b) h (c) 1/2 c Let i(j) = 4*j**2 - j. Let g be i(-1). Let r be (-3)/g + 12/20. Suppose r = 4*b + b - 5. What is the nearest to -4/7 in -0.3, b, -0.1? -0.3 Let y(q) = q**2 - 68*q + 297. Let u be y(63). Which is the nearest to 1/3? (a) 2 (b) u (c) 3 a Let v = -8.17 + 0.17. Let m = 8.6 - 9. Which is the closest to 2/3? (a) v (b) m (c) 2/7 c Let h = -1720 + 1719.9. Let w be 1/3 - (-26)/(-24). What is the closest to h in -2/7, w, 0.2? -2/7 Let p = 2.5 + -3. Let r be -28 + 29 - (0 + 0). What is the nearest to r in -1/3, -4, p? -1/3 Let r = -1312 + 1312.5. What is the nearest to -4 in 5, -8, r? -8 Let k = -0.04 - 0.16. Let x = 0.24 + k. Let h = -2.5 + 2.6. What is the closest to 1 in x, h, -1/5? h Let v = -3221/7 - -460. Which is the nearest to 0? (a) 4 (b) v (c) -0.5 b Let s = -4667 - -4670. Let t = -99 + 193/2. Which is the nearest to 0? (a) t (b) s (c) -1 c Let k = -25 + 29. Let a be 2 - k/((-80)/(-44)). What is the nearest to 4 in 0.4, a, 3/8? 0.4 Let k = -7 - -13. Let p = k + -2. Let c(j) = -3*j. Let u be c(1). What is the closest to 0.1 in u, p, -0.4? -0.4 Let t be (7 - 3 - 4) + -2. Let b = 1.3 - 0.3. Let z = -114 - -911/8. What is the closest to b in z, t, 2/5? 2/5 Let q = 21.4 - 21. Let j = q + 0.6. Let b = -4 - -8. What is the closest to 2 in b, j, -1? j Let n be -2*(1 + 1) + -9 + 14. Let s = 18.5 + -7.3. Let i = -11 + s. Which is the closest to n? (a) -3 (b) -4 (c) i c Let u = -19.8 + 18. Let x = 3.023 + -0.023. Which is the nearest to 2/7? (a) x (b) u (c) 0.1 c Let b = -8.4 - -2.9. Let k = b - -1.5. Suppose 0 = -8*s - 10 + 2. What is the closest to 0 in 5, s, k? s Let z be 2/8 + (-199)/140. Let h = -8/5 - z. What is the nearest to -2/3 in h, -1, -4? h Let t be 1/3 + 8/(-6). Let d = -525 - -481.1. Let o = 44 + d. Which is the closest to 2? (a) o (b) -1/4 (c) t a Let d = -80 - -85. What is the nearest to 8 in d, -0.2, 1/3? d Let o = -26.1 - -31.1. Which is the nearest to 4/5? (a) 4 (b) -5 (c) o a Let g = -0.1 + 7.1. Let i = -9 - -8.932. Let q = i + 0.568. What is the nearest to 0 in q, -2/17, g? -2/17 Let l = 18 - 25. Let q = l - -10. Let o = -4 + q. What is the nearest to 2 in 0, o, -0.3? 0 Let s be (6/(-20))/((-3)/(-4)). Let d(y) = 11*y + 2. Let x be d(-3). Let p = -219/7 - x.
{ "pile_set_name": "DM Mathematics" }
179*r + 3. Is 18 a factor of g(14)? False Let u(a) = a + 28. Let x = 52 + -63. Is u(x) a multiple of 17? True Does 5 divide (-252)/(-8)*(-2)/(-3)? False Let o(v) = v**3 - 7*v**2 + 3*v - 10. Let c(x) = -8*x - 8. Let f be c(-2). Is o(f) a multiple of 26? True Let y(j) = -5*j**3 - 2*j**2 + 3*j - 5. Let i be y(-3). Suppose 74 = g - 0*w - 2*w, 2*g = -5*w + i. Is 32 a factor of g? True Suppose 5*t = u + 1027, 2*t + 0*u = -2*u + 406. Suppose -275 - t = -5*k. Suppose 10 = l - v - 5, -2*v + k = 5*l. Is 9 a factor of l? True Let i = 682 + -364. Suppose 4*l + 0*p - 5*p = 421, 3*p + i = 3*l. Suppose -y - l = -4*k, -4*k - y + 0*y = -99. Does 13 divide k? True Let g(s) = s**2 - 5*s - 9. Let v be g(7). Suppose -v*y = -0*y + 2*i - 210, -69 = -y + 5*i. Is 4 a factor of y? True Is (-3924)/(-10) - (-14)/(-35) a multiple of 14? True Let v(h) = -2*h**2 - 13*h. Let o be v(-6). Suppose m + o*d - 78 = 8*d, -4*m - 2*d + 262 = 0. Suppose 2*n + b - m = 3*b, 3*n - 2*b - 98 = 0. Is 10 a factor of n? True Suppose -6 - 4 = -4*w - 2*y, 5*y = 5*w - 35. Suppose w = q + u - 1, -5*u + 22 = 2*q. Is 11 a factor of -2 + q + 40 - 4? False Let j = -133 + 154. Is 9 a factor of j? False Suppose -5*h + 4*q + 3145 = 3, 0 = 3*h - 4*q - 1882. Is 30 a factor of h? True Let y(p) = -p - 11. Let q(n) = 1 + 3 - 5 + 2. Let o(x) = -q(x) - y(x). Does 5 divide o(8)? False Let a(h) = 5*h - 5. Let f be a(2). Suppose f*x = 3*d - d - 18, d = -3*x - 2. Is 19 a factor of d/(-10) - 1152/(-30)? True Let n be (-3)/(3/(-1)) - 614/(-2). Let w = -203 + n. Is 11 a factor of w? False Let p(q) = q**3 + 7*q**2 - 2*q + 5. Let k be p(-6). Suppose 263 - k = 7*t. Is t a multiple of 15? True Let d = 51 + -31. Let x = -8 + d. Suppose 0 = 11*m - x*m + 69. Does 23 divide m? True Suppose 12*w - 949 - 3779 = 0. Is 7 a factor of w? False Let q = 101 + -70. Suppose 0 = -5*v - 5*n - 65, -3*v + v - 3*n - 24 = 0. Let t = q + v. Is 8 a factor of t? True Is 7 a factor of (780/(-9) + -2)*(-1161)/86? True Suppose -2*y + 489 = -5*x, y - 2*y - 4*x + 264 = 0. Does 18 divide y? True Let j = 2345 - 10. Does 13 divide j? False Is -2 - (-7460)/15 - 2/6 a multiple of 15? True Let m(g) = 23*g**2 + 23*g + 15. Is 7 a factor of m(-6)? False Suppose 93273 - 289833 = -65*q. Is q a multiple of 9? True Suppose -3*n = -2*n + 230. Is (27/12)/(-3) + n/(-8) a multiple of 7? True Let y(v) = 30*v + 2. Let a(c) = -c**2 + 6*c - 3. Let z be a(2). Is 8 a factor of y(z)? True Let z = 589 + -372. Does 40 divide z? False Suppose 0 = 6*r - 4767 - 1083. Is r a multiple of 65? True Suppose 3 = -3*q - 6. Let f be 0 - (q + (-3)/(-3)). Suppose j = -f*j + 198. Is j a multiple of 27? False Suppose 0 = -3*l + 22 + 53. Suppose 4*g + 9 = -3. Let b = g + l. Does 11 divide b? True Suppose 0 = 7*u - 5*u - 28. Suppose -t + 3*q - 1 + u = 0, -q - 4 = 0. Is 11 a factor of 24/2 + -2 + t? True Let w(o) = -o**3 + 22*o**2 - 17*o + 20. Does 10 divide w(19)? True Let m be (-1)/3 + 11/33. Suppose f - 3 - 5 = m. Does 16 divide 117/5 + f/(-20)? False Suppose 0 = -6*a + 48 + 96. Does 3 divide a? True Let s(o) = -o**2 + 115. Suppose n - 2*n = 0. Does 23 divide s(n)? True Suppose -503*s = -495*s - 560. Does 2 divide s? True Let q = 4110 - 2875. Is q a multiple of 95? True Let k be (7 + -1)*-1*80/(-15). Does 11 divide k + (1 - 3)*1? False Is 38376/(-78)*(-1 - (-2)/4) a multiple of 41? True Suppose -8*c + 12*c - 9656 = 0. Is c a multiple of 14? False Let x = -7005 - -10320. Is 13 a factor of x? True Let r(l) = -38*l**3 + 1. Let j(m) = -m**2 + 14*m - 1. Let h be j(14). Is 8 a factor of r(h)? False Suppose q + 5*h - 31 = -3*q, 5 = 2*q - h. Suppose 2*i + n - 277 = -12, 4*n + 524 = q*i. Suppose -7*p + 386 = -i. Is 28 a factor of p? False Let j = 47 - 20. Suppose -j*b + 90 = -24*b. Is 4 a factor of b? False Let b(v) = -2*v - 2. Suppose -5*f = 4*a - 2*a + 1, -f = -4*a - 35. Let y be b(a). Is 396/y - (-24)/(-84) a multiple of 10? False Suppose -5*u + 10 = -10. Suppose -3*f = -2*p - 6, -2*f - u = -2*p - 4*f. Suppose p = 2*c - 2*z - 14, 2*c - 14 = -0*c - 4*z. Does 2 divide c? False Let t(x) = -2*x**3 + 5*x**2 + 4*x + 6. Does 4 divide t(-3)? False Suppose 4*l - 17 = -1. Let z be -1 + 216/l + 0. Is 17 a factor of z - -2*(-1 - 0)? True Suppose 4*z - 1695 = -z - 3*a, -2*a = -5*z + 1670. Does 14 divide z? True Suppose 2*r + 8 = 3*r + 4*o, -3*r + o + 11 = 0. Suppose 1 = -3*z + r*z. Let u(n) = 42*n + 2. Is u(z) a multiple of 22? True Suppose 0 = -3*k - 2*k + 10. Let c be (-200)/(-52) + (-2)/(-13). Suppose c*o = 4*q - 296, -k*o = -3*q - q + 286. Is 23 a factor of q? True Is (8 - 11 - 3) + 284 a multiple of 107? False Let y = 35 + -23. Suppose -8*v - 68 = -y*v. Is v a multiple of 4? False Does 17 divide ((-7)/(-2))/(1/102)? True Let s = -189 - -209. Is s a multiple of 5? True Let u(b) = 17*b - 45. Let d = 7 + 2. Is 26 a factor of u(d)? False Let o = 96 + -218. Is 40 a factor of o/(-3 - (-26)/10)? False Suppose 168*y - 142*y = 13546. Does 26 divide y? False Suppose 6*q = -0*q - 54. Let j(r) = r + 12. Let c be j(q). Suppose 5*k - 2*k - 113 = -2*h, -c*h - 3*k = -162. Is 9 a factor of h? False Let x(z) = -6*z**3 - 2*z**2 + 1. Let h be x(-1). Suppose 5*a + 24 = -1, -u = h*a + 21. Suppose -5*s + 81 = -3*m, -2*s - u*m = -s - 30. Is 5 a factor of s? False Let h(c) = -18*c - 32. Let q(g) = 3*g + 6*g + 21 + 3*g. Let r(m) = -5*h(m) - 8*q(m). Is 11 a factor of r(-5)? True Suppose -573*i - 18000 = -579*i. Is 117 a factor of i? False Suppose 1925 = 5*a + 270. Suppose -5*z - 81 = -a. Does 22 divide z? False Suppose 26*n = 5*h + 21*n - 1535, 0 = 4*h - 2*n - 1238. Does 8 divide h? True Suppose 124*j + 33 = 4*t + 129*j, -4*j + 20 = 0. Let c(l) = 1 - l**3 + 3*l**3 + 2 - 3*l. Is 8 a factor of c(t)? False Let w(u) = u**3 + u + 0*u + 8*u**2 + 2*u - 3 + 2*u. Let j be w(-7). Suppose 0 = y - 3*k - j, -7*y + 75 = -2*y + 5*k. Is 7 a factor of y? True Suppose 4221 = 21*n - 12*n. Is n a multiple of 46? False Is 85 a factor of 170/20*(22 - 2)? True Suppose -36 = 2*g + 4*s, g - s + 11 = -g. Let i(o) = o - 1. Let x(a) = 9*a + 16. Let v(b) = i(b) - x(b). Is v(g) a multiple of 16? False Let t(c) = -c + 12. Let a be t(9). Let z be 3/(27/276)*a. Let h = 130 - z. Is 19 a factor of h? True Suppose o - 36 = 5*o. Let p be (o - -3) + 2 - -4. Suppose p = -3*y + 125 + 22. Does 13 divide y? False Let v(f) = 422*f**2 + 24*f - 56. Does 14 divide v(2)? True Let z(n) = -7*n**3 - 2*n**2 + 5*n - 6. Is 6 a factor of z(-3)? True Suppose 0 = 4*h + 4*z - 36, 2*h + 5*z = 3*h + 9. Is 31 a factor of (h - 3)/3 - -1*92? True Is 45 a factor of (-2035)/22*-3*6/1? True Suppose -2*q = -136 - 178. Let r = q + -85. Suppose -4*c + 211 = -5*h, -5*h + 23 = -c + r. Does 18 divide c? True Let j(l) = -l**3 - 8*l**2 + 9*l. Let i be j(-9). Let b(o) = 1 - o - o + i. Is 12 a factor of b(-14)? False Suppose 2*t + 9*n - 8*n - 8864 = 0, -2*t + 8864 = -2*n. Is 23 a factor of t? False Let d(k) = 42*k - 16. Does 5 divide d(3)? True Suppose 141*l - 980 = 140*l. Is l a multiple of 20? True Suppose 7*p - 48 - 8 = 0. Is 13 a factor of 2/p - (-4 + (-245)/28)? True Let g = 21 + -14. Suppose g*a = -a + 208. Is a a multiple of 6? False Let n(w) = -w**3 + w - 1. Let p(b) = 5*b**3 - 4*b**2 - 9*b + 4. Let c(s) = -6*n(s) - p(s). Let q be c(-4). Is 44/7 + q/35 a multiple of 3? True Let s(x) be the second derivative of x**5/60 - x**4/3 + 3*x**3/2 - 3*x**2 - 3*x. Let r(m) be the first derivative of s(m). Is 2 a factor of r(7)? True Let a(z) = 4*z**2 - 38*z + 59. Is 5 a factor of a(16)? True Let r(f) = 14*f**2 - f + 5. Let s be r(5). Suppose 5*x = -k - 4*k - 350, -5*k + 4*x = s. Let w = 122 + k. Is w a multiple of 13? True Let g(f) = 5*f + 53. Does 34 divide g(3)? True Let h(s) = -s - 13. Let y be h(-15). Suppose 18 = -y*v + 6. Let q(j) = -j**3 - 4*j**2 + 7*j + 2. Does 8 divide q(v)? True Suppose 5*s = -4*h + 1621 + 59, 1344 = 4*s - 5*h. Does 14 divide s? True Let b(h) = 7*h - 52. Let g be b(8). Suppose 815 + 733 = 5*d + 4*n, -g*d - 2*n + 1236 = 0. Does 14 divide d? True Suppose r + r + k = 5, -4*k = 20. Let q(m) = 18*m - 1. Is q(r) a multiple of 20? False Suppose 7*k - a + 135 = 2*k, 4*k = -5*a - 137. Let l be 7/(k/512)*-1. Suppose -2*i + l = 2*i. Does 16 divide i? True Suppose 0 = -126*m + 114*m + 3120. Does 13 divide m? True Let c = 10 + -14. Let u be c/12 + 20/6. Suppose 0 = u*r - 28 + 4. Does 5
{ "pile_set_name": "DM Mathematics" }
*s + 107. Let g be j(-25). Let a = g + 48. Solve -7 - a = -3*u, -4*c + 8 = 5*u for c. -3 Let i(v) = -v**2 + 2*v. Let a be i(2). Let w(f) be the second derivative of 2*f**3/3 + 5*f**2 - 4*f. Let x be w(a). Solve -m + 2*s = 3*m - x, m + s = 4 for m. 3 Suppose -b = b - 28. Suppose 11584*c = 11585*c - 5. Solve -4*q + 2*d + d = b, -c*q = -5*d + 20 for q. -2 Let f = -5 - -15. Let v be -1*1/(-2)*f. Suppose -3*u - 5*x = -24, 2*x + 6 = -u + v*u. Solve u*o - 5*l - 1 = 0, -l = 3*o - 0*l + 11 for o. -3 Suppose 35 = -5*f - 85. Let i be f/(-18)*(5 + -2). Suppose 0 = 7*n - 10 - i. Solve 5*l = -n*r - 2, 4*r + 4 = -0 for l. 0 Let x be ((-220)/(-22))/((41 - 43) + (-18)/(-4)). Suppose -2*f + 3 + 1 = 0. Let w be 6/1 + 1 - f. Solve 0 = -x*j + a + 25, 4*j = -j - w*a for j. 5 Let n(k) = -k**3 - 7*k**2 + 7*k + 9. Let b be n(-4). Let t = b - -71. Solve -26 = 5*f - 3*o, 3*f + t*o + 4 = -0*f for f. -4 Let x = 18 + -2. Let k(u) be the second derivative of -u**3/3 + 18*u**2 - u + 36. Let q be k(x). Solve 4*f - 4*g = 8, 5*f = -2*g + q*g + 4 for f. 0 Let v = 241 - 85. Let m = -152 + v. Solve -2*y - m*i + 24 = 0, -3*y = 2*y - 4*i - 4 for y. 4 Suppose 80*l + 12 = 12. Let z = 19 - 10. Suppose 5*n - 6 - z = 0. Solve t = -c - l*c - 4, 5*t - n*c - 12 = 0 for t. 0 Let f(o) = -o**3 + 2*o**2 - 11*o + 50. Let h be f(3). Solve 4*w - 15 = h*w + k, 3*k = -5*w - 24 for w. -3 Let y(o) = -5*o + 39*o**3 - o**2 - 38*o**3 + 4 + 2*o. Let h be y(2). Solve -3*c = -3*j + 6, -2 = -0*c - h*c for j. 3 Suppose 3*h + 3 = -2*l, 4*h + 17 = 4*l + 53. Solve -5*o + 10 = -3*o - h*z, -3*z - 12 = 0 for o. -1 Let m be (-2 + 10/4)*-94. Let x = 17 - -33. Let j = m + x. Solve -2*s + 0*s = -j*i + 17, -19 = -s - 4*i for s. -1 Suppose -4*o + 16 = 8*c - 4*c, -4*o + 16 = -3*c. Solve q + 3*x + 1 = c, 12 = -2*q + 17*x - 13*x for q. -4 Let l(d) = 122*d + 3. Let q be l(0). Solve -3*c + c - 5*g - 30 = 0, -q*c - 2*g - 23 = 0 for c. -5 Let l be ((-30)/35)/((-8)/28). Suppose i = 3*i. Suppose i = 2*q + l*q - 20. Solve c = -q*s + 3*c - 2, 0 = s - c for s. -1 Let l = -462 + 491. Suppose 0 = -l*y + 30*y - 5. Solve 4*h = -2*g - 10, 3*h - y*g = 7 + 5 for h. -1 Let p be (-10)/(6/(-2) + 1). Let a(v) = v**3 - 100*v**2 + 24*v - 2398. Let w be a(100). Solve -3*d + p*t = -0*d - 34, w*t = 2*d - 16 for d. 3 Suppose -4 = -2*p, -229*p = 5*b - 228*p - 27. Let c = 10 + -5. Solve c*y - l = 23, 5*y + 0 - b = -5*l for y. 4 Let g(i) = i + 13. Let l be g(-9). Let j(m) = 4*m + 15. Let f be j(-3). Suppose -f*t = l*a, a - 17 = -5*t - 0*a. Solve -3*c = 5*u - c + 27, -t*u - c = 21 for u. -5 Suppose 0 = -163*y + 164*y - 3*b + 17, 3*b = 21. Solve -3*t - y*w - 22 + 12 = 0, t = 2*w for t. -2 Let p be (-196)/(-18) + -21 + (-4940)/(-234). Solve -20*n - p = -17*n + 2*v, 3*v = -3*n - 12 for n. -3 Suppose 2*m = 3*i - 114 - 14, 3*m = -5*i + 245. Suppose i*f - 56*f + 20 = 0. Solve -3*o = 2*t + 16, 4*o = t + f*t - 10 for o. -4 Let v(z) = z**3 + 6*z**2 - 7*z - 43. Let t be v(-6). Let s(u) = -2*u**3 - 2*u**2 + 2*u + 2. Let r be s(t). Solve -2*q + 8 = r, 2*q - 15 = 2*h + 3 for h. -5 Let q = -189 - -189. Suppose 5*o + a + 9 - 34 = q, 0 = -5*o - 5*a + 25. Solve -o*c - 5 = -2*s, -2*s - 5*c = -3*s for s. 5 Let b(t) = 5*t + 112. Let f be b(-22). Let n(i) = -i**3 + 7*i**2 - 12*i + 7. Let z be n(f). Solve 1 = z*p - q - 0, 5*q = -4*p - 24 for p. -1 Let d(w) = -2*w**3 - 13*w**2 - 5*w + 15. Let t be d(-6). Let u(o) = 4*o - 31. Let b be u(t). Solve b*q = 4*v + 5, 0*v = -2*q + 3*v + 9 for q. -3 Let g be ((-45)/12)/(-5 + 102/24). Let h = -122 + 126. Suppose 5*i - 9*i + 1 = -u, 8 = h*u - 4*i. Solve -q + u*c = 2, g*q - 4*q = -c + 6 for q. 4 Let y be ((-4)/(-10) + 4/15)*(-34 - -40). Solve 2*t = 5*r - y - 14, -t + 5*r - 19 = 0 for t. 1 Let x(h) be the second derivative of 3*h**5/5 + h**4/12 - h**3/2 + h**2 - h + 2. Let f be x(1). Solve -3*l + 4 = 3*g + 16, -4*l = 3*g + f for l. 0 Let n(x) = -x**2 + 7*x + 6. Let a be n(0). Let p(o) = 10*o - 41. Let q be p(a). Solve -d - 1 = b - 2, d + q = 3*b for d. -4 Suppose -6*g + 999 = -3807. Let c = -782 + g. Solve -3*i + c = 5*w, -2*i - 5*w + 21 + 0 = 0 for i. -2 Suppose 128*o - 55708 = 52*o. Suppose 701 - o = -8*f. Suppose x + x = 4. Solve 2*v - f*l = 28, -2*v - x*l - l = 7 for v. 4 Suppose 0 = -5*w + 42 - 12. Let i be (-9 + 13)/(8/w). Let f = 4 - 1. Solve -r = 2*l + 8, -f = -3*r + i*l - 9 for r. -4 Let k = 2543 + -2543. Solve 5*y = -m - 12 + 11, k = 4*m - 3*y + 4 for m. -1 Suppose 0 = -76*k + 89*k + 2730. Let f = 212 + k. Solve -5*l + f*h = -13, h - 1 + 6 = l for l. 1 Let f = -43277 - -43283. Suppose -4*u - 3*t + 14 = 0, 4*u - 3*t + 0*t = 2. Solve -4*s = 4*v - 4 + 8, -f = -u*v for s. -4 Let l = 65 + -141. Let o = -92 - l. Let f(y) = 3*y + 50. Let w be f(o). Solve 3*k = -12, -w*b + 5*k + 22 = -b for b. 2 Let k(a) = 22 - 8*a + a**2 - 7 - 6. Let c be k(7). Let g be (-5 + 6)*(0/(-1) - 0). Solve 0 = -4*q - q + 4*r + 24, g = c*r + 2 for q. 4 Suppose -2*o = -2*s + 3*o + 41, 5*s - 5*o = 65. Let n(l) = -l**3 + 6*l**2 + 13*l + 29. Let r be n(s). Solve 3*c - 8*w + 3*w + 4 = 0, 0 = -r*c - 3*w - 18 for c. -3 Suppose 78*t = 74*t + 44. Suppose 6*w - t*w + 27 = -c, -3*w - c = -21. Solve -m - 15 = 4*m + x, -2*m = 5*x + w for m. -3 Suppose 0 = -13*u + 16 + 2 - 5. Solve y - u = i, 16*y - 2 = 2*i + 18*y for i. -1 Suppose -12*n + 192 = -5*n + 9*n. Solve -y = -4*w - 3, 43*y - 47*y = -2*w - n for w. 0 Let v be ((-1 - 0) + (-21)/(-14))*-2. Let l be 26/(1 + v + 1). Solve g = 5*q + 18, -g = 4*q + 4*g + l for q. -4 Let b(a) be the second derivative of -a**4/12 + 4*a**3/3 - 21*a**2/2 + 16*a. Let l be b(9). Let i be 26/(-195) - 124/l. Solve 3*o - 1 = 5, o = 2*g + i for g. -1 Let i(t) = 7*t - 131. Let o be i(-9). Let s = 206 + o. Solve -4*u = -s, -2*z + 1 = u - 2 for z. 0 Let w be ((-2)/(-4))/(104/16 - 7). Let c be (2/(-3) - w)/((-4)/(-264)). Solve 5*b = -x + 6 - c, 5*x - 10 = 5*b for b. -3 Let c(w) = -11 - 149*w**3 + 8*w - 6*w**2 + 295*w**3 - 144*w**3. Let y be c(3). Solve 5*i = 3*j - 9, i + 5*j = -0*i - y for i. -3 Let c = 100 + -84. Let u = 20 - 56. Let z = -16 - u. Solve -3*r - g = c, -4*r + 5*r = -4*g - z for r. -4 Let r(f) = -f**2 - 15*f + 7. Let z be r(-15). Let k be 1/(-2)*(-17 - (z + -4)). Solve 3*c + 10 + k = -2*l, c = 3*l + 8 for c. -4 Suppose 4*k + 0*k - 136 = -2*a, -a = -5*k + 156. Let x be (-3)/12 - (-72)/k. Solve 0 = -x*z - 3*h + 26 - 6, -8 = -z - h for z. 4 Suppose 0 = 3*m - 116 + 110. Suppose 0 = -4*b - 2*x + 66, b + x = -3*b + 67. Solve 5*l = y - m*y + 19, -b = -3*l + 5*y for l. 4 Let v = -21 - -17. Let b be 1 - (v + 7 + 34). Let k = b + 36. Solve k = -x - m - 2, -5*m - 22 = -5*x - 2 for x. 1 Suppose 25 = -3*b - 2*b, -b = -2*x + 59. Let j = 44 - x. Suppose 16 = 5*n - 4*t, -2*n + 3*t + 2*t = -3. Solve -3*o - 5*p = -7, n*o + 0*o - p - j = 0 for o. 4 Suppose 5857 = 8*o + 5825. Solve 2*z - p + 14 - 16 = 0, 14 = 2*z - o*p for z. -1 Let o(z) = -16*z**2 + 38*z + 39. Let n be o(3). Solve -k = 5, -3*m + k - n = -8 for m. -2 Suppose 0 = -2*p + o + 2, 4*o = -1 + 9. Suppose 5 = -p*j - k, 24 = -5*j - 5*k - 1. Solve 0 = 5*c + 4*z + 7, j*c - c + z - 5 = 0 for c. -3 Suppose 4*f = -4*n + 76, -2*n + 130 = 3*n - 2*f. Suppose -26*o + 48 = -n*o. Solve j - 3*m = -2*j - 24, -4*j = -2*m + o for j. -4 Suppose 6*m - 2202 - 1146 = 0. Suppose 2*h + 554 = m. Solve 0 = 4*b - 7*z + h*z + 8, -4*b = -2*z - 4 for b. 3 Let i(j) = 2*j**2 - 23 - 13*j + 5*j + 3. Let l be i(6). Solve 2*p = -0*p + l, 3*p = 4*k - 10 for k. 4 Suppose -z = -11 + 35. Let t = z - -27. Solve -t*o - 4*w = 0, -2*o + 11 = -4*w - 9 for o. 4 Let s = 225 + -440. Let a = s - -217. Solve q + 2*c = -0*c + 3, -a*q = -c - 6 for q. 3 Let n = -364 - -364. Suppose n = 8*y - 184 + 168. Solve a - 1 = 2*w, -y*a = -0*a - 10 for w. 2 Suppose -1679*m + 513 = -1622*m. Solve 0*n + 4*n = -h - 9, -h = -5*n - m for h. -1 Let m(x) = -x - 1. Let w(q) = 2 - 1 - 2*q**2 - 4 + 4*q**2 + q**3 - 12*q. Let i(z) = 5*m(z) - w(z). Let n be i(-4). Solve -2*r - 2*b = n, r = 2*b - 6 - 1 for r. -3 Let j = 5145 - 5111. Solve 0 = 5*h - 4*p + 21, 2*p - j = 13*h + 29 for h. -5 Let v = 33473 + -33470. Solve 0 = 5*i + 5*s + 40, 2*s + 29 = -v*i - 2*s for i. -3 Let c(q) = q**3 + 34*q**2 - 66*q + 216. Let v be c(-36). Solve -3*b + 19 = -5*b + 3*a, v = -a + 5 for b. -2 Suppose 35*k - 27 = 26*k. Suppose 4*u + 2 + 8 = 2*r, 3*r + 5*u = 4. Suppose -8 = j - r*j. Solve
{ "pile_set_name": "DM Mathematics" }
ent from scnhnbhw. What is prob of picking 1 h and 1 w? 1/14 Three letters picked without replacement from {k: 2, h: 1, o: 1}. Give prob of picking 2 k and 1 o. 1/4 What is prob of picking 1 y and 1 e when two letters picked without replacement from gmgyveyvgyyyggggmdvg? 1/38 Calculate prob of picking 1 i and 3 p when four letters picked without replacement from pdpppydydpyi. 2/99 What is prob of picking 1 a, 1 r, 1 z, and 1 i when four letters picked without replacement from {r: 1, a: 10, i: 3, z: 1, v: 4}? 5/646 Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {e: 2, v: 2, b: 1, g: 2, l: 1}. 1/14 What is prob of picking 4 e when four letters picked without replacement from veghvvgegvhhxehegeh? 5/3876 Two letters picked without replacement from {o: 5, f: 8}. Give prob of picking 2 f. 14/39 Two letters picked without replacement from oogaoaogoggoogogo. What is prob of picking 2 o? 9/34 Three letters picked without replacement from tltytltlflllllty. What is prob of picking 2 l and 1 t? 1/4 Calculate prob of picking 2 b and 1 o when three letters picked without replacement from nongnggnnbbobonoonjn. 1/76 Three letters picked without replacement from {e: 4, a: 6, w: 5, t: 1}. What is prob of picking 1 t, 1 a, and 1 w? 3/56 Four letters picked without replacement from {h: 1, g: 1, d: 2, b: 1, r: 1, v: 1}. What is prob of picking 1 g, 2 r, and 1 v? 0 Calculate prob of picking 3 j when three letters picked without replacement from {j: 3, f: 6, l: 8}. 1/680 Three letters picked without replacement from {p: 2, k: 2, x: 1, n: 7}. Give prob of picking 2 p and 1 x. 1/220 Two letters picked without replacement from {s: 6, a: 2, l: 9}. Give prob of picking 2 s. 15/136 What is prob of picking 1 d and 2 r when three letters picked without replacement from rdddrduududrrzduh? 21/340 Four letters picked without replacement from ssssvsvsssssvsss. Give prob of picking 4 s. 11/28 Calculate prob of picking 2 i when two letters picked without replacement from {i: 6, z: 5, o: 5, y: 1}. 15/136 Four letters picked without replacement from ojvjjoojvroovoj. What is prob of picking 3 v and 1 r? 1/1365 Calculate prob of picking 2 p and 2 k when four letters picked without replacement from {s: 1, p: 9, k: 4}. 216/1001 What is prob of picking 1 d, 1 f, and 2 e when four letters picked without replacement from {s: 2, f: 3, x: 4, e: 2, d: 6}? 9/1190 Three letters picked without replacement from {a: 7, l: 3}. Give prob of picking 3 l. 1/120 Two letters picked without replacement from ddddrrr. What is prob of picking 2 d? 2/7 Three letters picked without replacement from ziiiziaisuuuius. Give prob of picking 2 i and 1 s. 6/91 Three letters picked without replacement from {o: 1, d: 3, p: 3, f: 2, i: 1}. What is prob of picking 2 d and 1 i? 1/40 Three letters picked without replacement from uoeqvouxv. Give prob of picking 1 x, 1 q, and 1 e. 1/84 Two letters picked without replacement from ejweeevwv. Give prob of picking 1 e and 1 w. 2/9 What is prob of picking 1 r and 3 j when four letters picked without replacement from jjjjjrjjrjrrjj? 480/1001 Four letters picked without replacement from pxgglxs. Give prob of picking 2 x, 1 g, and 1 s. 2/35 Calculate prob of picking 1 x, 1 v, 1 t, and 1 y when four letters picked without replacement from iihtixyiyytv. 2/165 What is prob of picking 1 h and 1 c when two letters picked without replacement from hccchhhhcchhcc? 7/13 What is prob of picking 1 i and 1 w when two letters picked without replacement from piyyuuwwywyyjwpiy? 1/17 What is prob of picking 2 z and 1 e when three letters picked without replacement from zztzzzzzalzlezzzzazz? 91/1140 Calculate prob of picking 2 r and 1 l when three letters picked without replacement from {r: 2, i: 1, w: 2, l: 4}. 1/21 Two letters picked without replacement from nlrnrrlnr. Give prob of picking 2 n. 1/12 What is prob of picking 1 j and 1 h when two letters picked without replacement from jjjzjjrhhjrrrjjjj? 5/34 Calculate prob of picking 2 r when two letters picked without replacement from {r: 1, m: 2, l: 1}. 0 What is prob of picking 4 j when four letters picked without replacement from jjjjjjjjjj? 1 Calculate prob of picking 1 w and 1 g when two letters picked without replacement from ghfffwr. 1/21 Three letters picked without replacement from {w: 2, c: 2, l: 1, t: 1, p: 1, g: 1}. Give prob of picking 1 g, 1 t, and 1 p. 1/56 Four letters picked without replacement from uuwuuuuwuuu. What is prob of picking 4 u? 21/55 Four letters picked without replacement from yyiiiiiiyii. What is prob of picking 1 y and 3 i? 28/55 What is prob of picking 3 e when three letters picked without replacement from {q: 14, e: 5}? 10/969 What is prob of picking 1 g and 1 o when two letters picked without replacement from {z: 7, g: 1, o: 2, i: 7, p: 1}? 2/153 What is prob of picking 1 q and 1 s when two letters picked without replacement from {s: 2, q: 2, p: 11, i: 3, v: 1}? 4/171 What is prob of picking 1 c, 1 r, and 1 s when three letters picked without replacement from {r: 1, s: 11, c: 2}? 11/182 Calculate prob of picking 1 a and 1 p when two letters picked without replacement from zhpphaphphdh. 2/33 Three letters picked without replacement from {j: 1, d: 3, s: 6, a: 4, o: 1, i: 1}. Give prob of picking 1 o, 1 i, and 1 d. 3/560 Four letters picked without replacement from {k: 3, m: 5, x: 1}. What is prob of picking 4 m? 5/126 Two letters picked without replacement from kkokhkqakqekak. Give prob of picking 1 h and 1 o. 1/91 Three letters picked without replacement from ffffyfffyff. What is prob of picking 3 f? 28/55 Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {v: 4, s: 3, k: 11}. 11/51 Calculate prob of picking 1 m and 2 p when three letters picked without replacement from qqmpphpnmpnnonmqho. 3/136 Four letters picked without replacement from ttgfvtgjmfjjtgjftjjg. Give prob of picking 1 f, 2 t, and 1 g. 8/323 Four letters picked without replacement from {y: 2, q: 1, t: 2, l: 1, c: 1, k: 1}. What is prob of picking 2 t and 2 c? 0 What is prob of picking 1 n and 3 w when four letters picked without replacement from fwwfwrwfrrnff? 4/715 Calculate prob of picking 1 h and 1 o when two letters picked without replacement from tmtthbtom. 1/36 Calculate prob of picking 2 h and 1 v when three letters picked without replacement from {v: 4, h: 6}. 1/2 Three letters picked without replacement from {o: 1, y: 1, h: 1, j: 2}. Give prob of picking 1 h, 1 o, and 1 j. 1/5 What is prob of picking 1 c and 2 w when three letters picked without replacement from {d: 2, w: 4, g: 1, o: 3, c: 1}? 2/55 Calculate prob of picking 2 z and 2 w when four letters picked without replacement from weqozoeooqqzewwbeoeq. 1/1615 Two letters picked without replacement from pbbqbcpqbqpbbbqqqqc. Give prob of picking 1 c and 1 b. 14/171 What is prob of picking 2 x when two letters picked without replacement from {x: 12, m: 3}? 22/35 Four letters picked without replacement from {n: 4, h: 3, a: 1, z: 8, u: 2, m: 2}. Give prob of picking 1 h, 1 z, and 2 n. 48/1615 What is prob of picking 3 k when three letters picked without replacement from {k: 6, r: 7}? 10/143 Three letters picked without replacement from {e: 2, h: 6}. What is prob of picking 2 e and 1 h? 3/28 Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {v: 8, m: 2, i: 2, x: 2}. 16/91 Calculate prob of picking 1 q and 2 g when three letters picked without replacement from {i: 1, q: 7, g: 12}. 77/190 Two letters picked without replacement from {d: 2, z: 1, m: 2, h: 1}. Give prob of picking 1 h and 1 d. 2/15 Two letters picked without replacement from uull. Give prob of picking 2 u. 1/6 Calculate prob of picking 4 r when four letters picked without replacement from rrurzzrmrrzluoz. 1/91 What is prob of picking 2 i when two letters picked without replacement from {v: 4, i: 7}? 21/55 Four letters picked without replacement from nninin. What is prob of picking 2 i and 2 n? 2/5 What is prob of picking 1 y and 2 p when three letters picked without replacement from {y: 4, p: 7, t: 2}? 42/143 Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {j: 7, r: 8, o: 5}
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when 120880 is divided by 44. 12 What is the remainder when 10176 is divided by 17? 10 Calculate the remainder when 23201 is divided by 7717. 50 What is the remainder when 750 is divided by 583? 167 Calculate the remainder when 5142 is divided by 41. 17 What is the remainder when 4616 is divided by 3? 2 Calculate the remainder when 3902 is divided by 323. 26 Calculate the remainder when 357571 is divided by 519. 499 What is the remainder when 11964 is divided by 45? 39 What is the remainder when 215 is divided by 70? 5 What is the remainder when 2874236 is divided by 60? 56 What is the remainder when 231086 is divided by 46217? 1 What is the remainder when 4967 is divided by 4950? 17 What is the remainder when 51913 is divided by 6? 1 Calculate the remainder when 20187 is divided by 226. 73 Calculate the remainder when 7833 is divided by 446. 251 What is the remainder when 4044 is divided by 50? 44 Calculate the remainder when 4346344 is divided by 6. 4 What is the remainder when 4032 is divided by 501? 24 What is the remainder when 549 is divided by 21? 3 What is the remainder when 1988 is divided by 560? 308 Calculate the remainder when 2251 is divided by 819. 613 Calculate the remainder when 379887 is divided by 938. 935 Calculate the remainder when 48850 is divided by 549. 538 What is the remainder when 7047 is divided by 585? 27 What is the remainder when 551870 is divided by 110372? 10 What is the remainder when 1392680 is divided by 127? 125 Calculate the remainder when 14212 is divided by 3523. 120 Calculate the remainder when 32668 is divided by 16263. 142 What is the remainder when 1118 is divided by 16? 14 What is the remainder when 1402 is divided by 355? 337 Calculate the remainder when 5115 is divided by 109. 101 Calculate the remainder when 5515 is divided by 1. 0 Calculate the remainder when 4597 is divided by 368. 181 Calculate the remainder when 219111 is divided by 54. 33 Calculate the remainder when 47881 is divided by 15955. 16 What is the remainder when 28952 is divided by 610? 282 What is the remainder when 28797 is divided by 187? 186 Calculate the remainder when 8346 is divided by 571. 352 What is the remainder when 22892 is divided by 286? 12 What is the remainder when 9947 is divided by 711? 704 What is the remainder when 25771 is divided by 241? 225 Calculate the remainder when 114302 is divided by 17. 11 What is the remainder when 24220 is divided by 457? 456 Calculate the remainder when 77532 is divided by 302. 220 What is the remainder when 6291 is divided by 303? 231 What is the remainder when 8387 is divided by 634? 145 Calculate the remainder when 135041 is divided by 13504. 1 What is the remainder when 187908 is divided by 117? 6 Calculate the remainder when 13680 is divided by 489. 477 Calculate the remainder when 10305 is divided by 94. 59 What is the remainder when 54181 is divided by 104? 101 What is the remainder when 1038 is divided by 173? 0 What is the remainder when 256 is divided by 253? 3 Calculate the remainder when 591952 is divided by 225. 202 Calculate the remainder when 14030 is divided by 14. 2 What is the remainder when 171604 is divided by 307? 298 What is the remainder when 1912 is divided by 697? 518 What is the remainder when 82189 is divided by 13696? 13 What is the remainder when 108413 is divided by 1372? 25 Calculate the remainder when 27347 is divided by 325. 47 What is the remainder when 8355 is divided by 394? 81 What is the remainder when 43797 is divided by 671? 182 Calculate the remainder when 2592 is divided by 700. 492 Calculate the remainder when 207352 is divided by 1364. 24 Calculate the remainder when 56525 is divided by 7064. 13 What is the remainder when 7525 is divided by 375? 25 What is the remainder when 17887 is divided by 8? 7 What is the remainder when 1478 is divided by 286? 48 Calculate the remainder when 936095 is divided by 178. 171 What is the remainder when 768 is divided by 374? 20 What is the remainder when 17577 is divided by 5851? 24 Calculate the remainder when 82387 is divided by 568. 27 What is the remainder when 98838 is divided by 146? 142 Calculate the remainder when 31895 is divided by 52. 19 Calculate the remainder when 70326 is divided by 2810. 76 Calculate the remainder when 3751 is divided by 3742. 9 What is the remainder when 223893 is divided by 711? 639 Calculate the remainder when 10683 is divided by 28. 15 Calculate the remainder when 69215 is divided by 168. 167 What is the remainder when 958 is divided by 155? 28 Calculate the remainder when 2551545 is divided by 114. 111 Calculate the remainder when 61360 is divided by 660. 640 What is the remainder when 28575 is divided by 9370? 465 Calculate the remainder when 125900 is divided by 2468. 32 Calculate the remainder when 39953 is divided by 92. 25 Calculate the remainder when 4839863 is divided by 12. 11 Calculate the remainder when 498682 is divided by 94. 12 What is the remainder when 33961 is divided by 11110? 631 Calculate the remainder when 80640 is divided by 80640. 0 Calculate the remainder when 864 is divided by 12. 0 Calculate the remainder when 17942 is divided by 3588. 2 What is the remainder when 418391 is divided by 37? 32 Calculate the remainder when 734 is divided by 344. 46 Calculate the remainder when 76255 is divided by 9531. 7 What is the remainder when 68993 is divided by 124? 49 Calculate the remainder when 48058 is divided by 17. 16 Calculate the remainder when 639194 is divided by 38. 34 What is the remainder when 6487 is divided by 396? 151 Calculate the remainder when 153338 is divided by 79. 78 What is the remainder when 2983 is divided by 127? 62 Calculate the remainder when 22322 is divided by 930. 2 Calculate the remainder when 1443 is divided by 19. 18 What is the remainder when 5617 is divided by 1863? 28 What is the remainder when 60176 is divided by 3? 2 Calculate the remainder when 30738 is divided by 15345. 48 Calculate the remainder when 21307 is divided by 47. 16 Calculate the remainder when 67016 is divided by 15. 11 Calculate the remainder when 10167 is divided by 564. 15 What is the remainder when 350881 is divided by 353? 352 What is the remainder when 97519 is divided by 21? 16 Calculate the remainder when 2251 is divided by 939. 373 What is the remainder when 3549 is divided by 194? 57 What is the remainder when 1356 is divided by 109? 48 What is the remainder when 11945 is divided by 3953? 86 What is the remainder when 136052 is divided by 20? 12 What is the remainder when 287743 is divided by 47955? 13 What is the remainder when 44692 is divided by 187? 186 Calculate the remainder when 130189 is divided by 94. 93 Calculate the remainder when 303265 is divided by 101082. 19 What is the remainder when 22661 is divided by 76? 13 What is the remainder when 19860 is divided by 9697? 466 What is the remainder when 284659 is divided by 7? 4 Calculate the remainder when 45611 is divided by 49. 41 Calculate the remainder when 7088 is divided by 41. 36 What is the remainder when 4132 is divided by 1032? 4 Calculate the remainder when 38933 is divided by 1852. 41 What is the remainder when 3521 is divided by 703? 6 What is the remainder when 171211 is divided by 57041? 88 What is the remainder when 9506 is divided by 7879? 1627 Calculate the remainder when 1590 is divided by 214. 92 Calculate the remainder when 5976 is divided by 2923. 130 Calculate the remainder when 4270 is divided by 693. 112 Calculate the remainder when 55807 is divided by 18593. 28 Calculate the remainder when 7709 is divided by 1561. 1465 Calculate the remainder when 5711 is divided by 300. 11 Calculate the remainder when 627 is divided by 8. 3 Calculate the remainder when 12525 is divided by 42. 9 What is the remainder when 11421 is divided by 1630? 11 Calculate the remainder when 6761 is divided by 125. 11 Calculate the remainder when 32422 is divided by 134. 128 What is the remainder when 28792 is divided by 1107? 10 Calculate the remainder when 67831 is divided by 449. 32 What is the remainder when 98135 is divided by 43? 9 Calculate the remainder when 98861 is divided by 137. 84 Calculate the remainder when 5418 is divided by 74. 16 What is the rem
{ "pile_set_name": "DM Mathematics" }
/9 What is the nearest to -2/3 in 2/247, 3, 0.1, 1/5, 144, -23? 2/247 What is the nearest to -0.1 in 7/2, -3, 2/7, -718, 7, -4/9? -4/9 Which is the closest to -2/5? (a) -4 (b) -3994 (c) -14 (d) 2 (e) -0.9 (f) -0.5 f What is the closest to -111949 in 0.3, -5, -1445? -1445 Which is the nearest to 2/145? (a) -31 (b) 0.4 (c) -1/5 (d) -1 (e) -1/28 e What is the nearest to 0 in -2/17, -3, -142.6, -0.3, 46? -2/17 Which is the closest to 11? (a) 1/2 (b) 0.8 (c) -0.3 (d) 2 (e) 5 e What is the closest to 82 in 27/10, 0, 1, -1/9, 0.07? 27/10 Which is the closest to 0.048? (a) 4/5 (b) 0 (c) 0.5299 b Which is the nearest to -9? (a) 4 (b) 0 (c) -4.52 (d) -2/7 (e) -5/2 (f) 1 c Which is the nearest to -0.1? (a) 2/45 (b) -50 (c) -29 (d) 11 a What is the nearest to 1 in -2, -36, -0.1, -37293? -0.1 What is the nearest to -1/4 in 1/3, -14, 507, -40? 1/3 What is the nearest to 1/2 in 0.1, -1/5, 456, 5/6, -0.8? 5/6 What is the closest to -1 in 14, -5, 236, -15, -2/11? -2/11 What is the nearest to -32 in 6, 4, -0.06, -1/4, -0.3, 31? -0.3 What is the nearest to 2/5 in -3930/7, -1/3, 1, -1/7? -1/7 What is the closest to 92 in 4, -2/51, 38, 2/7? 38 Which is the closest to -1? (a) -10 (b) 0.34 (c) -274 b Which is the closest to -61631? (a) 0 (b) 66 (c) 8 a Which is the closest to 8? (a) -5 (b) -9/4 (c) -145 (d) -3 b Which is the closest to 28.3? (a) 3 (b) 5/207 (c) 0.5 (d) 55 a Which is the closest to 1/23? (a) -19 (b) -0.4 (c) 1.2 (d) 3.7 b What is the closest to 1/2 in 2.5, 350/19, 5, 4? 2.5 What is the closest to -1 in -7/3, 17, -372, -3, -0.4? -0.4 Which is the nearest to -1? (a) -95 (b) 0.4 (c) 345 (d) -6 b Which is the closest to 0.02? (a) -14306 (b) 4 (c) 4/9 c Which is the closest to -110/7? (a) -2 (b) 2 (c) 2/19 a Which is the nearest to 0.052? (a) 31 (b) 5 (c) -2/5 c What is the closest to -0.2 in 1.04, 1/4, -4198, -7, 5? 1/4 What is the closest to 2/9 in -2, -0.4, -34/11, -0.2? -0.2 Which is the nearest to 1/4? (a) -1 (b) 17 (c) -2 (d) -2/13 (e) 0.105767 e Which is the closest to 1? (a) -9/8 (b) 4 (c) -2/3 (d) -41/2 c Which is the nearest to 0.1? (a) 0 (b) -5 (c) -7/104 (d) 9 (e) -0.2 a Which is the nearest to 3? (a) 11/3 (b) 124.2 (c) -7.2 a Which is the nearest to -1/4? (a) 0.19 (b) -7 (c) 11 (d) 0.922 a What is the nearest to -1394 in 109, -1/6, 4, -1, -3, 0.3? -3 Which is the closest to -13? (a) -1/3 (b) -48 (c) 0.2 (d) 0.576 a What is the nearest to -1/3 in -126, -57, 3/7? 3/7 Which is the nearest to -1/3? (a) 0.5 (b) 4 (c) -352 (d) -4 (e) -0.4 e Which is the nearest to -2? (a) 2/15 (b) 11 (c) -3/8 (d) -4909 c Which is the nearest to 1? (a) -263430 (b) 1/9 (c) -3/8 b What is the nearest to -3 in 5, 795631, 0.1? 0.1 Which is the closest to 8? (a) -46/649 (b) -68 (c) 1 c What is the closest to -1/5 in -3/7, 24/7, 3, 0.4, -17? -3/7 Which is the nearest to -1/3? (a) 3 (b) -12885 (c) -895 a What is the closest to -55 in 2/9, 3/7, -3.4, 4, 1/3? -3.4 What is the closest to -3 in 4, -1397, -3, -4, 3? -3 What is the nearest to 1 in 20/3, -2/71, 89, -0.061? -2/71 What is the nearest to 0 in -0.1, -1, 1/13013044? 1/13013044 What is the nearest to 28 in 4, -3.3, -1.6, 95/11? 95/11 What is the closest to 34060 in 0.4, -3/2, 1/5? 0.4 Which is the closest to -2? (a) -1297537 (b) 2 (c) 0.4 (d) 4 c What is the closest to 0.2 in -0.5, -4, 169121, -0.33? -0.33 Which is the nearest to -3/4? (a) 1/63 (b) 1895 (c) -2/7 (d) -5 c Which is the closest to -18077/5? (a) 7 (b) 4 (c) 1/10 (d) -5 (e) 5 d Which is the closest to 131.9? (a) 3/76 (b) 0.1 (c) 0.4 (d) -2/7 (e) 3 e What is the closest to -1/4 in 5, -93/29, 2/7, 47/2? 2/7 What is the nearest to 240/17 in -2/5, -1/2, 4, -23? 4 What is the nearest to -3/43 in -1/387, -2/5, -3, -1/2? -1/387 Which is the closest to -118/5? (a) 4 (b) 1/2 (c) -3 (d) 2/5 (e) -2 c Which is the closest to 2? (a) 18.965 (b) 2/9 (c) -1 b Which is the nearest to -1? (a) 33 (b) -4/9 (c) -0.4 (d) 2 (e) -5 (f) -513/8 b Which is the closest to 0.7? (a) -17/41 (b) 0.1 (c) -4/3 (d) -0.4 (e) -76 (f) 4 b What is the closest to -2/5 in 1/1219, 1/7, 1/6, -573? 1/1219 Which is the nearest to -2/5? (a) 24 (b) -3043 (c) 2 (d) 5 (e) 3 c What is the nearest to 2 in 0.04, 5, -2/69, -3, 20/9? 20/9 Which is the closest to -1/6? (a) -3/4 (b) 343 (c) -0.38 c Which is the nearest to -0.2? (a) -0.33 (b) -0.44 (c) -0.1 (d) 57 (e) -1 c What is the nearest to -0.1 in -0.0682, -9/5, -2, -1556? -0.0682 Which is the nearest to -1? (a) -0.1 (b) -1 (c) -9308 (d) -1/8 (e) 52 b What is the nearest to 0.1 in -123, 6, -1/3, -10244? -1/3 Which is the closest to -60? (a) 39/8 (b) 2 (c) 0.4 (d) -2.7 d What is the nearest to -2/31 in 3/14, 7, 0.5, 120? 3/14 What is the nearest to -1/3 in -5/8, -112681, -4? -5/8 Which is the closest to -2/3? (a) 0.4 (b) 128.38 (c) 67 (d) -5 a Which is the closest to 9? (a) 5 (b) -1 (c) -2284 (d) -8 (e) 1/9 a What is the closest to 1/6 in -3, -2/877, -0.1, 4/7? -2/877 What is the closest to 5561 in -0.05, -31, -1? -0.05 Which is the nearest to 0.048? (a) -638/25 (b) -0.07 (c) -1/4 b Which is the nearest to -2/5? (a) -7 (b) 0.09 (c) -2/5 (d) 2/15 (e) -4/11 c Which is the closest to -58.7? (a) 0.019 (b) -1/3 (c) 2 (d) -2/19 b What is the nearest to -52/25 in -1/2, 0.5, -2, 0.05473? -2 Which is the nearest to 1? (a) -52 (b) -0.03 (c) -5 (d) 1204 b Which is the closest to 0.3? (a) 367 (b) 0.13444 (c) 0.4 c Which is the nearest to 1? (a) 2/11 (b) 36/3193 (c) -81 a Which is the nearest to 18753? (a) 3/5 (b) 0.3 (c) -148 a What is the closest to 6485 in 45, -0.2, -4/21, -2? 45 What is the closest to 6 in -1/248, 2/1941, 18? 2/1941 Which is the nearest to -1.4? (a) 8/13 (b) -4 (c) 1 (d) -14/3 a Which is the nearest to 4? (a) -4 (b) 1/53246 (c) 7 c Which is the closest to -21633998/5? (a) 4 (b) 5 (c) -2/9 c Which is the closest to 1? (a) 2 (b) 92508.7 (c) -4 a Which is the nearest to 2? (a) 2745 (b) 26/7 (c) 1/5 (d) 1/9 (e) -1 b What is the closest to 1 in -1/3, 240, 37? -1/3 Which is the closest to 1.48? (a) 2 (b) 3 (c) -9.325 a What is the closest to -8 in 1/6, 15/4, -2, 1591? -2 Which is the closest to 9/19? (a) -8.2 (b) -2 (c) 30/29 c Which is the closest to 13/2? (a) -6/13 (b) -5 (c) -183/26 (d) -3/2 (e) -0.1 (f) 0.4 f Which is the nearest to 0? (a) 3/8 (b) -7638 (c) -0.056 (d) -1/2 c What is the nearest to 2 in 0.399, 61, 16, -0.9? 0.399 Which is the closest to 47080? (a) 41 (b) -2 (c) 2/3 (d) 0.1 (e) 0 a What is the closest to 0 in 0.1, -0.5, 0, 2.539, -1/9? 0 What is the nearest to 2/5 in -3.3, -5, -7, -681? -3.3 Which is the closest to 157? (a) -0.3 (b) -2 (c) -0.5 (d) -315 (e) -3 (f) -1 a Which is the nearest to -0.03? (a) -2/9 (b) -5 (c) -16/251 (d) -1/5 c What is the closest to -11 in 0.01, 4974, 1/2? 0.01 What is the nearest to 0.1 in -1/1930, 2, 17, -3/2, 0.3, 0.1? 0.1 What is the closest to 18 in 0.5, -1566, -64? 0.5 Which is the nearest to -0.2? (a) 37.99 (b) 0.2 (c) 0 (d) 267 c What is the nearest to 1/6 in 3, 0.49, -43? 0.49 What is the nearest to -17 in -1/3, -316, 1, 25? -1/3 Which is the nearest to 242650? (a) -5 (b) 2 (c) 0.286 b Which is the closest to 0.1? (a) 1/3 (b) -0.06 (c) -4360 (d) -3/4 b What is the nearest to -0.2 in -1/2497850, -0.1, 4/7? -0.1 What is the nearest to 1.6 in -2802, -0.1, -1/8, 7/5? 7/5 What is the closest to 0.2 in 16, 5, 1/9, -2.95, 2/3, -686? 1/9 Which is the closest to -4/21? (a) 0.1 (b) -0.5 (c) 864 (d) 1/20 d Which is the closest to 3? (a) 380 (b) 7.7 (c) -22/3 b What is the nearest to 0.1 in -531876, -9/4, 4? -9/4 What is the closest to 39 in 2/9, -28, -0.0732, 0.2? 2/9 What is the closest to -37.8 in -5, -191, -0.07, -2/9? -5 What is the closest to -103 in 2/7, -7, -1.5, 60? -7 What is the closest to -2 in 52, 4, 1.7, -171? 1.7 Which is the nearest to 3? (a) 1 (b) 0 (c) -2/7 (d) 0.3 (e) 16 (f) -3.01 a Which is the nearest to 11? (a) 92 (b) -12 (c) -0.03 (d) 11 d What is the nearest to -3758 in 0, -0.5, 1148? -0.5 Which is the nearest to 545? (a) -1/42 (b) -1 (c) -21 (d) -0.3 a Which is the nearest to -3? (a) -1057 (b) 140 (c) -1/3
{ "pile_set_name": "DM Mathematics" }
l. Let h be (-9)/((-18)/32) - 4. Suppose -2*f - 4*u + 3*u = -h, -f - 2*u = -12. Solve f*n + l = 4 for n. 1 Let o = -602 + 616. Solve 10*m = -6 - o for m. -2 Let d(j) = j**3 - 7*j**2 + 22. Let h be d(7). Solve 0 = 5*v - h - 3 for v. 5 Let x(v) = 3*v - v**2 + 4*v - 68 + 64. Let q be x(6). Solve 6 = s + q*s for s. 2 Let m be (-3)/((-6)/7) + (-101)/202. Let b = 7 - 6. Solve -b = -d - m for d. -2 Let d = 1 + 2. Suppose -2*n - 2*n + 4*f = 4, 0 = -d*f. Let q = n - -4. Solve -u = -2 - q for u. 5 Let i be (18/(-4))/(4/32*-3). Suppose -110*c + i = -107*c. Solve 0 + c = s for s. 4 Suppose -12*o - 2*h = -17*o + 220, h = -5*o + 220. Suppose -16*w + o = -20. Solve -2*d - w = -6 for d. 1 Let c(d) = -d**2 + 2*d - 2 - d + 0*d**2 - 2*d**2 - d**3. Let h be c(-3). Let n be -3 + 1 - h*1. Solve -19 = -4*o - n for o. 4 Let j be (-4)/(-4)*(-2 + 5 + -3). Solve -x + 0*x - 5 = j for x. -5 Let p(o) = -o**2 - 9*o + 12. Let r be p(-10). Suppose -3*a = 3, r*y + 0*y + 3*a - 37 = 0. Solve -u + y = -6*u for u. -4 Let q(a) = -a**3 + 15*a**2 + 2*a - 21. Let p be q(15). Suppose p*k = 5*k. Let r = 8 - 5. Solve 6*f - r*f - 9 = k for f. 3 Suppose -7*s + 3*s + 24 = 0. Suppose s = k + k. Solve 1 - k = 2*n for n. -1 Suppose 4*j = 45 - 13. Let h = j + 5. Let d(c) = -c**2 - 35*c. Let r be d(-35). Solve -4*m + 7 + h = r for m. 5 Let f be (-18)/(1 - (3 + -1)). Let v be (-1 - -2) + 5/1. Solve -v = -3*q - f for q. -4 Let v be 34/10 - 2/5. Suppose -7*r = -v*r - 56. Let d = r + -14. Solve -n - n - 4 = d for n. -2 Let y(v) = -v**3 - 13*v + 2 - 1 + 10 - 4*v**2 + 15*v. Let n be y(-4). Solve -5*x - 6 = -n*x for x. -3 Let y be (-2)/(0 + 2 + -3). Suppose 2*k - y*d - 14 = 0, 2*k + 9 + 5 = -5*d. Solve k*c + 13 = -2 for c. -5 Let n = 13 - 8. Suppose -1 = -r + n. Suppose -4*o = -r - 2. Solve i - o = -0 for i. 2 Suppose -4*j - 5 = 2*o - 13, 0 = 4*j + 4*o. Solve -11 = -j*h - 23 for h. -3 Suppose -9 = 229*x - 232*x. Solve -12 = -x*l - 9*l for l. 1 Let n(f) = 3*f + 18. Let y be n(-3). Suppose 5*t - 88 = 2. Let m = t - y. Solve -7 = 4*s + m for s. -4 Suppose -2 = -4*a + 18. Suppose -5*o = -5, 3*g - a*g = -o - 5. Solve -g*r + 6*r = -3 for r. -1 Suppose 8 - 12 = 4*n. Let x = -1 - n. Solve -6*w + w = x for w. 0 Let d = 45 + -42. Solve -8*m = -7*m - d for m. 3 Let z = -4 + 9. Let m be (3/z)/(2/70). Let y = -6 + m. Solve y = 2*c + c for c. 5 Let a(i) = 8*i - 30 + 2*i**2 + 42 - i**2. Let u be a(-7). Solve -u*p + p = -4 for p. 1 Let i(q) = -q**3 - 3*q**2 + q + 1. Let t be i(1). Let m = t - -4. Solve -m = -j - 1 for j. 1 Suppose 4*u - 2*u = t + 57, 0 = -2*u - 4*t + 32. Let n(i) = i**3 - 25*i**2 - 27*i + 28. Let f be n(u). Solve 0 = 4*y + 14 + f for y. -4 Let s = 6 - -7. Let m be s/(-13)*1*-6. Suppose -5*v = -m*v. Solve v = -6*n + 3*n for n. 0 Suppose -4*w + 20 = w. Suppose g + 14 = 3*f, -5*f + 10 = g - 0. Let j be (-2)/2 - (-21 + f + 2). Solve -x + j = -w*x for x. -5 Suppose -4*t + 14 = 3*o, -4*t + 22*o - 18*o = 0. Solve -17 + t = 5*p for p. -3 Let l(q) = -q**2 + q + 15. Let k be l(4). Suppose 3*x = -2*u + 6*x + 4, -4*u + k*x + 8 = 0. Solve 5*g - u = 8 for g. 2 Let q be -3 + (3 - -80 - -4). Let o = -81 + q. Solve 0*r + o = r for r. 3 Let b(r) = -3*r**3 + 26*r**2 - 2. Let c be b(8). Solve 5*z = -c + 121 for z. -1 Let j(q) = -q**2 + 8*q - 11. Let n be j(3). Let h = -9 + 32. Solve -n*c + 3 = h for c. -5 Let p(r) = r**2 + 1. Let x(o) = -4*o**2 + 8*o - 10. Let c(y) = -3*p(y) - x(y). Let v be c(6). Let g be ((-8)/20)/(1/v). Solve -g*b - 1 = 5 for b. -3 Let y = -89 + 91. Suppose 16 = 5*j + y*h, 5*h - 8 = 7. Solve -3*g = j + 13 for g. -5 Suppose 0 = 20*j - 15*j + 15. Let g(o) = o**3 + 5*o**2 + 6*o + 5. Let x be g(j). Solve -2*p + x*p - 9 = 0 for p. 3 Let r(p) = 2*p + 13. Let h be -3 + 8/4 - 4. Let s be r(h). Solve -2*i - s*i = -10 for i. 2 Let w = 642 - 637. Solve 0 = q - w + 2 for q. 3 Let p = 2706 + -2643. Solve 53*v - 40 = p*v for v. -4 Suppose 29 = -71*n + 384. Let w(p) = -p - 5. Let v be w(-5). Solve n*y - 7 - 3 = v for y. 2 Suppose 4*f + 26 = 5*x, -12 = -3*x - x + f. Solve 5*n + 9 = x*n for n. -3 Suppose h - 28 = -0*h. Let w be (-120)/(-16)*h/5. Suppose -46 - w = -4*f. Solve 0 = -4*v + 6 - f for v. -4 Suppose t = -5*t - 9*t. Solve 4*q + 3*q = t for q. 0 Suppose -2*y - 3*u + 7 = 0, 25 = 4*y - 4*u - 19. Suppose -3*n - y = -q + n, -5*q + 2*n = -40. Solve -5*r - q = -28 for r. 4 Suppose -38*m = -29 - 47. Solve m*n - 6*n = 16 for n. -4 Suppose -3*c - 109 = 2*q, 4*q + 70 = -0*c - 2*c. Let k = c + 40. Solve k*g + 2*g = 15 for g. 3 Let f = 58 - 44. Let k(t) = 4*t + 6. Let g be k(-5). Let y = g + f. Solve -q + y*q = -3 for q. 3 Suppose -93 = -4*q + 5*q. Let n = q + 101. Solve y + n = -y for y. -4 Let n = 4 - 0. Suppose 0 = n*x - 1 - 27. Solve x + 1 = -2*v for v. -4 Let r(g) = -6*g - 13. Let o be (3/(-3))/((-4)/24*-2). Let q be r(o). Solve b = -0*b + q for b. 5 Suppose 4*s - 294 = -6. Suppose 4*z = s - 12. Solve 0 = 3*l - z + 6 for l. 3 Let d(h) = 22*h - 46. Let f be d(3). Solve f*t - 6*t = -28 for t. -2 Suppose 6*g = 2*g - 20. Let q(f) = f + 5. Let k be q(g). Suppose 35 = -2*i + 41. Solve k = i*m - 0*m + 3 for m. -1 Let t be ((-2)/(-3))/((-2)/(-9)). Suppose t*w - w = 2. Suppose 3*u = 11 - 2. Solve 4*z + w + u = 0 for z. -1 Let g(z) = z**2 - 2*z + 2. Let w be g(3). Suppose 0*h = -w*h - 25. Let r = 0 - h. Solve r*y = -0*y - 25 for y. -5 Let u be (11 + -4)/((-2)/22). Let b = u - -81. Solve 5 = b*p - 3*p for p. 5 Let x = 2043 + -1967. Solve -x = -2*b - 82 for b. -3 Let v(o) = -o**2 - 7*o - 8. Let h be v(-6). Let w(r) = 11*r - 2. Let k be w(h). Let p = -14 - k. Solve 0*a - 2*a = -p for a. 5 Suppose 3*b + 2*v = 6, -4*v + 2 = b - 7*v. Solve b*l - 3*l = -4 for l. 4 Suppose 0 = -26*u + 29*u - 18. Solve 2*f + u*f - f = 0 for f. 0 Let x(f) = -f**2 - 10*f + 3. Let g be x(-10). Suppose -2*a - c + g = 0, 2*a + 2*a - 2*c - 2 = 0. Let p be 29/(-116) - (-45)/(-8)*-2. Solve a = 2*v + p for v. -5 Suppose 2*v = -3*t - 0 - 3, -5*t = 2*v + 5. Let f be -2*1*(-2)/4. Let p(z) = -14*z**2 + 154*z. Let r be p(11). Solve v = -n - f - r for n. -1 Suppose -p + 4 = 2*o - 11, -15 = -3*p. Suppose -16*d + 21*d + 4*r - 36 = 0, 0 = -r + 4. Solve n - o*n - d = 0 for n. -1 Let s be 4/10 + 2/(-5). Solve -5*b + 9 + 11 = s for b. 4 Suppose -18 + 3 = -3*m, 8 = -y + 2*m. Solve -3*r - y = -r for r. -1 Let c(z) = -3*z - 3. Let m be c(-9). Let w be (14/4)/7*m. Suppose 15*r - 12 = w*r. Solve 17 = r*f - 3 for f. 5 Let d be 3328/(-39)*3/(-2). Let b be (-46)/(-16) - (-16)/d. Solve b*j + 5 = -1 for j. -2 Suppose -20 - 7 = -3*t. Suppose 6*l - r - 11 = l, -l + 7 = -5*r. Suppose -b - t = -l*z - 2*z, -4*z + 4*b = 0. Solve 2*q + z + 5 = 0 for q. -4 Let y(r) = r**2 - 8*r + 11. Let c be y(7). Let s be (4/c)/(1/(-32)). Let j = 32 + s. Solve g - 6*g + 15 = j for g. 3 Suppose -5*h = -4*t - 50, 6*h - 4 = 2*h - 4*t. Solve -4*z + 6 = -h for z. 3 Let p(g) = -3*g + 114 - 116 + 0*g**2 + g**2. Let q be p(-1). Solve 0*o - q*o + 6 = 0 for o. 3 Suppose -9*h + 1 + 71 = 0. Solve 7 = h*u + 31 for u. -3 Let f(g) = 2*g - 16. Let w be f(11). Suppose -w*i = -9*i - 6. Let o be 18/9 + i/2. Solve 0 - o = s for s. -1 Let v(j) = 4*j + 2. Let q be v(4). Let k = 25 - q. Let d = k + -5. Solve -5*i + 12 = -d*i for i. 4 Let n(s) = 12*s + 205. Let k be n(-16). Solve -k*a + 2 = -11*a for a. 1 Let d(i) = i - 2. Let l be d(4). Let o(g) = -3*g + 2*g + 11 - g**l + 9. Let y be o(0). Solve 0 = -0*b - 4*b + y for b. 5 Let v = -3069 + 3091. Solve v*s + 30 = 32*s for s. 3 Let l = 13 - 8. Let a = 14 + -12. Suppose a*q - 4*h - 1 = 19, -2*q + 12 = -2*h. Solve l*k = q*k - 3 for k. -1 Let a(d) = 4*d**2 + d + 4. Let r be a(3). Suppose -55 + r = 3*p. Let s be (0 - 3)/(3 + p). Solve 2*v + s = v for v. -3 Let r = 6 + -1. Suppose 0 = -4*z + r*z - 6. Suppose -d + 1 = 0, 4*j + 5*d + 1 = z. Solve j*g = g for g. 0 Let i(c) = -c**3 - 8*c**2 - 6*c + 2. Let v be i(-5). Let l = v + 28. Let z be l/20 - (-3)/4. Solve z*x + 10 = 5*x for x. 2 Suppose -4*b - 2*g + 55 - 5 = 0, b + 4*g - 30 = 0. Let i = 12 - 4. Solve i*d = b*d for d. 0 Suppose -18*p + p + 68 = 0. Solve 5*i = -19 + p for i. -3 Let f(l) = -15*l**3 - l**2 + 10*l + 10. Let z be f(-1). Solve 0 = z*d - 18*d - 8 for d. -2 Suppose 1 - 9 = -y - 2*d, 5*d = y + 13. Suppose 0*n = -y*n + 4. Suppose -7*f + n*f + 35 = -m, 2*f - 7 = -m. Solve -2*r - r = -f for r. 2 Let q(l) = -2*l - 1. Let g b
{ "pile_set_name": "DM Mathematics" }
151 to the nearest integer? 276 What is 372928 to the power of 1/6, to the nearest integer? 8 What is 9562012 to the power of 1/2, to the nearest integer? 3092 What is 15562014 to the power of 1/2, to the nearest integer? 3945 What is the cube root of 66011 to the nearest integer? 40 What is the seventh root of 6329632 to the nearest integer? 9 What is 460444 to the power of 1/10, to the nearest integer? 4 What is the square root of 220016 to the nearest integer? 469 What is the square root of 10930901 to the nearest integer? 3306 What is the square root of 10970830 to the nearest integer? 3312 What is the third root of 4493409 to the nearest integer? 165 What is 212519 to the power of 1/2, to the nearest integer? 461 What is 538761 to the power of 1/2, to the nearest integer? 734 What is 9491069 to the power of 1/3, to the nearest integer? 212 What is the square root of 19502260 to the nearest integer? 4416 What is 9220050 to the power of 1/5, to the nearest integer? 25 What is 997241 to the power of 1/8, to the nearest integer? 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5 What is 17357657 to the power of 1/10, to the nearest integer? 5 What is 369325 to the power of 1/7, to the nearest integer? 6 What is the ninth root of 23177402 to the nearest integer? 7 What is 2178606 to the power of 1/3, to the nearest integer? 130 What is 7431299 to the power of 1/4, to the nearest integer? 52 What is the cube root of 2258008 to the nearest integer? 131 What is 1135262 to the power of 1/4, to the nearest integer? 33 What is the third root of 270513 to the nearest integer? 65 What is the third root of 300221 to the nearest integer? 67 What is the seventh root of 355927 to the nearest integer? 6 What is 360016 to the power of 1/2, to the nearest integer? 600 What is the seventh root of 11357449 to the nearest integer? 10 What is the third root of 866284 to the nearest integer? 95 What is the fifth root of 115838 to the nearest integer? 10 What is 295428 to the power of 1/2, to the nearest integer? 544 What is the cube root of 9789754 to the nearest integer? 214 What is 957350 to the power of 1/2, to the nearest integer? 978 What is the square root of 70276 to the nearest integer? 265 What is the fourth root of 151792 to the nearest integer? 20 What is the cube root of 8751345 to the nearest integer? 206 What is 222338 to the power of 1/6, to the nearest integer? 8 What is 53182 to the power of 1/3, to the nearest integer? 38 What is 390744 to the power of 1/2, to the nearest integer? 625 What is 85671 to the power of 1/2, to the nearest integer? 293 What is 635106 to the power of 1/3, to the nearest integer? 86 What is 115528 to the power of 1/4, to the nearest integer? 18 What is 2091010 to the power of 1/3, to the nearest integer? 128 What is 7168394 to the power of 1/10, to the nearest integer? 5 What is the third root of 6350703 to the nearest integer? 185 What is 1897525 to the power of 1/5, to the nearest integer? 18 What is 9302517 to the power of 1/6, to the nearest integer? 15 What is 1137878 to the power of 1/6, to the nearest integer? 10 What is 329245 to the power of 1/2, to the nearest integer? 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89 What is the third root of 277935 to the nearest integer? 65 What is the eighth root of 231030 to the nearest integer? 5 What is the tenth root of 1603664 to the nearest integer? 4 What is 120874 to the power of 1/3, to the nearest integer? 49 What is the seventh root of 45221 to the nearest integer? 5 What is 3663803 to the power of 1/3, to the nearest integer? 154 What is 8502188 to the power of 1/4, to the nearest integer? 54 What is 7438453 to the power of 1/10, to the nearest integer? 5 What is the square root of 217850 to the nearest integer? 467 What is the square root of 331614 to the nearest integer? 576 What is 801416 to the power of 1/10, to the nearest integer? 4 What is 1815038 to the power of 1/6, to the nearest integer? 11 What is the fourth root of 967115 to the nearest integer? 31 What is 14028357 to the power of 1/3, to the nearest integer? 241 What is the square root of 475273 to the nearest integer? 689 What is the square root of 1845
{ "pile_set_name": "DM Mathematics" }
7. -2*(a + 5)*(a + 27)/7 Solve 5*q**2 - 1320*q + 87120 = 0. 132 Suppose 54289*u**2/10 + 2796*u/5 + 72/5 = 0. Calculate u. -12/233 Suppose -361*f**5/2 - 13946*f**4 - 278042*f**3 - 334704*f**2 - 103968*f = 0. What is f? -38, -12/19, 0 Let u**3 - 3*u**2 - 22*u + 24 = 0. What is u? -4, 1, 6 Suppose p**5 + 2*p**4 - 3*p**3 - 8*p**2 - 4*p = 0. What is p? -2, -1, 0, 2 Find f, given that 3*f**4 - 279*f**3 + 1047*f**2 + 1899*f - 2670 = 0. -2, 1, 5, 89 Factor 2*c**3 - 84*c**2 + 882*c. 2*c*(c - 21)**2 Factor -2*z**5 + 48*z**4 + 212*z**3 + 328*z**2 + 222*z + 56. -2*(z - 28)*(z + 1)**4 What is b in -2*b**5/5 - 52*b**4/5 - 458*b**3/5 - 1784*b**2/5 - 608*b - 1664/5 = 0? -13, -4, -1 Factor -5*k**2 - 2185*k. -5*k*(k + 437) Let 14*s**5/3 - 74*s**4/3 + 16*s**3 + 104*s**2/3 - 32*s/3 = 0. Calculate s. -1, 0, 2/7, 2, 4 Factor y**3/2 + 5*y**2 + 14*y + 12. (y + 2)**2*(y + 6)/2 Determine q, given that 4*q**2 + 76*q - 1488 = 0. -31, 12 Suppose 4*k**5/7 + 244*k**4/7 - 4*k**3/7 - 244*k**2/7 = 0. Calculate k. -61, -1, 0, 1 Factor g**3/5 + 8*g**2 - 1121*g/5. g*(g - 19)*(g + 59)/5 Solve 5*f**3 + 80*f**2 + 205*f + 130 = 0. -13, -2, -1 Suppose -5*l**3 - 2490*l**2 = 0. Calculate l. -498, 0 Factor -2*i**2/7 + 15388*i/7 - 29598818/7. -2*(i - 3847)**2/7 Factor -q**3/2 - 199*q**2 - 37961*q/2 + 164836. -(q - 8)*(q + 203)**2/2 Determine q so that -2*q**2/3 - 166*q/3 + 56 = 0. -84, 1 Find f, given that -f**3/2 + 5*f**2 + f/2 - 5 = 0. -1, 1, 10 Factor -o**5 - 7*o**4 - 12*o**3 + 4*o**2 + 16*o. -o*(o - 1)*(o + 2)**2*(o + 4) Let 5*b**3 - 80*b**2 + 145*b - 70 = 0. What is b? 1, 14 Find o such that 15*o**4 + 249*o**3 - 42*o**2 - 2904*o + 1152 = 0. -16, -4, 2/5, 3 Let 4*b**2 - 64*b + 112 = 0. Calculate b. 2, 14 Factor -2*v**3 + 7232*v**2/3 - 725610*v - 484812. -2*(v - 603)**2*(3*v + 2)/3 Determine k so that 4*k**5 + 20*k**4 + 28*k**3 + 12*k**2 = 0. -3, -1, 0 Factor -2*b**5/7 + 24*b**4/7 - 60*b**3/7 + 8*b**2 - 18*b/7. -2*b*(b - 9)*(b - 1)**3/7 Factor 12*s**4 - 380*s**3 + 2944*s**2 + 1024*s. 4*s*(s - 16)**2*(3*s + 1) Factor -k**2/3 + 19*k/3 - 88/3. -(k - 11)*(k - 8)/3 Factor -9*r**4 + 15*r**3 - 7*r**2 + r. -r*(r - 1)*(3*r - 1)**2 Factor 2*s**3/11 + 16*s**2/11 + 32*s/11. 2*s*(s + 4)**2/11 Suppose -4*q**5 + 115*q**4/2 - 17*q**3 - 115*q**2/2 + 21*q = 0. What is q? -1, 0, 3/8, 1, 14 Factor 2*j**5 + 10*j**4 - 6*j**3 - 34*j**2 - 20*j. 2*j*(j - 2)*(j + 1)**2*(j + 5) Find d such that -98*d**5/5 - 1344*d**4/5 - 4146*d**3/5 - 5372*d**2/5 - 3192*d/5 - 144 = 0. -10, -1, -6/7 Determine d, given that -2*d**5/5 + 28*d**4/5 - 144*d**3/5 + 64*d**2 - 256*d/5 = 0. 0, 2, 4 Determine t, given that 2*t**3/3 - 10*t**2/3 = 0. 0, 5 Factor -9*d**4 + 78*d**3 - 111*d**2 + 42*d. -3*d*(d - 7)*(d - 1)*(3*d - 2) Factor -t**3 + 8*t**2 + 19*t + 10. -(t - 10)*(t + 1)**2 Factor -18*i**3 + 58*i**2 - 48*i + 8. -2*(i - 2)*(i - 1)*(9*i - 2) Suppose -n**3/4 - 3*n**2/2 - 9*n/4 - 1 = 0. What is n? -4, -1 Find w, given that -3*w**2 + 48*w - 45 = 0. 1, 15 Factor 2*g**2/7 - 1760*g/7. 2*g*(g - 880)/7 Suppose 2*y**3/5 + 218*y**2/5 + 216*y/5 = 0. Calculate y. -108, -1, 0 Find r such that -6*r**2 - 10996*r - 7328 = 0. -1832, -2/3 Let 400*d**5 - 1280*d**4 - 156*d**3 + 1268*d**2 - 244*d + 12 = 0. What is d? -1, 1/10, 1, 3 Factor -2*k**2/17 - 412*k/17 - 410/17. -2*(k + 1)*(k + 205)/17 Suppose -r**2/2 - 22*r - 242 = 0. What is r? -22 Solve -35*v**4/2 - 73*v**3 - 78*v**2 + 4*v + 16 = 0. -2, -4/7, 2/5 Determine k so that 2*k**2/3 + 344*k/3 + 14792/3 = 0. -86 Let -10*c**5 - 18*c**4 + 4*c**3 + 20*c**2 + 6*c - 2 = 0. What is c? -1, 1/5, 1 Find k, given that 3*k**3/2 - 9*k**2/2 - 6*k = 0. -1, 0, 4 Factor -3*n**4 + 45*n**3 - 189*n**2 + 147*n. -3*n*(n - 7)**2*(n - 1) Suppose n**4/4 - 35*n**3/4 + 67*n**2/4 - 33*n/4 = 0. Calculate n. 0, 1, 33 Solve 25*q**5 + 135*q**4 + 275*q**3 + 265*q**2 + 120*q + 20 = 0. -2, -1, -2/5 Factor 3*g**2 - 141*g. 3*g*(g - 47) Find k, given that -4*k**4/5 + 1172*k**3/5 + 3544*k**2/5 + 2368*k/5 = 0. -2, -1, 0, 296 What is x in -2*x**3 - 6082*x**2 - 24304*x - 24296 = 0? -3037, -2 Factor -d**3/2 - 1497*d**2/2 - 747003*d/2 - 124251499/2. -(d + 499)**3/2 Let -c**5/4 + 3*c**4/2 + c**3/4 - 19*c**2/2 + 8 = 0. Calculate c. -2, -1, 1, 4 Factor 2*w**3/7 - 456*w**2/7 - 918*w/7 - 460/7. 2*(w - 230)*(w + 1)**2/7 Solve 5*w**5 + 80*w**4 - 105*w**3 - 320*w**2 + 340*w = 0 for w. -17, -2, 0, 1, 2 Let 2*p**3 + 40*p**2 - 42*p = 0. What is p? -21, 0, 1 Let -3*c**2/2 - 1335*c - 594075/2 = 0. Calculate c. -445 Factor 3*w**2 + 30*w - 225. 3*(w - 5)*(w + 15) Factor -2*f**2/9 - 26*f/9 - 8. -2*(f + 4)*(f + 9)/9 Factor -2*g**2 + 2*g + 40. -2*(g - 5)*(g + 4) Determine u so that -8*u**3 + 580*u**2 - 288*u = 0. 0, 1/2, 72 Suppose 3*m**5 - 105*m**4 + 969*m**3 - 867*m**2 = 0. Calculate m. 0, 1, 17 Factor 3*s**4 + 66*s**3 + 531*s**2 + 1836*s + 2268. 3*(s + 3)*(s + 6)**2*(s + 7) Factor 4*y**2/7 - 284*y/7. 4*y*(y - 71)/7 Factor -13778*n**2/5 - 332*n/5 - 2/5. -2*(83*n + 1)**2/5 Factor -5*a**4/3 - 13*a**3/3 - 11*a**2/3 - a. -a*(a + 1)**2*(5*a + 3)/3 What is i in 2*i**3/7 - 100*i**2/7 = 0? 0, 50 Factor -2*u**3 + 26*u + 24. -2*(u - 4)*(u + 1)*(u + 3) Factor 24*o**3/7 + 429*o**2/7 + 405*o/7. 3*o*(o + 1)*(8*o + 135)/7 Determine m so that -2*m**3/3 + 566*m**2/3 - 1126*m/3 + 562/3 = 0. 1, 281 Factor 2*h**2/3 + 1510*h/3. 2*h*(h + 755)/3 What is l in 2*l**3/9 - 20*l**2/9 - 2*l/9 + 20/9 = 0? -1, 1, 10 Solve 4*m**4/5 - 24*m**3/5 - 28*m**2/5 = 0 for m. -1, 0, 7 Find v such that -3*v**3/5 + 3*v**2/5 + 18*v/5 = 0. -2, 0, 3 Solve -3*s**3/4 + 9*s**2/4 + 9*s/2 - 6 = 0 for s. -2, 1, 4 Factor -h**3/5 + 23*h**2/5 - 107*h/5 + 17. -(h - 17)*(h - 5)*(h - 1)/5 Determine z so that 5*z**4 - 14*z**3 - 83*z**2 - 76*z - 12 = 0. -2, -1, -1/5, 6 What is c in -c**5 + 260*c**4 + 527*c**3 - 782*c**2 - 1052*c + 1048 = 0? -2, 1, 262 Factor -6*y**2 + 381*y - 189. -3*(y - 63)*(2*y - 1) Let 5*s**5 + 40*s**4 + 75*s**3 - 100*s**2 - 380*s - 240 = 0. Calculate s. -4, -3, -2, -1, 2 Factor -t**3/3 + 13*t**2/3 + 14*t/3. -t*(t - 14)*(t + 1)/3 What is o in 10*o**4/7 - 124*o**3/7 + 16*o**2 + 444*o/7 + 198/7 = 0? -1, -3/5, 3, 11 Factor -3*g**3 + 3*g**2 + 48*g - 48. -3*(g - 4)*(g - 1)*(g + 4) Factor -13*q**3/4 - 20*q**2 - 3*q. -q*(q + 6)*(13*q + 2)/4 Determine s, given that -22*s**2/19 - 12*s/19 = 0. -6/11, 0 Determine p so that -p**2/2 + 9*p + 19/2 = 0. -1, 19 Determine z, given that -z**5 - 10*z**4 - 32*z**3 - 32*z**2 = 0. -4, -2, 0 Factor 2*k**2 + 5772*k + 4164498. 2*(k + 1443)**2 Find i such that i**3/4 + 61*i**2/4 + 15*i = 0. -60, -1, 0 Factor 4*h**2 - 440*h + 864. 4*(h - 108)*(h - 2) Solve -5*y**4/4 - 11310*y**3 - 38374830*y**2 - 57869243640*y - 32725057278420 = 0 for y. -2262 Solve -3*j**5 + 138*j**4 - 1584*j**3 - 138*j**2 + 1587*j = 0 for j. -1, 0, 1, 23 Factor 4*x**2 + 4208*x + 4204. 4*(x + 1)*(x + 1051) Determine t so that -975*t**5/2 - 9385*t**4/4 - 6261*t**3/2 - 6087*t**2/4 - 253*t - 3 = 0. -3, -1, -2/5, -1/78 Determine c so that 2*c**3/5 + 194*c**2/5 - 160*c + 808/5 = 0. -101, 2 Determine t, given that 5*t**4 + 530*t**3 + 4440*t**2 + 7150*t - 12125 = 0. -97, -5, 1 Factor -2*w**2 + 22*w - 48. -2*(w - 8)*(w - 3) Find j such that -2*j**3/17 + 122*j**2/17 - 70*j - 22050/17 = 0. -9, 35 Solve 2*r**4/3 + 146*r**3 + 9638*r**2 + 312050*r/3 - 5916468 = 0 for r. -79, 18 Factor -4*h**2 - 7464*h + 7468. -4*(h - 1)*(h + 1867) Factor -2*q**2/7 + 206*q/7 + 208/7. -2*(q - 104)*(q + 1)/7 Suppose 15*y**4 + 175*y**3 - 60*y**2 = 0. Calculate y. -12, 0, 1/3 Factor -4*u**3/5 + 8*u**2 + 92*u/5 - 528/5. -4*(u - 11)*(u - 3)*(u + 4)/5 Factor 3*y**2 + 129*y + 1218. 3*(y + 14)*(y + 29) Let -2*m**2/3 + 454*m/9 + 152/9 = 0. What is m? -1/3, 76 Solve -18*g**2 - 9140*g + 2032 = 0 for g. -508, 2/9 Solve -10*x**3/7 + 86*x**2/7 - 208*x/7 + 96/7 = 0 for x. 3/5, 4 Suppose 4*o**5 - 4*o**4 - 72*o**3 - 56*o**2 + 68*o + 60 = 0. Calculate o. -3, -1, 1, 5 Suppose -3*i**4/7 + 17*i**3/7 + 51*i**2/7 - 285*i/7 - 100/7 = 0. Calculate i. -4, -1/3, 5 Factor -3*b**2 - 78*b - 144. -3*(b + 2)*(b + 24) Factor -206*w**2/13 - 4*w/13. -2*w*(103*w + 2)/13 Factor 7*n**5/5 + 13*n**4 + 228*n**3/5 + 368*n**2/5 + 256*n/5 + 48/5. (n + 2)**3*(n + 3)*(7*n + 2)/5 What is j in -j**4 + 100*j**3 - 3172*j**2 + 32448*j = 0? 0, 26, 48 Determine n so that 2*n**2/3 - 2012*n/3 + 506018/3 = 0. 503 Solve -c**5/5 - 49*c**4/5 + 6*c**3/5 + 302*c**2/5 + 79*c + 147/5 = 0. -49, -1,
{ "pile_set_name": "DM Mathematics" }
*u. -697278 Find the second derivative of -2*v**2*w**2 - 7*v**2*w + 2*v**2 + 2*v*w**2 - 63*v + 24051*w**2 wrt w. -4*v**2 + 4*v + 48102 Find the second derivative of -2*p**5 + p**4 - 111611*p**3 - 74453*p. -40*p**3 + 12*p**2 - 669666*p Find the third derivative of 288264*z**4 + 2*z**3 - 4*z**2 - 20139*z + 1 wrt z. 6918336*z + 12 Find the third derivative of -105321*m**2*n**3*o - 7*m**2*n**2 + 884*m**2*n*o - n**2*o - 6*n**2 wrt n. -631926*m**2*o What is the second derivative of 1529424*f**3 - 31222*f + 1 wrt f? 9176544*f Find the third derivative of -37149*u**5 - 256*u**2 - 46*u. -2228940*u**2 Differentiate 83*b**4 - 135*b**3*t + b - 6*t - 161557 wrt b. 332*b**3 - 405*b**2*t + 1 What is the first derivative of -2*y**3 - 8341*y**2 + 2*y + 100283 wrt y? -6*y**2 - 16682*y + 2 What is the second derivative of -163*b*k**3 + 30785*b*k + b - 2*k**4 + 2*k**2 wrt k? -978*b*k - 24*k**2 + 4 Find the third derivative of 32397*l**3 + 27720*l**2 wrt l. 194382 Differentiate -20929*t - 93324 with respect to t. -20929 Differentiate -j**3 + 23*j**2 - 24868*j + 2496333 wrt j. -3*j**2 + 46*j - 24868 What is the third derivative of 13877*c**2*h**5 - 17*c**2*h**2 + 3*c**2*h - 196*c**2 - 4*c*h**6 wrt h? 832620*c**2*h**2 - 480*c*h**3 Find the first derivative of b**3*f - 51881*b**3 + 2291*b*f + 4*f wrt f. b**3 + 2291*b + 4 What is the second derivative of 784822*v**2 - 651617*v? 1569644 Find the second derivative of -2848*n**3 - 125*n**2 - 2213017*n wrt n. -17088*n - 250 Find the third derivative of 127814*a**4 - 7*a**2 - 7864 wrt a. 3067536*a What is the third derivative of b**2*n**4 + 230*b**2 - 525*b*n**4 - 7*b*n**3 + 40*n**2 wrt n? 24*b**2*n - 12600*b*n - 42*b Find the third derivative of -1217033*a**4 - 2762*a**2 + 123*a. -29208792*a Differentiate -z**4 - z**3 + 157*z**2 - 837*z - 13637. -4*z**3 - 3*z**2 + 314*z - 837 What is the second derivative of 2*j**5 - j**4 + 5*j**3 + 163*j**2 + 323053*j? 40*j**3 - 12*j**2 + 30*j + 326 What is the third derivative of 32306*p**3 + 354*p**2 - 3*p - 12 wrt p? 193836 Find the first derivative of 446055*s**3 + s**2 - 342392. 1338165*s**2 + 2*s What is the third derivative of -15896*w**4 + 4023*w**2 + 2? -381504*w Find the third derivative of -4341*t**3*z**3 + 2*t**3*z**2 + 3*t**3*z - 9*t**2*z**3 - 6*t**2*z**2 + 306 wrt t. -26046*z**3 + 12*z**2 + 18*z What is the derivative of -265*d**3*i + 1120074*d**3 + 2299*d*i wrt i? -265*d**3 + 2299*d What is the first derivative of -225981*x**2 - 169762? -451962*x Find the first derivative of -134057*l*o**3 + 178159*l wrt o. -402171*l*o**2 What is the second derivative of -715099*m**2*t - 74*m*t + 1007*t wrt m? -1430198*t What is the second derivative of -v**4 + v**3 + 39*v**2 - 44*v + 28 wrt v? -12*v**2 + 6*v + 78 What is the first derivative of -a*q**4 + 96387*a*q**3 - 1162033*a wrt q? -4*a*q**3 + 289161*a*q**2 What is the third derivative of -15*g**4 - 82785*g**3 - 37*g**2 - 3273*g - 3? -360*g - 496710 What is the derivative of -1498*s**4 - 216*s**2 + 610132 wrt s? -5992*s**3 - 432*s Differentiate 83026*f*h**2*o - 60944*h**2*o + h*o wrt f. 83026*h**2*o Find the second derivative of -405*j**3*t - 26*j**3 + 2*j**2*t - 55538*j - 2*t wrt j. -2430*j*t - 156*j + 4*t What is the derivative of -390377*b - 1211264? -390377 What is the second derivative of 49*i*k*w*y**2 - 1840746*i*w**2*y + 9*i*w + k*w**2*y**3 + 26*k*w*y**3 + y**3 wrt w? -3681492*i*y + 2*k*y**3 Differentiate 4*l**2 - 40206*l + 397633. 8*l - 40206 Find the second derivative of 2*t**3 - 79725*t**2 + 2756200*t. 12*t - 159450 Find the second derivative of 67*i*n**3 + 3588*i*n**2 + 62*i*n + 1090*i - 3*n + 1 wrt n. 402*i*n + 7176*i Find the third derivative of -179749*g**3*k**2 - g**3*v + 9*g**2*k**2*v + 2*g**2*v + 410*g*k**2 + 4*g + k**2*v - 2 wrt g. -1078494*k**2 - 6*v Find the third derivative of 39578*b*r**4 + 100*b*r**2 - b*r - 193*r**2 wrt r. 949872*b*r What is the third derivative of -46005*v**4 - 2*v**3 - 7*v**2 + 5*v + 2183 wrt v? -1104120*v - 12 Find the third derivative of 592428*q**3 + 747955*q**2. 3554568 What is the derivative of -2*a**2*b**2 - a**2 - 1301*a*b**2 - 6402*a - 15*b**2 wrt b? -4*a**2*b - 2602*a*b - 30*b What is the first derivative of 31558*h**3 - 671984? 94674*h**2 Find the second derivative of -52678*a**2 - 43877*a. -105356 What is the third derivative of 2*v**5 - 6*v**4 - 774*v**3 + 40382*v**2? 120*v**2 - 144*v - 4644 What is the second derivative of -1761337*r**3 + 4274303*r? -10568022*r What is the third derivative of 2*d**2*j**3 + 329*d**2*j**2 - 10344*d*j**5 + 2*d + 14*j**2 wrt j? 12*d**2 - 620640*d*j**2 Find the second derivative of 447277*l**2 + 2*l + 53710 wrt l. 894554 Find the third derivative of -1440021*u**6 + 176736*u**2. -172802520*u**3 Find the first derivative of -j*q - 59249*j - 25995*q wrt q. -j - 25995 Differentiate -2*f**3*z + 3739*f**3 - 10*f**2*z**2 + 4*f**2 - 3253*f*z wrt z. -2*f**3 - 20*f**2*z - 3253*f Find the first derivative of -112*v**4 - 113*v**3 - 5*v + 105192 wrt v. -448*v**3 - 339*v**2 - 5 Differentiate 8945*n*r*y + 25*n*r - 22*n*y + 2608*n - y wrt r. 8945*n*y + 25*n Differentiate 2*g*v*x - 10*g*v - 38766*g*x - 6*v*x - 13*v wrt v. 2*g*x - 10*g - 6*x - 13 Differentiate -7*l**2*o**2 + l**2*o*x + 10029*l**2*o - 8*l*o**2*x**2 - 232*o*x**2 with respect to x. l**2*o - 16*l*o**2*x - 464*o*x Find the first derivative of -4*g**2*j*k**2 + 2*g**2 - 396*g*j**2*k**2 - 70116*k**2 wrt j. -4*g**2*k**2 - 792*g*j*k**2 Find the third derivative of 18345*y**5 - 5403*y**2 wrt y. 1100700*y**2 What is the second derivative of -331659*r**2 - r - 885187 wrt r? -663318 Differentiate -12075*x**4 + 4*x**3 - 2*x**2 + 128170 wrt x. -48300*x**3 + 12*x**2 - 4*x What is the third derivative of -988*d**2*j**3*n - 105*d**2*n**2 + 3*d*j**2*n**3 - 3*j**3*n**3 + 2*j**3*n + j**2*n**2 wrt j? -5928*d**2*n - 18*n**3 + 12*n What is the third derivative of -207377*i**5 + 147602*i**2? -12442620*i**2 Find the third derivative of -151206*b**5 + b**2 + 939*b + 1. -9072360*b**2 What is the third derivative of -20*f*r**6 - 65723*f*r**5 - f*r + 24*r**2 + 2353 wrt r? -2400*f*r**3 - 3943380*f*r**2 What is the first derivative of 22380*f + 169131 wrt f? 22380 What is the derivative of -177394*j - 641348? -177394 Find the third derivative of 3121560*d**3 - 8249*d**2 + 202. 18729360 Find the second derivative of -784*r**4*y**2 - 10*r**2*y**2 - 38*r*y**2 - 2*r - 2*y**2 - 2*y + 345 wrt r. -9408*r**2*y**2 - 20*y**2 Differentiate -120879*y - 8396 with respect to y. -120879 What is the third derivative of 797*a*v**3 + 20*a*v**2 + 54*a + 2*v**3 - 21*v**2 - 2*v wrt v? 4782*a + 12 Find the third derivative of 185*d**3*p**3 + 10*d**3 + 3*d**2*p**3 - d*p**2 - 41 wrt p. 1110*d**3 + 18*d**2 What is the second derivative of -358000*z**2 - 320523*z + 2 wrt z? -716000 Find the third derivative of 28*p**4 + 5315*p**3 + 458549*p**2 wrt p. 672*p + 31890 Find the third derivative of -11755*c**2*q**5 - 8*c**2*q + 10*c**2 + c*q**2 - 81*c*q + 3*q**5 wrt q. -705300*c**2*q**2 + 180*q**2 Differentiate 2*a**3*q**2 + 2*a**3 - 9*a**2 - 557314*a*q**3 + 21667*a with respect to q. 4*a**3*q - 1671942*a*q**2 Find the second derivative of -60*s**4 - 591*s**3 - 6366*s + 2 wrt s. -720*s**2 - 3546*s Differentiate -51*x**4 - 7*x**2 + 2*x + 247. -204*x**3 - 14*x + 2 Find the second derivative of -3*y**3 + 1014914*y**2 + 4689942*y wrt y. -18*y + 2029828 What is the second derivative of 3*t*v*y**2 + 2*t*v*y + 386*t*v + 3*t*y**2 + 7*t*y + t - 3227*v*y**2 + v*y + 10*y**2 wrt y? 6*t*v + 6*t - 6454*v + 20 What is the second derivative of -142713*g**2 + 77536*g wrt g? -285426 What is the second derivative of -6*g**3 - 4719*g**2 - 46171*g + 2 wrt g? -36*g - 9438 Find the third derivative of 25905*n**3 - 2*n**2 - 447911. 155430 Find the second derivative of -8*l*u**2 + 63836*l*u - 22683*u**3 wrt u. -16*l - 136098*u What is the second derivative of 39819*b**2 + 79*b + 25? 79638 Find the second derivative of 3*j*t**5 - 69*j*t + 4984*r*t**3 + 4*r*t**2 - 218*r wrt t. 60*j*t**3 + 29904*r*t + 8*r Find the second derivative of 2*b**5*m - 228810*b**4*m + 2*b - 117*m - 3694 wrt b. 40*b**3*m - 2745720*b**2*m What is the derivative of 162818*x**2 - 39079 wrt x? 325636*x Find the second derivative of 2598*a**3 - 29*a**2*h + 7*a - 40616*h wrt a. 15588*a - 58*h What is the first derivati
{ "pile_set_name": "DM Mathematics" }
e nearest integer? 44 What is 2555574 to the power of 1/6, to the nearest integer? 12 What is the cube root of 3629593 to the nearest integer? 154 What is the seventh root of 151129 to the nearest integer? 5 What is 108894 to the power of 1/9, to the nearest integer? 4 What is the square root of 1260721 to the nearest integer? 1123 What is 6801449 to the power of 1/2, to the nearest integer? 2608 What is 5444593 to the power of 1/6, to the nearest integer? 13 What is the square root of 12357445 to the nearest integer? 3515 What is the square root of 1032567 to the nearest integer? 1016 What is 2141693 to the power of 1/8, to the nearest integer? 6 What is 2129906 to the power of 1/4, to the nearest integer? 38 What is the tenth root of 310291 to the nearest integer? 4 What is 187272 to the power of 1/5, to the nearest integer? 11 What is the tenth root of 23559416 to the nearest integer? 5 What is the square root of 838852 to the nearest integer? 916 What is the cube root of 21361892 to the nearest integer? 277 What is 4795749 to the power of 1/2, to the nearest integer? 2190 What is 345994 to the power of 1/2, to the nearest integer? 588 What is 7342073 to the power of 1/10, to the nearest integer? 5 What is the sixth root of 2602509 to the nearest integer? 12 What is 103015 to the power of 1/8, to the nearest integer? 4 What is 26764662 to the power of 1/8, to the nearest integer? 8 What is 1605406 to the power of 1/3, to the nearest integer? 117 What is 579313 to the power of 1/3, to the nearest integer? 83 What is the square root of 371186 to the nearest integer? 609 What is the fourth root of 5857747 to the nearest integer? 49 What is 185356 to the power of 1/9, to the nearest integer? 4 What is 4650358 to the power of 1/3, to the nearest integer? 167 What is 281755 to the power of 1/7, to the nearest integer? 6 What is 544476 to the power of 1/10, to the nearest integer? 4 What is 686036 to the power of 1/2, to the nearest integer? 828 What is the tenth root of 6104259 to the nearest integer? 5 What is 11472577 to the power of 1/7, to the nearest integer? 10 What is 73065 to the power of 1/5, to the nearest integer? 9 What is the fourth root of 1166 to the nearest integer? 6 What is 141410 to the power of 1/10, to the nearest integer? 3 What is the square root of 1769017 to the nearest integer? 1330 What is the cube root of 24718161 to the nearest integer? 291 What is 4038554 to the power of 1/4, to the nearest integer? 45 What is the cube root of 238880 to the nearest integer? 62 What is 3957052 to the power of 1/8, to the nearest integer? 7 What is 19891945 to the power of 1/6, to the nearest integer? 16 What is 1261307 to the power of 1/3, to the nearest integer? 108 What is the square root of 474845 to the nearest integer? 689 What is 159507 to the power of 1/10, to the nearest integer? 3 What is the fourth root of 81097 to the nearest integer? 17 What is 30103 to the power of 1/4, to the nearest integer? 13 What is 9912814 to the power of 1/2, to the nearest integer? 3148 What is the cube root of 4424585 to the nearest integer? 164 What is the cube root of 178259 to the nearest integer? 56 What is 557949 to the power of 1/2, to the nearest integer? 747 What is 154485 to the power of 1/6, to the nearest integer? 7 What is 7405597 to the power of 1/10, to the nearest integer? 5 What is the third root of 12859542 to the nearest integer? 234 What is 2942912 to the power of 1/10, to the nearest integer? 4 What is 9788982 to the power of 1/2, to the nearest integer? 3129 What is 1192162 to the power of 1/4, to the nearest integer? 33 What is the square root of 837099 to the nearest integer? 915 What is 51199 to the power of 1/6, to the nearest integer? 6 What is 494562 to the power of 1/2, to the nearest integer? 703 What is the third root of 105682 to the nearest integer? 47 What is 698878 to the power of 1/3, to the nearest integer? 89 What is 7258535 to the power of 1/6, to the nearest integer? 14 What is 9226406 to the power of 1/10, to the nearest integer? 5 What is the square root of 3793349 to the nearest integer? 1948 What is the square root of 147456 to the nearest integer? 384 What is 28456147 to the power of 1/2, to the nearest integer? 5334 What is the cube root of 18742608 to the nearest integer? 266 What is 12215492 to the power of 1/5, to the nearest integer? 26 What is the square root of 5828600 to the nearest integer? 2414 What is 15529271 to the power of 1/3, to the nearest integer? 249 What is 17488898 to the power of 1/2, to the nearest integer? 4182 What is the third root of 5291163 to the nearest integer? 174 What is 2642704 to the power of 1/3, to the nearest integer? 138 What is 532409 to the power of 1/8, to the nearest integer? 5 What is 5133627 to the power of 1/3, to the nearest integer? 173 What is 232804 to the power of 1/2, to the nearest integer? 482 What is the third root of 265423 to the nearest integer? 64 What is 236893 to the power of 1/2, to the nearest integer? 487 What is 139366 to the power of 1/2, to the nearest integer? 373 What is 970036 to the power of 1/3, to the nearest integer? 99 What is the square root of 801199 to the nearest integer? 895 What is 2975787 to the power of 1/2, to the nearest integer? 1725 What is 14645619 to the power of 1/2, to the nearest integer? 3827 What is the third root of 1389607 to the nearest integer? 112 What is 826235 to the power of 1/2, to the nearest integer? 909 What is 167227 to the power of 1/2, to the nearest integer? 409 What is the seventh root of 18274587 to the nearest integer? 11 What is the square root of 724356 to the nearest integer? 851 What is the cube root of 1999398 to the nearest integer? 126 What is the cube root of 2934805 to the nearest integer? 143 What is 28099411 to the power of 1/2, to the nearest integer? 5301 What is the ninth root of 15332541 to the nearest integer? 6 What is the tenth root of 10350216 to the nearest integer? 5 What is the cube root of 70385 to the nearest integer? 41 What is 3400649 to the power of 1/2, to the nearest integer? 1844 What is the seventh root of 950304 to the nearest integer? 7 What is the cube root of 1062164 to the nearest integer? 102 What is 596388 to the power of 1/2, to the nearest integer? 772 What is 93599 to the power of 1/4, to the nearest integer? 17 What is 2462534 to the power of 1/8, to the nearest integer? 6 What is the sixth root of 1993354 to the nearest integer? 11 What is the seventh root of 28090384 to the nearest integer? 12 What is 687926 to the power of 1/7, to the nearest integer? 7 What is 563762 to the power of 1/2, to the nearest integer? 751 What is 545742 to the power of 1/3, to the nearest integer? 82 What is 36724 to the power of 1/9, to the nearest integer? 3 What is the cube root of 280999 to the nearest integer? 65 What is the square root of 1977404 to the nearest integer? 1406 What is the cube root of 2185529 to the nearest integer? 130 What is the fifth root of 36125 to the nearest integer? 8 What is 311147 to the power of 1/7, to the nearest integer? 6 What is 20 to the power of 1/2, to the nearest integer? 4 What is the cube root of 15478207 to the nearest integer? 249 What is the ninth root of 31453 to the nearest integer? 3 What is the square root of 101385 to the nearest integer? 318 What is the seventh root of 13564993 to the nearest integer? 10 What is the square root of 2080151 to the nearest integer? 1442 What is the cube root of 14631311 to the nearest integer? 245 What is the fourth root of 53524 to the nearest integer? 15 What is the square root of 443816 to the nearest integer? 666 What is 6131894 to the power of 1/6, to the nearest integer? 14 What is 45561 to the power of 1/8, to the nearest integer? 4 What is 545382 to the power of 1/2, to the nearest integer? 738 What is the square root of 162781 to the nearest integer? 403 What is 335531 to the power of 1/7, to the nearest integer? 6 What is the third root of 665875 to the nearest integer? 87 What is 395356 to the power of 1/8, to the nearest integer? 5 What is 5628309 to the power of 1/7, to the nearest integer? 9 What is the fourth root of 6283164 to the nearest integer? 50 What is 647635 to
{ "pile_set_name": "DM Mathematics" }
417.2145 How many centimeters are there in 0.068979 kilometers? 6897.9 What is 304117.6ml in litres? 304.1176 How many nanometers are there in one twentieth of a micrometer? 50 How many centuries are there in 0.3623346 millennia? 3.623346 What is 19/4 of a week in minutes? 47880 How many millilitres are there in 809621.9 litres? 809621900 What is 244.4753 centuries in years? 24447.53 What is 0.7062172 nanoseconds in microseconds? 0.0007062172 How many milligrams are there in 188.2247kg? 188224700 What is 77029.81m in centimeters? 7702981 How many millennia are there in 1.1453442 months? 0.00009544535 How many millennia are there in 635.4974 years? 0.6354974 Convert 427937.8ng to milligrams. 0.4279378 Convert 5.203589 milliseconds to seconds. 0.005203589 Convert 154.5778ml to litres. 0.1545778 How many millilitres are there in thirty-four fifths of a litre? 6800 What is 0.8825251mg in tonnes? 0.0000000008825251 What is 3/8 of a litre in millilitres? 375 Convert 39.5784 years to centuries. 0.395784 How many millilitres are there in 1/10 of a litre? 100 How many meters are there in twenty-one quarters of a kilometer? 5250 What is 37/5 of a meter in millimeters? 7400 Convert 91867.46 hours to minutes. 5512047.6 Convert 74.07431 tonnes to nanograms. 74074310000000000 What is 1953080.7 months in millennia? 162.756725 What is 2/125 of a centimeter in micrometers? 160 How many millilitres are there in 1/20 of a litre? 50 What is 1/10 of a century in years? 10 How many millimeters are there in 19459.52nm? 0.01945952 How many millennia are there in 2645.1672 months? 0.2204306 How many hours are there in 1/4 of a week? 42 Convert 0.6829675t to kilograms. 682.9675 What is twenty-five quarters of a millennium in years? 6250 Convert 232.8118 milligrams to grams. 0.2328118 What is 11/8 of a litre in millilitres? 1375 How many weeks are there in 72144834.3 nanoseconds? 0.00000011928709375 What is one quarter of a litre in millilitres? 250 What is 38.9198ml in litres? 0.0389198 How many decades are there in 4.910574 centuries? 49.10574 Convert 815008.6us to seconds. 0.8150086 Convert 3072.65 minutes to seconds. 184359 How many meters are there in one fifth of a kilometer? 200 How many millilitres are there in 27/4 of a litre? 6750 How many minutes are there in 1/4 of a week? 2520 How many nanometers are there in seventy-two fifths of a micrometer? 14400 How many seconds are there in 3/5 of a hour? 2160 What is 472.5922 years in decades? 47.25922 How many millimeters are there in nine tenths of a centimeter? 9 How many seconds are there in 1979.798 days? 171054547.2 What is 3/25 of a minute in milliseconds? 7200 What is eleven halves of a litre in millilitres? 5500 How many millennia are there in 380.6522 decades? 3.806522 How many millilitres are there in 19/4 of a litre? 4750 What is fourty-one halves of a litre in millilitres? 20500 How many grams are there in 73/5 of a kilogram? 14600 What is 1/4 of a litre in millilitres? 250 What is 33/5 of a kilogram in grams? 6600 How many millennia are there in 1.4837235 months? 0.000123643625 What is 100.97424 months in years? 8.41452 How many months are there in four thirds of a century? 1600 How many millilitres are there in 4.843852l? 4843.852 How many millilitres are there in 3/40 of a litre? 75 How many grams are there in 162277.3 kilograms? 162277300 What is 48438.83 years in centuries? 484.3883 How many micrometers are there in thirteen quarters of a millimeter? 3250 How many years are there in 5236.259 centuries? 523625.9 What is 17/2 of a millimeter in micrometers? 8500 What is five quarters of a millimeter in micrometers? 1250 Convert 6.153627 litres to millilitres. 6153.627 What is 66771.72 milliseconds in hours? 0.0185477 How many nanograms are there in fifteen quarters of a microgram? 3750 How many decades are there in eleven quarters of a millennium? 275 What is 9596.829 millennia in centuries? 95968.29 How many weeks are there in 38.993976 minutes? 0.00386845 What is 6.9567372 nanoseconds in hours? 0.000000000001932427 Convert 28953.03 millilitres to litres. 28.95303 What is 11.2713552 seconds in days? 0.0001304555 How many centimeters are there in 48498.97 millimeters? 4849.897 Convert 85735.1 micrometers to meters. 0.0857351 How many seconds are there in seventy-two fifths of a hour? 51840 What is 7/4 of a decade in months? 210 How many millimeters are there in fifty-three fifths of a centimeter? 106 How many millimeters are there in 44/5 of a meter? 8800 What is 1/16 of a century in months? 75 Convert 8159920.2 minutes to days. 5666.61125 What is five quarters of a millisecond in microseconds? 1250 What is 98434.33 decades in years? 984343.3 Convert 22.5051 decades to millennia. 0.225051 Convert 574.8526 hours to nanoseconds. 2069469360000000 How many nanoseconds are there in fourty-seven quarters of a microsecond? 11750 How many hours are there in five sixths of a day? 20 How many kilograms are there in fourty-six fifths of a tonne? 9200 Convert 0.2397446 grams to nanograms. 239744600 What is 224.37297 months in millennia? 0.0186977475 Convert 251183.6km to centimeters. 25118360000 How many centimeters are there in 3/10 of a kilometer? 30000 Convert 9830.177cm to meters. 98.30177 What is 17/4 of a kilogram in grams? 4250 What is 3/25 of a milligram in micrograms? 120 What is 190484.64ns in minutes? 0.000003174744 What is 4600481.9 days in weeks? 657211.7 What is two fifteenths of a hour in seconds? 480 Convert 123.3131 millilitres to litres. 0.1233131 What is 8.23348 millilitres in litres? 0.00823348 Convert 3482.98ml to litres. 3.48298 How many centuries are there in one fifth of a millennium? 2 What is 55.15272 nanometers in micrometers? 0.05515272 What is 7/8 of a millennium in months? 10500 Convert 203.2088 weeks to minutes. 2048344.704 How many kilograms are there in 2.751354 micrograms? 0.000000002751354 What is 510.259 days in minutes? 734772.96 What is 7683.081 nanograms in tonnes? 0.000000000007683081 What is 25/8 of a gram in milligrams? 3125 How many litres are there in 49483.33 millilitres? 49.48333 What is 0.0977291 litres in millilitres? 97.7291 What is 5024.823 nanograms in kilograms? 0.000000005024823 How many milligrams are there in 13/4 of a gram? 3250 How many milligrams are there in 3/5 of a gram? 600 What is 0.8944102 litres in millilitres? 894.4102 How many meters are there in 2.268045 kilometers? 2268.045 What is 13/4 of a millennium in decades? 325 What is 46/5 of a micrometer in nanometers? 9200 Convert 61778.34ug to grams. 0.06177834 How many seconds are there in seventeen sixths of a minute? 170 How many months are there in 10/3 of a decade? 400 What is 18/5 of a second in milliseconds? 3600 What is seventy-nine halves of a meter in millimeters? 39500 Convert 0.9653148cm to micrometers. 9653.148 How many years are there in 3/5 of a decade? 6 Convert 5775203.7 minutes to weeks. 572.936875 How many kilograms are there in twenty-seven quarters of a tonne? 6750 How many millilitres are there in 15/4 of a litre? 3750 How many litres are there in 69928.2 millilitres? 69.9282 Convert 963.9947 weeks to days. 6747.9629 Convert 47316.02mm to meters. 47.31602 Convert 0.0329797 nanoseconds to microseconds. 0.0000329797 How many years are there in 6/25 of a millennium? 240 What is 1/5 of a minute in milliseconds? 12000 What is five eighths of a millimeter in micrometers? 625 How many years are there in 3/50 of a millennium? 60 What is 333.3841l in millilitres? 333384.1 What is 37/2 of a micrometer in nanometers? 18500 How many months are there in 8/3 of a decade? 320 How many micrograms are there in 0.5219429t? 521942900000 How many years are there in 6/25 of a millennium? 240 Convert 936280.7kg to tonnes. 936.2807 Convert 0.2154845cm to kilometers. 0.000002154845 How many months are there in 63501.09 millennia? 762013080 How many nanograms are there in 3/5 of a microgram? 600 What is 27/4 of a century in years? 675 What is 1/5 of a kilogram in grams? 200 How many decades are there in 0.1451062 millennia? 14.51062 How many litres are there in 0.2697034 millilitres? 0.0002697034 What is 3/10 of a meter in centimeters? 30 How many nanoseconds are there in five quarters of a microsec
{ "pile_set_name": "DM Mathematics" }
5*i(p). Calculate w(t(x)). 10*x Let p(d) be the first derivative of -149*d**3/3 + 91. Let c(h) = 2*h. Calculate p(c(z)). -596*z**2 Let j(q) = q. Let o(l) be the second derivative of -275*l**4/12 + l**2/2 + 2*l - 3. Determine j(o(z)). -275*z**2 + 1 Let s(t) = -15*t**2. Let y(q) be the first derivative of -25*q**2/2 + 89. Determine y(s(i)). 375*i**2 Let m(t) = 15*t - 155. Let q(s) = 3*s. Determine q(m(p)). 45*p - 465 Let l(i) = -22*i**2. Let z(s) = 19*s + 38. What is l(z(w))? -7942*w**2 - 31768*w - 31768 Let x(s) be the first derivative of 2*s**3/3 - 7. Suppose 4*k - 18 = -2*k. Let t(a) = -3*a - k*a**2 - a + 4*a. Determine x(t(m)). 18*m**4 Let i(u) = -3*u + 1472. Let l(o) = 32*o. What is i(l(v))? -96*v + 1472 Let s be (-6)/(-12)*(3 - -1). Let x(j) = -9*j**2 + 8*j**2 + 2*j**s. Let h(l) = l + 0*l + 6*l. Determine x(h(o)). 49*o**2 Let d = -348 + 348. Let m(v) be the first derivative of d*v - 1/2*v**2 - 6. Let z(g) = -g. Calculate m(z(o)). o Let y(u) = -201*u**2. Let w(f) = 46*f**2 + 3*f. What is w(y(s))? 1858446*s**4 - 603*s**2 Let d(t) = 17*t + 4. Let n(q) = -66*q - 15. Let k(c) = -15*d(c) - 4*n(c). Let o(m) = -14*m. Determine o(k(j)). -126*j Let j(m) = 48*m. Let k(x) be the second derivative of 2*x**4/3 + 281*x. Give j(k(d)). 384*d**2 Let f(p) = -5*p. Let x(g) = -2*g. Let t(n) = 2*f(n) - 4*x(n). Let m(h) = -24*h**2. Calculate t(m(j)). 48*j**2 Let q(o) = -3*o. Let l(u) = 3*u + 59730. Give l(q(g)). -9*g + 59730 Let q(v) = -25353*v. Let j(z) = -16*z. Calculate q(j(u)). 405648*u Let w(n) = 3*n. Let d(k) be the second derivative of 7*k**3/6 + 13*k**2/2 + 370*k. Determine w(d(t)). 21*t + 39 Let d(j) = j. Let x(n) = -n. Let o(r) = 4*d(r) + 5*x(r). Let l(v) = 22*v - 4*v + v. Give l(o(s)). -19*s Let m(v) = -16*v**2. Let r(q) be the second derivative of 0 + 31*q - 1/2*q**3 + 0*q**2. Calculate r(m(s)). 48*s**2 Let j(x) = 4*x**2. Let d(w) be the second derivative of w**3/3 - 2*w**2 + w + 39. Give j(d(f)). 16*f**2 - 64*f + 64 Let y(t) = -t. Let w(p) = 9*p + 2542. Give y(w(n)). -9*n - 2542 Let z(d) = d**2 + d. Let k(b) be the third derivative of 3*b**5/20 + b**4/4 + 14*b**2. Let i(p) = -k(p) + 6*z(p). Let h(o) = -9*o. Calculate i(h(u)). -243*u**2 Let h(u) = 16*u**2 + 0*u**2 - 8*u**2 - 7*u**2. Let a(f) = 17*f + 8*f - 5*f + f. Determine a(h(m)). 21*m**2 Let z(w) = 73*w**2 - 35*w**2 - 34*w**2. Let b(h) = -4*h**2. Calculate z(b(i)). 64*i**4 Let c(x) = x. Let i(y) = -12 + 6 + 5*y + 6. Suppose 2 = -f + 5. Let n(o) = 26*o. Let d(r) = f*n(r) - 16*i(r). Calculate d(c(s)). -2*s Let r(k) = 3*k + 8. Let g(u) be the first derivative of u**2/2 + 2*u + 38. Let m(n) = 4*g(n) - r(n). Let j(w) = -33*w**2. Give j(m(p)). -33*p**2 Let k(u) = -u**2. Let c be 27/72*10 + 6/(-8). Let j(y) be the second derivative of -5/6*y**4 + 0*y**c + 0 + 0*y**2 + 3*y. Calculate j(k(h)). -10*h**4 Let b(t) = 2*t**2 - 8*t - 20272. Let r(p) = -4*p. Calculate b(r(k)). 32*k**2 + 32*k - 20272 Let s(j) be the first derivative of -j**3/6 + 2*j + 2. Let b(o) be the first derivative of s(o). Let l(i) = 12*i**2 - i**2 + 0*i**2 - 2*i**2. Determine l(b(a)). 9*a**2 Let x(c) = -197 + c + 247 - 179. Let o(f) = 2*f. Determine x(o(w)). 2*w - 129 Let f(i) = 2*i. Let n(c) = -243*c + 121*c + 125*c. Give n(f(m)). 6*m Suppose 4*y = 3*y + 2. Let l(j) = 2*j**y - 4*j**2 + 5*j**2. Let m(q) = 13*q**2. What is m(l(f))? 117*f**4 Let o(s) be the first derivative of -6*s**3 - 277. Let u(w) = -6*w**2. Determine u(o(l)). -1944*l**4 Let f(o) = 2*o**2. Let w(i) = -5*i**2 - 11*i + 32. Let t be 3*-1 - 12/12. Let r(s) = -2*s**2 - 4*s + 11. Let n(g) = t*w(g) + 11*r(g). What is f(n(a))? 8*a**4 + 56*a**2 + 98 Let z(o) = -2*o. Let r(a) = 74*a**2 - 2*a - 2. Let v(c) = c + 1. Let l(q) = -r(q) - 2*v(q). Calculate z(l(p)). 148*p**2 Let h(l) = l**2 + 1. Let v(o) = -5*o**2 + 3. Let n(u) = 3. Let f(t) = n(t) - v(t). Determine h(f(w)). 25*w**4 + 1 Let m(d) = 379*d. Let h(w) = 356*w. Calculate h(m(c)). 134924*c Let h(p) = -17*p. Let g(q) = 92701*q**2. What is g(h(c))? 26790589*c**2 Let o(d) = d. Let x(l) = -21053*l + 1. Determine o(x(t)). -21053*t + 1 Let t(z) = 5*z. Let b(m) = -13202*m. What is t(b(c))? -66010*c Let q(n) = -582*n**2 - n - 2. Let y(r) = -4*r. Determine q(y(x)). -9312*x**2 + 4*x - 2 Let h(c) be the second derivative of -7*c**4/12 - 69*c. Let r(n) = -12*n. Give r(h(l)). 84*l**2 Let g(o) = -114*o. Let v(y) = -8*y - 2. Give v(g(h)). 912*h - 2 Let n(z) = -2*z. Let u(x) = -x - 17*x + x. Give u(n(r)). 34*r Let w(j) = 3*j. Let q(k) = 4632*k**2 - 9031*k**2 + 4601*k**2. What is w(q(c))? 606*c**2 Let i(z) = -1 + 3 - 3*z**2 - 1. Let m(d) = 9*d - 23*d + d + 14*d. What is i(m(p))? -3*p**2 + 1 Let x(r) = -5*r. Let y(k) be the third derivative of k**4/12 + 55*k**2 - 1. What is x(y(g))? -10*g Let r(h) be the third derivative of -11*h**8/6720 - 7*h**5/60 + 8*h**2. Let d(c) be the third derivative of r(c). Let t(n) = -2*n**2. Calculate t(d(a)). -2178*a**4 Let y(s) = -5*s**2 + 2*s. Let b(g) be the third derivative of g**5/30 - 72*g**2. What is y(b(c))? -20*c**4 + 4*c**2 Suppose 2 = b - 1. Let s(x) = -3*x**2 + b*x**2 + 11*x**2 - x**2. Let f(m) = -2*m**2 - 43 + 43. Calculate f(s(q)). -200*q**4 Let o(s) = 54467*s. Let w(a) = 11*a**2. Calculate w(o(v)). 32633194979*v**2 Let l(m) = -146 - 3*m**2 + m**2 + 146. Let o(g) be the first derivative of 3*g**2/2 + 2. Calculate l(o(c)). -18*c**2 Let m(p) = p**2. Let k = 44 - 27. Let n(g) = -16*g + 68*g**2 - g + k*g. Determine m(n(i)). 4624*i**4 Let q(w) = 19*w - 1. Let g(m) = 4505*m + 4507*m + 4507*m - 13524*m. Determine q(g(j)). -95*j - 1 Let t(i) = 9*i. Let s(z) = 10*z. Let y(f) = -6*s(f) + 7*t(f). Let g(q) = -q**2 - 2. Let k(p) = -4*p**2 - 11. Let o(n) = 11*g(n) - 2*k(n). What is y(o(l))? -9*l**2 Let k(f) = f**2. Let u(t) = -23*t - 9*t - 1 - 2*t - 23*t. Give u(k(y)). -57*y**2 - 1 Let y(g) = -12*g**2. Let k(l) = -23 + 15 + 8 - 2*l**2. Determine y(k(s)). -48*s**4 Let v(c) = 20*c**2. Let n(a) = 1342*a**2. What is n(v(m))? 536800*m**4 Let c(z) = -211*z**2. Let x(f) = -3*f. Determine c(x(u)). -1899*u**2 Suppose 0*d + d + 7 = 3*m, 4*d = -m - 2. Let l(u) = 3*u**2 + m*u**2 + u**2 - 5*u**2. Let a(v) = 2*v. Determine a(l(i)). 2*i**2 Let d(p) = -12*p - 38. Let u(x) = -145*x - 475. Let w(q) = -25*d(q) + 2*u(q). Let l(t) = 41*t**2. Determine l(w(h)). 4100*h**2 Suppose 2*u - 1 - 3 = 0. Suppose -2*c = z - 17, -u*c + 78 + 14 = 4*z. Let i(w) = -2*w - z + 25. Let m(o) = -12*o. Calculate m(i(r)). 24*r Let l(s) = -2*s**2 + 0*s**2 - 52*s + 52*s. Let v(i) = 47*i - 1. Determine v(l(n)). -94*n**2 - 1 Suppose 0 = -4*n + 3*p - 16, -2*p = n - 7 - 0. Let i(y) = 3*y + 6. Let a(v) = -1. Let z(x) = n*i(x) - 6*a(x). Let u(r) = -3*r**2. Calculate u(z(w)). -27*w**2 Let p(i) = -6*i. Suppose -5*o + 4 = -3*v, 0 = 2*o - 4*v + v + 2. Let a(f) = 4*f**2 - o*f**2 - 3*f**2. Give a(p(b)). -36*b**2 Let p(j) = 4*j**2. Let w(a) be the second derivative of -1/12*a**4 + 0*a**2 - 48*a + 0 + 0*a**3. Give w(p(q)). -16*q**4 Let f(t) = -3*t**2. Suppose 7*r = 2*r + 30. Let c(b) = 40*b + r*b**2 - 40*b. What is f(c(s))? -108*s**4 Let k(c) = -11326*c**2 + 5668*c**2 + 5660*c**2. Let t(m) = 8*m**2. Let y(s) = 7*s**2. Let w(n) = 3*t(n) - 4*y(n). Determine w(k(v)). -16*v**4 Let s(o) = -80 - 9*o - 74 + 227 - 72. Let k(j) = 6*j**2. Give k(s(z)). 486*z**2 - 108*z + 6 Let y(k) = 169*k. Let t(c) = -381*c. What is t(y(z))? -64389*z Let s(y) = 2*y**2. Let f(c) = -c**2 + 8*c + 13. Let d be f(11). Let j = d + 22. Let l(u) = -7*u + 0*u - 2*u - j*u. What is l(s(w))? -22*w**2 Let k(x) = -x**2. Let b(f) be the first derivative of 604*f**3 + 857. Calculate k(b(w)). -3283344*w**4 Let y(x) be the first derivative of 2*x**3/3 - 316. Let p(d) = 39*d**2 + 3. Give y(p(k)). 3042*k**4 + 468*k**2 + 18 Let y(q) = 866*q**2. Let o(b) = -2775817*b + 2*b**2 + 2775817*b. What is o(y(w))? 1499912*w**4 Let l(g) = -5*g. Let s(r) = -4*r + 6. Let n(x) = 6*x - 7. Let f(b) = 4*n(b) + 5*s(b). Determine l(f(z)). -20*z - 10 Let z(k) = -258199*k + 1. Let l(a) = 6*a. Give z(l(c)). -1549194*c + 1 Let t(r) = 3851*r + 2. Let k(l) = 11*l**2. Give t(k(h)). 42361*h**2 + 2 Let k(q) = -7*q. Let s(d) = -217*d. Let z(r) = 63*k(r) - 2*s(r). Let u(a) = 19*a. Determine z(u(c)). -133*c Let p(u) = 3*u. Let w(a) be the first derivative of 0*a - 1/12*a**5 + 0*a**4 + a**2 + 2 + 0*a**3. Let m(i) be the second derivative of w(i).
{ "pile_set_name": "DM Mathematics" }
-2/3 What is the biggest value in 1, 3, 14, -2? 14 Which is the second biggest value? (a) 6 (b) 0 (c) 28174/3 a Which is the third smallest value? (a) 0.0791 (b) -38 (c) -2/9 (d) -3 c What is the third smallest value in 0.1, 1033/2, 248? 1033/2 Which is the third biggest value? (a) 0.028 (b) 0.16 (c) -3/307 (d) 2 (e) 5 b What is the fourth biggest value in -0.3, -1.58, 111, -2? -2 Which is the third biggest value? (a) -6/11 (b) -7 (c) -1986 (d) 0.6 b What is the smallest value in 0, 5, -11, 0.01, 8/3? -11 Which is the second biggest value? (a) 447 (b) 14/9 (c) -2/45 b Which is the fourth biggest value? (a) 1 (b) 0 (c) -3 (d) -0.6874 c What is the fourth biggest value in 2, -2, -0.4, -5/323, 32, -0.2? -0.2 Which is the smallest value? (a) 0.18 (b) 21960 (c) 1/3 a Which is the smallest value? (a) 3/4 (b) 4 (c) -20 (d) 3 (e) 8/39 c Which is the third biggest value? (a) 2/35 (b) 1 (c) -2 (d) 56/3 a Which is the third biggest value? (a) 6 (b) -15/16 (c) 2/7 (d) 92 c Which is the third biggest value? (a) -2 (b) -2/393 (c) 4 (d) -145 a What is the fourth smallest value in 3, -5.3, 312, -0.3, -0.9? 3 Which is the fourth biggest value? (a) -0.2 (b) 9 (c) -4/11 (d) -26 (e) -5.6 e Which is the fourth biggest value? (a) -2 (b) -0.2 (c) -1/26 (d) 5 (e) -0.7 e What is the third smallest value in 0.6, -0.3, 138, 0.109? 0.6 Which is the biggest value? (a) 0.2 (b) -5 (c) 0 (d) -17471 a Which is the fourth smallest value? (a) -0.017 (b) -0.5 (c) 5 (d) 0.4 (e) -3 d Which is the smallest value? (a) -0.3 (b) 1/11 (c) 2 (d) -463 d Which is the biggest value? (a) -0.181 (b) -36 (c) 5 (d) 1/4 (e) 3 c Which is the third biggest value? (a) 77 (b) 33 (c) 0.04 (d) -10 c Which is the smallest value? (a) -77 (b) -1/2 (c) -0.03 (d) 0.2 (e) -0.059 a Which is the third smallest value? (a) 1/78 (b) -1/5 (c) 57 c Which is the third biggest value? (a) 96 (b) 0.293 (c) -0.2 (d) 3 (e) 0.2 b Which is the fourth smallest value? (a) 3/28 (b) -0.2 (c) -4 (d) 0.2 (e) 0.15 (f) 4 e What is the second smallest value in 1/1936, 4, -2/17? 1/1936 What is the third smallest value in 7/911, -6, -0.04, -0.5? -0.04 What is the third biggest value in 0.134, 3, 5, -628, 0? 0.134 Which is the third biggest value? (a) -4 (b) -1/7 (c) 5 (d) -25 (e) -1/2 (f) -1/3 f What is the fourth smallest value in -73, 0.3, 271, 2, 1? 2 Which is the sixth biggest value? (a) -0.02 (b) 2/23 (c) 3 (d) 3/4 (e) 0 (f) -1306 f What is the second smallest value in 5.9, 0.2, -13.34? 0.2 What is the fourth biggest value in 1/13, 0.2, 0.07, 0.1, -0.5? 0.07 What is the third biggest value in 1, -3, -58.3, -1? -3 What is the third biggest value in -0.2, 0.1, 143, 4, 431? 4 What is the third smallest value in 1, -2464.9, -3? 1 Which is the biggest value? (a) -4234 (b) 3/8 (c) -6 b What is the smallest value in 5, 4/7, -10003, 2/19, -3? -10003 What is the second biggest value in -5, 1, -31.7? -5 Which is the third biggest value? (a) 0 (b) 113 (c) 0.9 (d) -3 a Which is the smallest value? (a) -6 (b) 0.3 (c) 92.208 a Which is the fifth biggest value? (a) -0.1 (b) 2 (c) -1/7 (d) -2/9 (e) -2/7 e What is the fourth smallest value in -1/2, 1.14, 24.3, 1/4, -18? 1.14 Which is the sixth smallest value? (a) -1/2 (b) -0.7 (c) 3/5 (d) 565 (e) 3 (f) 0.2 d What is the biggest value in -4, -12.38, 0.3? 0.3 Which is the fifth biggest value? (a) -0.4 (b) -2 (c) -4 (d) -26/7 (e) 5 c What is the smallest value in 1, 0.0996, -0.8? -0.8 What is the fourth biggest value in -0.3, -18, -4, -4/7, -0.022? -4 What is the third smallest value in -236.903, -4, -0.4? -0.4 What is the second smallest value in -1, 13, 0, -4/9? -4/9 Which is the fourth smallest value? (a) 2/7 (b) -69 (c) -6/7 (d) -0.1 (e) -3.1 d What is the third smallest value in 0.3, 667, 0.5, 65, 2/5? 0.5 Which is the fifth smallest value? (a) 65 (b) 3 (c) -6 (d) -3 (e) -2/13 a Which is the second biggest value? (a) -0.6 (b) -7 (c) -632 b What is the fourth biggest value in 6, -2, -2/13, 47, -0.4? -0.4 Which is the fifth smallest value? (a) 1 (b) 0.3 (c) -0.13 (d) 2/51 (e) -0.22 a What is the second biggest value in 264, -0.04459, -2? -0.04459 Which is the second smallest value? (a) 82 (b) 6.7 (c) -1/3 b Which is the fourth biggest value? (a) 1/28 (b) 65 (c) -1 (d) -0.4 (e) 5 d What is the third smallest value in 2002, 5/6, 3.8? 2002 Which is the third smallest value? (a) 3/107 (b) 5/3 (c) -0.3 (d) -20 (e) 16 a Which is the third smallest value? (a) 8/205 (b) -4/1607 (c) 2 c Which is the fifth smallest value? (a) -7/3 (b) 0.4 (c) -2 (d) 3 (e) -2/21 d Which is the third smallest value? (a) -3 (b) 0.038 (c) -5 (d) -20 (e) 0 a Which is the third smallest value? (a) 35 (b) -0.5 (c) 15/8 a Which is the fourth smallest value? (a) -0.5 (b) 4/3 (c) 2 (d) -41525 c What is the fifth smallest value in 2/3, 1/4, -21, 4, -1, 1? 1 Which is the second biggest value? (a) 0.5 (b) 0 (c) 21384 a What is the second smallest value in 2.3, -1.06, -14? -1.06 Which is the second smallest value? (a) -4/17 (b) -97/10 (c) 3/4 a Which is the smallest value? (a) -0.695 (b) 3/4 (c) -3 (d) -5 (e) -0.3 d What is the biggest value in -1/10006, -0.3, 3? 3 What is the second smallest value in 4, -2/61, 101? 4 What is the biggest value in 0.05, -1/3768, 3, 0.5? 3 What is the smallest value in -179, -2/5, 117? -179 Which is the second smallest value? (a) 2/5 (b) -0.5849 (c) -2 b What is the second smallest value in -10/11, -63, -0.3, 46? -10/11 Which is the second smallest value? (a) -4 (b) 1.2 (c) -5 (d) -55/8 c Which is the second biggest value? (a) 7 (b) 2/9 (c) 9 (d) 22/9 a What is the smallest value in 46, -11, 2/7? -11 Which is the third smallest value? (a) -1/2 (b) 42/11 (c) 60 c What is the biggest value in 0, 3/2, -479/4, -3, 0.3, -0.2? 3/2 What is the fifth smallest value in -0.5, -2/7, 1/17, 1675, -0.09? 1675 What is the biggest value in 6, -12/19, 2/15, -1, 0.11, 3/4? 6 Which is the fifth biggest value? (a) -13 (b) -0.5 (c) 0.3 (d) -0.1 (e) -2 (f) 564 e What is the fifth biggest value in -0.2, -50, -5/2, 0.07, -3, 5? -3 Which is the fifth biggest value? (a) 2/25 (b) 0 (c) 4.39 (d) 4/7 (e) 6 (f) -1/4 b Which is the third smallest value? (a) 20 (b) 1.1 (c) 2/5 (d) -1/5 (e) 4 b Which is the third biggest value? (a) 1 (b) 440 (c) 2/7 (d) -0.4 (e) 30 a What is the smallest value in -3/4, -5, -1862? -1862 Which is the smallest value? (a) -1 (b) 0.0003 (c) 30 (d) 4/7 a Which is the second smallest value? (a) 0.71 (b) 1 (c) -0.13 a Which is the second biggest value? (a) -30 (b) -2/7 (c) -0.014 (d) -1/3 (e) 3/5 (f) 0 f What is the fourth smallest value in 0, 2, -6.2, -174/17, 5, 0.5? 0.5 Which is the biggest value? (a) -0.5 (b) -1 (c) 132/7 (d) 2 (e) 0 (f) 0.1 c Which is the fourth biggest value? (a) -5 (b) -2/3 (c) 12 (d) -7 (e) -1 (f) -10 a What is the second smallest value in -15, 279/11, -0.3? -0.3 What is the third smallest value in 18, 0.04, 1, -0.2, 2.1? 1 What is the fourth smallest value in -3/5, -2, 3/4, -0.4, 33, -94? -0.4 Which is the second biggest value? (a) 0 (b) 3945 (c) 0.2 (d) 4 (e) 0.8 d What is the second biggest value in 1, -3/4, -1/9, 0.127, -3? 0.127 Which is the third biggest value? (a) 25/4077 (b) 3 (c) 1 a What is the second smallest value in -3, 2/3, -62, -13? -13 What is the third smallest value in -12, -2/3, -0.14, -4? -2/3 Which is the second biggest value? (a) 0.2 (b) -3 (c) -659 b Which is the fourth smallest value? (a) -5 (b) -1 (c) -0.0691 (d) -21 (e) -0.4 e What is the third biggest value in -891, 2, -8/7? -891 What is the smallest value in 1, 3, 4.89813? 1 What is the second smallest value in -4/7, -4, 0.3, -31, 28/5? -4 Which is the second biggest value? (a) 15 (b) 80793 (c) 5 a What is the fourth biggest value in 0, -1/13, 2/13, -0.1, 517? -1/13 Which is the third smallest value? (a) -5 (b) 80 (c) -7 (d) 2/7 (e) 1/8 (f) -69 a What is the smallest value in 0, 575, 0.4, 112? 0 Which is the third smallest value? (a) -0.02 (b) -0.04459 (c) -0.5 a What is the fifth smallest value in 5/4, -0.6, 0, 0.9, 4? 4 Wh
{ "pile_set_name": "DM Mathematics" }
(s) = s**3 - 2*s**2 - 13*s + 2. Let u be r(5). Let p(o) = -3*o - 1. Let c(b) = u*p(b) - i(b). Calculate c(5). -10 Let f = 4848 + -4855. Let h(z) = -14*z - 8. What is h(f)? 90 Let s(n) be the second derivative of n**4/2 + 7*n**2/2 - 48*n. Let m(t) = 8*t**2 + 10. Let k(z) = -5*m(z) + 7*s(z). What is k(2)? 7 Let a(y) = -y - 7. Let s(i) be the second derivative of -i**3/3 - 442*i. Let z be 2/5 - 21/15. Let u(g) = z*a(g) + s(g). Give u(5). 2 Suppose -s + 2*d = -2, 3*d + 4 = 7*d. Let p(v) = 3*v**3 + 0*v**2 - 5*v - 2*v**3 - 3*v**2 - 2 + 0. Determine p(s). -6 Let b(l) = -7*l + 6. Suppose 2*t = -3*t - 4*r - 12, -3*t - 4*r - 4 = 0. Let q(d) = 9*d - 7. Let j(m) = t*q(m) - 5*b(m). What is j(-3)? 1 Let w(u) be the third derivative of -u**6/120 + u**5/5 - 5*u**4/24 - 4*u**3 - 2872*u**2. Give w(11). 42 Let q(x) = 3 - 207*x**2 - 3 - 3*x + 211*x**2. Let j be q(2). Let n(b) = 10*b**3 - b**3 - 3*b - 4 - j*b**3 - 4*b**2. Determine n(-3). -4 Let l(w) = -w + 52. Let q(g) = -39*g - 182. Let b(n) = 3*l(n) + q(n). What is b(-3)? 100 Let f(t) be the second derivative of -1/2*t**3 + 39 - 3*t**2 + 2*t. Give f(-5). 9 Let u(k) = 6*k + 3. Let z(i) = 2*i**2 - 13. Let t(n) = -n**3 - 10*n**2 + 9*n - 19. Let j be t(-11). Let d be z(j). Suppose -5*y - 10 = d. Give u(y). -15 Let d(l) = 18*l - 29. Let q(o) = -6*o + 10. Let y = 84 - 76. Let x(p) = y*q(p) + 3*d(p). Let s = -11 + 16. Calculate x(s). 23 Let k be 636/(-106) - 1*(-3 + (0 - -2)). Let d(w) = -3*w**3 - 4*w**2 - 6*w + 4. Let r(m) = m**3 - m**2 + m - 1. Let y(g) = d(g) + 2*r(g). Give y(k). -3 Let g(m) = -23*m**3 - 3*m**2 + 34*m + 30. Let n(f) = -10*f**3 - f**2 + 16*f + 13. Let p(a) = -3*g(a) + 7*n(a). Determine p(4). 9 Let w(n) = 2*n**2 - 33*n + 105. Let o be w(12). Let q(l) = 4*l**2 + 4*l + 1 + l**3 - l - l. Calculate q(o). 4 Suppose -57 + 126 = 3*x - 12*d, -d + 4 = 3*x. Let v(h) be the second derivative of 1/3*h**x - 3/2*h**2 + 0 - 44*h. Determine v(7). 11 Let g(f) = 2*f**3 - 3*f**2 + f - 1. Let z be g(2). Let m(d) = d - z + 0*d + 3. Let a be 35/7 + (-5 - (-5 - 3)). Calculate m(a). 6 Let d(g) = -3 + 2 + 1 - 6 + g. Let c be (-4)/10*1 + 7 + (-126)/35. What is d(c)? -3 Suppose -2*w = -s - 8, -2*s + 0*w = -5*w + 19. Let l(i) = i**2 + 78*i + 153. What is l(s)? 1 Let n(w) = w**2 - 28. Let g be n(5). Let r(f) = 9*f**2 + 2*f + 2. Give r(g). 77 Let v(a) = -2*a + 4. Suppose 0*j = -3*j - 2*d + 10, 0 = d - 2. Suppose p + 5*b - 23 = 0, 2*p + 87*b - 7 = 90*b. Let m be -3 - j - p/(-12)*3. Give v(m). 10 Let x(t) = t**3 - 4*t**2 - t - 1. Let v be x(4). Let f(j) be the first derivative of -j**3/3 - 2*j**2 + 3*j + 7962. Calculate f(v). -2 Let l(q) be the first derivative of q**2/2 + 7*q + 370. Let x(b) = -4*b + 25. Let v be x(10). What is l(v)? -8 Let x(k) be the third derivative of 13*k**4/24 - k**2 + 1642*k. Give x(2). 26 Suppose -127*l = 69*l + 3528. Let f(t) = -t - 25. What is f(l)? -7 Let b be 6 - 3/(60/(-100)). Let j(q) = 10*q - 82. Determine j(b). 28 Let w(u) = 9*u**2 - 3*u - 2. Let g(p) be the third derivative of -p**5/12 + p**4/12 + p**3/6 + 20*p**2 + p. Let c(t) = 11*g(t) + 6*w(t). Give c(4). -1 Let o be -2*10/6*3. Let f(r) be the third derivative of r**6/120 + r**5/6 + 11*r**3/6 + 83*r**2 - 348. Determine f(o). 11 Let m(i) = -i**3 + 4*i**2 + 8*i - 7. Let b be 32/(-4)*6/((-96)/20). Suppose 21*u = 19*u + b. Calculate m(u). 8 Let p(f) = 11*f**3 - 39*f**2 - 2*f - 2. Let x(m) = -2*m**3 + 5*m**2 + 3. Let i(o) = p(o) + 6*x(o). What is i(-9)? 34 Let r(f) = 17*f - 150. Let n be r(9). Let v(x) = 2613 - 1304 - 2*x + x**n - 1308 - 2*x**2. Determine v(3). 4 Let b(o) = o**2 + 4*o + 3. Let y(c) = c**3 + 8*c**2 + 4*c - 16. Let f be y(-7). Suppose -f*n + 8*n = -87. Let h = n - -24. Calculate b(h). 8 Let q = 49 - 33. Let y = q - 8. Let m(n) be the first derivative of n**3/3 - 3*n**2 - 10*n + 2209. Give m(y). 6 Let s(n) = -123*n**2 - 31*n - 30. Let h be s(-1). Let m = h + 126. Let v(a) = -4*a + 4. Give v(m). -12 Let g = -675 + 677. Let q(a) = -3*a**2 - 4*a + 4. Calculate q(g). -16 Let j(a) be the first derivative of -7*a**2/2 + 2*a - 130. Let l(q) = -2*q**3 - 10*q**2 - 3*q - 13. Let c be l(-5). Calculate j(c). -12 Let q be (21 - 8) + (-5)/(-10)*-14. Let a(t) = -10*t + 10. Calculate a(q). -50 Let y(l) = l**3 - 7*l**2 - 17*l - 10. Let h(a) = -4*a**2 - 166*a - 381. Let n be h(-39). Determine y(n). -1 Let u(b) = 19*b + 14. Let k(d) = -6*d - 4. Let m(a) = 2*k(a) + u(a). Suppose 7 = -9*o + 10*o. What is m(o)? 55 Let j(f) be the second derivative of f**3/6 + f**2 + 96*f. Let u(m) = 2*m - 7. Let p be u(6). Give j(p). 7 Let y(q) = -q**3 - q**2 + 44*q - 2. Let o be y(0). Let n(d) = 12*d - 1. Let h(g) = -13*g + 1. Let b(f) = 2*h(f) + 3*n(f). What is b(o)? -21 Let q(t) = 6*t - 7*t**2 + 5*t - 8 - 2*t - 7 - 6. Let y(o) = -15*o**2 + 17*o - 43. Let u(w) = 13*q(w) - 6*y(w). Calculate u(10). 35 Suppose 0 = -3278*p + 3268*p + 100. Let a(b) = -2*b**2 + 23*b + 4. Calculate a(p). 34 Let w(t) = 11 + 41*t**2 + 3*t + 43*t**2 + 47*t**2 - 132*t**2 + 3*t. Determine w(6). 11 Let s(y) = -98628236 - 5*y + y**3 + 5*y**2 + 98628229 + 0*y. Suppose 5*g = 2*a - 24, 6*g + 33 = g - a. Determine s(g). -13 Let t be (35/15 - 3)*1*6. Let v = t + 8. Let g(f) = 10 - 4*f + v*f + 5*f - 2*f. Calculate g(-7). -11 Let v(z) = z**3 - 10*z**2 - 12*z + 8. Let n be v(11). Let o(r) = r**2 - 6*r + 5. Let l be o(6). Let w(b) = -l + 351*b - 349*b + 3. What is w(n)? -8 Let f(a) = -a - 8. Suppose -11 = 4*o - 31. Suppose -26 = 4*q + o*d, 0 = -2*d + 2 + 2. Determine f(q). 1 Let d = -16 - -22. Suppose -62 = -8*k + 50. Let l(u) = d*u + u - 8 - u**2 + k - 15. Give l(7). -9 Let s = -5 + 8. Let t(g) be the first derivative of -g**4/12 + g**3/3 - g**2 - 25*g - 50. Let k(f) be the first derivative of t(f). What is k(s)? -5 Suppose 229*k - 222*k + 3808 = 0. Let t = k - -544. Let m(i) = i**3 + i**2 + i + 8. Determine m(t). 8 Let g be -5 - (-11)/1 - 217/42. Let c(d) be the second derivative of -g*d**3 + 16*d - 1/12*d**4 + 5/2*d**2 + 0. What is c(-6)? -1 Let v(a) = 165*a + 993. Suppose 3*s = 5*t + 24, -29*t + 4*s = -22*t + 34. Calculate v(t). 3 Let c(p) = -2*p**2 - 41*p + 47. Let o be 868/(-372)*((-10)/(-15))/(2/27). Give c(o). 26 Let p = 21 + -32. Let t(w) = w - 2. Let d(o) = 4*o + 11. Let r(v) = -d(v) + 3*t(v). Let k(g) = g + 19. Let y(h) = -2*k(h) - 3*r(h). Determine y(p). 2 Let y(j) = -j**2 + 14*j - 19. Let a = -3080 - -3095. Determine y(a). -34 Let w be 1 - 0 - (-2 - -3). Let p be 2/14*15 - (-1)/(-7). Let r(z) = -z + 33*z**2 + 4*z**2 + 3 + 3*z**2 - 41*z**p. Give r(w). 3 Let w(h) = -h**2 + 0*h + 2 + 2 + 5*h + h. Let x be ((-4)/(-80)*35)/((-1)/(-4)). Determine w(x). -3 Suppose 41 = 43*p + 428. Let d(j) = -9*j + 9. Give d(p). 90 Let m(d) = -d**2 + 6*d + 32. Suppose -942*o + 1014*o = 792. What is m(o)? -23 Let m(f) = -4*f**2 - 63*f + 310. Let p be m(4). Let o(r) = -6*r - 43. Give o(p). -7 Suppose 2*r + 3*j = 30, -3*r + 0*r = 2*j - 40. Let l be (-16)/r*(-6)/8*2. Let t(w) = 4*w**3 + 13*w**2 + w - 12*w**l - 6*w**3 + 0*w**3. What is t(-1)? 2 Let i(t) = -5*t + 17. Suppose -3*z - 279*v - 11 = -284*v, -5*z - 5*v = 45. Give i(z). 52 Let h(s) = -7*s**3 - 10*s**2 + 7*s + 13. Let z(r) = 16*r**3 + 20*r**2 - 14*r - 27. Let n(v) = -9*h(v) - 4*z(v). What is n(10)? -79 Let b(o) = -3*o + 9. Suppose -75 = 107*r - 108*r. Suppose 63 + r = 23*i. Give b(i). -9 Let m = 116 + -112. Let y(t) = 30 - 14 - 12 + 4*t + m*t. Give y(-2). -12 Let c be (5544/60)/((-111)/30 + 4). Let f = c + -301. Let s(h) = -h - 9. What is s(f)? -16 Let s(r) = -r - 13. Let i(p) = 2*p + 26. Let k(u) = 6*i(u) + 11*s(u). Suppose -95 = 5*h + 10*f, 23*h + 41 = 19*h - f. Calculate k(h). 4 Let o(x) = -x + 5. Suppose -51*d - 11098 + 54499 = 0. Let a = -842 + d. Give o(a). -4 Let h(w) be the second derivative of -w**5/20 - 4*w**4/3 + 3*w**3 + 13*w**2/2 + 4*w. Let p be h(-17). Let a(o) = -3*o - 3. Determine a(p). 9 Let x(w) be the third derivative of -w**4/24 - 29*w**3/6 - 61*w**2 + 2*w + 5. What is x(8)? -37 Suppose -381*g + 633 + 979 = 469. Let u(x) = 5*x + 19. Determine u(g). 34 Suppose 0 = -116*y + 127*y + 22. Let g(w) = 13*w**3 + 2*w + 2. What is g(y)? -106 Let y(w) = 2. Suppose 4*v - 3*n = 65, -n + 53 = 6*v - 2*v. Let l(z) = 6 - 15*z + v*z - 10. Let g(d) = -6*l(d) - 13*y(d). What is g(4)? 22 Suppose 1 = -4*u + 5. Let a be -3*1 - 4/(28/(-49)). Let p(f) = 3*f - 4. Let q(
{ "pile_set_name": "DM Mathematics" }
e the greatest common factor of 20 and 2020. 20 What is the greatest common factor of 40 and 15? 5 Calculate the greatest common divisor of 261 and 2523. 87 Calculate the greatest common divisor of 364 and 1118. 26 What is the greatest common divisor of 52 and 988? 52 What is the greatest common factor of 5035 and 530? 265 Calculate the greatest common factor of 3130 and 70. 10 Calculate the greatest common divisor of 640 and 5. 5 Calculate the greatest common divisor of 171 and 152. 19 What is the highest common factor of 234 and 598? 26 What is the greatest common factor of 4964 and 68? 68 Calculate the highest common factor of 114 and 874. 38 Calculate the highest common factor of 682 and 434. 62 What is the highest common factor of 186 and 17670? 186 Calculate the greatest common divisor of 8475 and 15. 15 Calculate the greatest common factor of 32 and 928. 32 What is the highest common divisor of 204 and 22916? 68 What is the greatest common divisor of 126 and 1050? 42 Calculate the highest common divisor of 20 and 6140. 20 What is the highest common factor of 2173 and 164? 41 What is the highest common factor of 2640 and 640? 80 Calculate the highest common divisor of 123 and 12. 3 Calculate the highest common divisor of 248 and 1116. 124 What is the greatest common divisor of 266 and 10? 2 What is the greatest common divisor of 90 and 288? 18 Calculate the highest common divisor of 270 and 120. 30 Calculate the highest common divisor of 425 and 3655. 85 What is the greatest common factor of 1088 and 204? 68 Calculate the greatest common divisor of 4841 and 47. 47 Calculate the highest common factor of 135 and 6345. 135 Calculate the highest common factor of 85 and 4267. 17 What is the greatest common divisor of 330 and 105? 15 Calculate the highest common divisor of 1912 and 239. 239 Calculate the greatest common divisor of 910 and 520. 130 What is the greatest common divisor of 748 and 2329? 17 What is the greatest common factor of 160 and 200? 40 Calculate the highest common divisor of 106978 and 89. 89 Calculate the highest common factor of 48 and 368. 16 What is the greatest common divisor of 25 and 320? 5 What is the highest common divisor of 8 and 47? 1 Calculate the greatest common factor of 33 and 99. 33 What is the greatest common divisor of 2167 and 788? 197 What is the greatest common divisor of 98 and 2303? 49 Calculate the greatest common divisor of 12636 and 52. 52 Calculate the greatest common divisor of 19 and 76. 19 What is the greatest common divisor of 390 and 960? 30 What is the greatest common divisor of 280 and 920? 40 Calculate the greatest common factor of 335 and 134. 67 Calculate the highest common factor of 133 and 38. 19 What is the highest common divisor of 69 and 207? 69 What is the greatest common factor of 119 and 1088? 17 What is the highest common factor of 2662 and 13552? 242 Calculate the highest common divisor of 12 and 4044. 12 What is the greatest common factor of 2384 and 112? 16 Calculate the greatest common divisor of 2301 and 390. 39 What is the highest common divisor of 15 and 995? 5 Calculate the highest common factor of 6 and 138. 6 Calculate the greatest common divisor of 28 and 160. 4 What is the highest common divisor of 75 and 400? 25 Calculate the greatest common divisor of 177 and 295. 59 Calculate the greatest common divisor of 102 and 39066. 102 What is the highest common factor of 6321 and 387? 129 Calculate the greatest common divisor of 5 and 235. 5 What is the highest common factor of 20 and 940? 20 Calculate the highest common factor of 20 and 500. 20 Calculate the greatest common divisor of 550 and 4450. 50 Calculate the greatest common divisor of 76 and 684. 76 What is the highest common factor of 231 and 21? 21 What is the greatest common factor of 20 and 95? 5 What is the highest common factor of 1498 and 21? 7 What is the highest common divisor of 5 and 7730? 5 What is the highest common factor of 63 and 7? 7 Calculate the greatest common factor of 63 and 1953. 63 Calculate the greatest common divisor of 54 and 2. 2 What is the highest common factor of 876 and 24? 12 Calculate the greatest common factor of 4646 and 46. 46 What is the highest common factor of 2 and 178? 2 Calculate the highest common factor of 58 and 554. 2 What is the greatest common divisor of 750 and 30? 30 What is the greatest common factor of 7 and 1939? 7 Calculate the highest common factor of 15 and 245. 5 Calculate the highest common divisor of 15 and 55. 5 What is the greatest common factor of 204 and 7803? 51 Calculate the greatest common factor of 16 and 9392. 16 Calculate the highest common factor of 42 and 2639. 7 Calculate the highest common divisor of 12699 and 498. 249 What is the greatest common divisor of 20 and 12? 4 Calculate the greatest common divisor of 152 and 33326. 38 What is the greatest common divisor of 155 and 26195? 155 Calculate the highest common divisor of 154 and 56. 14 Calculate the greatest common divisor of 356 and 623. 89 Calculate the greatest common divisor of 42 and 294. 42 What is the highest common divisor of 2912 and 91? 91 Calculate the greatest common divisor of 1717 and 408. 17 Calculate the greatest common factor of 217 and 31. 31 What is the highest common divisor of 52 and 403? 13 Calculate the highest common factor of 30 and 13710. 30 What is the highest common divisor of 96 and 32? 32 Calculate the highest common factor of 53 and 212. 53 Calculate the greatest common divisor of 712 and 16. 8 What is the highest common divisor of 33 and 153? 3 What is the greatest common factor of 10857 and 231? 231 What is the highest common factor of 102 and 12? 6 What is the greatest common factor of 8 and 2104? 8 Calculate the highest common factor of 114 and 10. 2 What is the highest common factor of 3774 and 1326? 102 What is the highest common factor of 2528 and 1027? 79 What is the highest common factor of 30 and 6? 6 What is the greatest common factor of 77 and 473? 11 What is the highest common factor of 428 and 52? 4 Calculate the highest common divisor of 720 and 36. 36 What is the highest common factor of 154 and 110? 22 What is the highest common factor of 459 and 34? 17 What is the highest common factor of 227 and 9? 1 Calculate the greatest common divisor of 112 and 70. 14 Calculate the highest common factor of 522 and 36. 18 What is the highest common factor of 260 and 120? 20 Calculate the greatest common factor of 13 and 117. 13 Calculate the highest common factor of 7051 and 11. 11 What is the greatest common divisor of 4 and 30? 2 What is the greatest common divisor of 30 and 640? 10 Calculate the highest common divisor of 40 and 312. 8 Calculate the greatest common factor of 5085 and 18. 9 Calculate the highest common divisor of 135 and 8748. 27 What is the greatest common factor of 9455 and 155? 155 What is the greatest common factor of 13840 and 80? 80 What is the greatest common divisor of 96444 and 141? 141 Calculate the highest common factor of 99 and 2673. 99 Calculate the highest common factor of 5432 and 98. 14 Calculate the highest common factor of 330 and 180. 30 Calculate the greatest common divisor of 31 and 16492. 31 What is the greatest common divisor of 575 and 1850? 25 Calculate the greatest common factor of 708 and 36. 12 What is the greatest common factor of 280 and 35? 35 What is the greatest common divisor of 31 and 5? 1 Calculate the greatest common factor of 6024 and 276. 12 Calculate the highest common factor of 254 and 8. 2 Calculate the highest common divisor of 840 and 72. 24 What is the highest common divisor of 380 and 15? 5 What is the highest common divisor of 66 and 17688? 66 What is the highest common divisor of 162 and 270? 54 Calculate the greatest common factor of 1134 and 1876. 14 What is the greatest common factor of 222 and 6? 6 What is the highest common factor of 16 and 29? 1 What is the highest common divisor of 72 and 30492? 36 Calculate the greatest common factor of 288 and 36. 36 What is the highest common factor of 35 and 1390? 5 Calculate the greatest common divisor of 120 and 792. 24 What is the highest common divisor of 2550 and 150? 150 What is the greatest common factor of 51 and 323? 17 Calculate
{ "pile_set_name": "DM Mathematics" }
+ 2*w**2 + 5*w - 7. Let n(j) = 5*a(j) + 6*t(j). Let o = 27 - 23. What are the prime factors of n(o)? 13 Let i(n) = n**3 - n**2 - 8*n + 408. What are the prime factors of i(0)? 2, 3, 17 Suppose 19*w = 6*w + 5486. List the prime factors of w. 2, 211 What are the prime factors of -3 + (15/(-3) - (2 + -2029))? 3, 673 Suppose -3 = r - 7. Suppose 0 = 3*a + 3*c - 375, 5*c - 431 - 74 = -r*a. What are the prime factors of a? 2, 3, 5 Let u(l) = -l + 11. Let c be u(8). Suppose c*f - 155 = 148. List the prime factors of f. 101 Let r(f) = f**3 + 9*f**2 + 5*f + 13. Let g be r(-7). What are the prime factors of 16*(g/20 - (-3)/15)? 2 Let m be 0/1 - 0/12. Suppose m = 16*f - 18*f + 28. List the prime factors of f. 2, 7 Let o(t) = -14*t**3 - 6*t**2 - 27*t - 25. Let m(y) = -7*y**3 - 3*y**2 - 13*y - 12. Let h(w) = 9*m(w) - 4*o(w). List the prime factors of h(-2). 2, 3 Let g(z) = -z**3 + 3*z**2 - z + 1. Let h be g(2). Let a(t) = -4*t + 15. What are the prime factors of a(h)? 3 Let c(i) = -i + 1. Let l be c(-3). Suppose n - a = 6*n - 20, -3*n - 11 = -l*a. Suppose 3 = n*x - 24. What are the prime factors of x? 3 Suppose 0 = 10*m - 13493 - 35057. List the prime factors of m. 5, 971 Let c(l) = -l**2 - 14*l - 17. Let j be c(-12). Suppose j*y = 11*y - 312. Suppose -q + y = 2*i, i - 362 = -5*q + 5*i. What are the prime factors of q? 2, 37 Suppose -3*t = n - 110, -4*n - 1 = 3. Let k = 2 + t. What are the prime factors of k? 3, 13 Let y(o) = o**3 - 13*o**2 - 14*o. Let n be y(14). Suppose -4*z + 116 + 304 = n. List the prime factors of z. 3, 5, 7 Let j(z) = -2*z**2 + 2*z + 5. Let o(b) = -b**2 + b + 3. Let u(y) = -2*j(y) + 5*o(y). Let v be u(4). Let m = 4 - v. List the prime factors of m. 11 Let k(j) = 2*j**2 - j - 1. Let l be k(2). Suppose -l*x - 42 = 2*c, -2*c + 4 = 6. Let b(a) = a**3 + 8*a**2 - 4*a - 7. What are the prime factors of b(x)? 5 Suppose -54 + 8 = s. Suppose -4*n + q + 256 = 0, 254 + 66 = 5*n + 4*q. Let l = s + n. What are the prime factors of l? 2, 3 Let t(z) = 4*z**2 + 4*z + 3. Let u be t(-1). Suppose 0 = u*l - 5*y - 349, l + 2*l - 4*y = 347. What are the prime factors of l? 113 Let w be -1 - 2 - 1 - (-8 - -21). List the prime factors of (1 - 1) + w/(85/(-70)). 2, 7 Let a = -1023 + 1799. What are the prime factors of a? 2, 97 Let k = 9 - 1. Let g = 31 - k. Suppose -2*d + 5*z + 36 = 0, -g = -2*d + z + 5. What are the prime factors of d? 13 Suppose 1578 = 24*w - 22*w. Suppose 4*j - 799 = -4*g + j, 4*g - w = -j. List the prime factors of g. 2, 7 Suppose b = -4*b. Suppose 0 = 5*d - b*d - 2*x - 270, -3*d - x + 162 = 0. List the prime factors of d. 2, 3 Let k = 112 - 97. List the prime factors of -3*3/(-6)*2140/k. 2, 107 Suppose 6*k = 3*k + 6. Suppose k = t - 3. List the prime factors of (-1)/t - (-48)/15. 3 Suppose 3*k + k - 16 = 0. Suppose -h + 8 = k. Suppose 0 = 5*c + 5*n - 80, h = 2*c - 3*n - 13. List the prime factors of c. 13 Let z(d) = 27*d**2 + d - 8. What are the prime factors of z(-9)? 2, 5, 7, 31 Let l = 8 - 2. Let m be 2 + -1 + 21*l. Let p = m + -84. List the prime factors of p. 43 Let y be ((-5)/2)/(-5) - (-137)/(-2). Let t = y + 240. List the prime factors of t. 2, 43 Let z be -2*4/24*0. Suppose -5*a - 4*l + 399 = -z*l, 4*l + 154 = 2*a. Suppose 0 = -3*r + a + 20. List the prime factors of r. 3, 11 Suppose 2*z = 3*o - 2310, 0 = -3*o - 0*z - 2*z + 2310. List the prime factors of o. 2, 5, 7, 11 Let h(g) = 12*g - 4. Suppose 12 - 3 = j. Let u = -6 + j. List the prime factors of h(u). 2 What are the prime factors of 2526 + -21 - (3 + -12)? 2, 3, 419 Let m(n) = -n**2 + 7*n + 11. Let z be m(8). Suppose -z*d + 157 = 4*g, -67 - 53 = -3*g - 3*d. Let l = g + -18. List the prime factors of l. 19 Let m = 1021 - 486. List the prime factors of m. 5, 107 Suppose 365 + 1681 = 6*s. What are the prime factors of s? 11, 31 Let t = 134 + -376. Let j be (-2)/(-11) + (-10120)/t. Suppose x + j = 7*x. List the prime factors of x. 7 Let a(s) = s**3 - 7*s**2 + 6*s. Let t be a(6). Suppose -397 = -4*q + 5*d, 4*d = -q - t*q + 94. What are the prime factors of q? 2, 7 Suppose -4*l = 4*c - 2144, 1061 = -3*c - 2*l + 2668. What are the prime factors of c? 5, 107 Let n be 4 + (265/(-3) - (-8)/(-12)). Let r = n + 312. What are the prime factors of r? 227 What are the prime factors of (-159145)/(-105) + 1/3? 2, 379 Let d = 133 - 60. List the prime factors of d + (-2 - 1 - (-9 + 3)). 2, 19 Suppose 0*g = -d + 3*g + 6117, 5*g = 2*d - 12234. List the prime factors of -3*d/(-117) + 4/26. 157 Suppose a = 5*k - 14, 2*a + k + 13 = 6*k. List the prime factors of (a - 11/(-2))*(-3 + 17). 7, 13 Suppose 10 = -3*o + 5*p, -10 + 4 = 2*o - 3*p. Suppose 3*v - 113 - 148 = o. What are the prime factors of (v - -1)*2/4? 2, 11 Suppose -k - 7 = -3*s, 0 = 2*s + 2*k + 8 - 2. List the prime factors of (3 + (-12)/16)/(s/44). 3, 11 Suppose 0 = 6*f + 18 + 6. List the prime factors of f + 12*(-8)/(-12). 2 Suppose a + 2 = 4. Suppose -2*c = -3*c + 10. Suppose -c = -5*q + 5*i, -4 = q - 5*i + a. What are the prime factors of q? 2 Suppose -3*c - 3*x + 0*x + 10272 = 0, 0 = -c - 4*x + 3421. What are the prime factors of c? 5, 137 Suppose 0 = 3*h - 2*z - 8003, 2*h = -4*z + 3202 + 2112. List the prime factors of h. 5, 13, 41 Suppose l - 2*j = -4*l + 21, 5*l - 5*j = 30. Suppose 0 = y - l - 7. List the prime factors of y. 2, 5 Let i(t) = 120*t**3 + 2*t**2 - 1. Let g be i(1). Suppose -g = 3*y - 4*y. List the prime factors of y. 11 Suppose -2755 = 6*q - 11311. List the prime factors of q. 2, 23, 31 Suppose 0 = x + 170*p - 173*p - 5163, 5*x = -2*p + 25815. What are the prime factors of x? 3, 1721 Let i = -7 - -7. Suppose -3*j + 0*j + 3 = i. Let w(s) = 22*s**3 + s**2 + s - 1. What are the prime factors of w(j)? 23 Let d = -158 + 221. Suppose v = 3*y - 3*v - 191, v = 4*y - 246. Suppose 3*r + 0*r = -4*n + y, 3*r + 3*n = d. What are the prime factors of r? 23 Suppose -30 = k - 9. Let u = 185 + -161. What are the prime factors of (k/(-4))/(u/64)? 2, 7 Let b(r) = -8*r**2 + 33*r**2 + 4*r**2. Suppose 2 = 3*z - 1. What are the prime factors of b(z)? 29 Suppose -5*q - 3*v = -116, 2*q = 4*v - 2 + 64. Let z = 2 + q. What are the prime factors of (-6)/z + 930/54? 17 Let v be (-6)/(-9)*(5 + (2 - 4)). Let i(z) = 30*z - 3. What are the prime factors of i(v)? 3, 19 Suppose 3*q + r = 10, 2 = q + r - 2. Suppose 2 = -u, b - 2*b = 3*u + 3. Suppose -b*h - m + 22 = 0, -m + 4*m = q*h - 42. What are the prime factors of h? 3 Suppose 0 = -f + 38 + 15. Suppose 4*g - f = 491. What are the prime factors of g? 2, 17 Let p(q) = 2*q - 4. Let r be p(4). Suppose w - 4*t - 24 = 0, -r*w + 0*w + 16 = 4*t. List the prime factors of w. 2 Suppose 82 = -2*x + 7*x + 2*s, -2*x + 28 = -4*s. Let k = x - 1. What are the prime factors of k? 3, 5 Let x(j) = j**2 - 50*j + 54. List the prime factors of x(49). 5 Let n(u) = u**3 - 7*u**2 - 8*u + 2. Let l be n(8). Let x(h) = 3 - 2 + 2 - 7*h - l. List the prime factors of x(-2). 3, 5 Suppose -j - j = -4, 2*j = -v + 71. Let p = -17 + v. What are the prime factors of p? 2, 5 Let s(n) = 377*n - 13. Let p be s(2). Suppose -13 + p = 8*u. List the prime factors of u. 7, 13 Suppose 2*s - 121 = -5*r, 4*r = -5*s + 146 + 131. Suppose 30 + s = v. List the prime factors of v. 83 Suppose 8*o - 2382 - 2490 = 0. List the prime factors of o. 3, 7, 29 Let y be 5*(-3)/((-15)/4). Let n(q) = 2 + 5*q**3 + 0*q**3 - 3*q**2 - 5*q - y*q**3 + 0*q. What are the prime factors of n(5)? 3 Let g = -1 - 2. Let p be (-1 - g - 3)*1. List the prime factors of (3 - (0 - 20)) + p. 2, 11 Suppose n - 8 - 10 = 0. List the prime factors of (174/9)/(6/n). 2, 29 Suppose 2*b - 133 = 73. Let p = b - 12. Suppose 0 = 2*q - p - 3. What are the prime factors of q? 47 What are the prime factors of (-8178)/(-235)*390/9? 2, 13, 29 List the prime factors of (3 - 9)*403/(-39). 2, 31 Let j(y) = -185*y**3 - 10*y**2 - 5*y - 2. What are the prime factors of j(-3)? 2, 2459 Let t(g) = g**3 + 9*g**2 + 8*g + 10. Let a be t(-8). Let r be (8/(-10))/(a/(-75)). Suppose 4*h - 98 = -3*s, 2*s = h - r*h + 56. What are the prime factors of s? 2, 19 Let x be -6*((-7)/(-2))/(-7). Suppose -x*i + 2 = -2*b, 2*i = -3*b + 1 + 9. List the prime factors of 55 + (-4 + b - -3). 2, 7 Let u = -16 + 79. Suppose 19 + u = 2*p. What are the prime factors of p? 41 Suppose -o - 4*x + x = -12, -4*o = 5*x - 69. Suppose
{ "pile_set_name": "DM Mathematics" }
test common divisor of 17289 and 408. 51 What is the greatest common factor of 12858 and 6? 6 Calculate the greatest common factor of 1564 and 157148. 68 What is the highest common divisor of 1105 and 1053? 13 Calculate the highest common factor of 3822 and 20433. 147 Calculate the greatest common divisor of 80 and 368. 16 What is the highest common divisor of 3927 and 62139? 231 What is the highest common factor of 273 and 209027? 91 Calculate the greatest common factor of 856 and 149968. 8 Calculate the greatest common divisor of 175 and 1939. 7 Calculate the greatest common factor of 3915 and 15138. 261 Calculate the greatest common factor of 3150 and 558. 18 Calculate the greatest common factor of 433184 and 32. 32 Calculate the highest common factor of 2385 and 171. 9 What is the highest common factor of 6164 and 172? 4 Calculate the greatest common factor of 144948 and 24. 12 What is the greatest common factor of 60 and 1038360? 60 Calculate the greatest common factor of 14 and 26614. 14 Calculate the greatest common factor of 1246 and 1834. 14 What is the highest common divisor of 11217377 and 197? 197 Calculate the greatest common factor of 490775 and 1172. 293 Calculate the greatest common divisor of 1857937 and 951. 317 Calculate the greatest common factor of 2124 and 2087361. 531 What is the highest common factor of 3672 and 7416? 72 What is the highest common factor of 109544 and 8? 8 What is the highest common factor of 1411 and 16148895? 1411 Calculate the greatest common factor of 210 and 19362. 42 Calculate the highest common divisor of 28216 and 8. 8 What is the greatest common factor of 3081 and 8697? 39 What is the greatest common divisor of 12 and 4343748? 12 Calculate the highest common divisor of 384983 and 367. 367 What is the greatest common factor of 14504 and 350? 14 What is the highest common divisor of 620 and 377332? 124 What is the greatest common factor of 7981302 and 21? 21 Calculate the greatest common divisor of 17252 and 106236. 908 Calculate the greatest common factor of 148 and 131968. 4 Calculate the highest common factor of 422280 and 440. 40 What is the highest common factor of 215736 and 1424? 712 Calculate the greatest common factor of 21994948 and 71. 71 What is the highest common factor of 504968 and 1896? 632 What is the greatest common divisor of 4185 and 158193? 837 Calculate the greatest common factor of 8730 and 2790. 90 What is the greatest common factor of 6 and 56712? 6 What is the highest common divisor of 252 and 72338? 14 Calculate the highest common factor of 46470 and 60. 30 Calculate the highest common divisor of 1618206 and 6. 6 Calculate the greatest common factor of 733272 and 144. 24 Calculate the highest common divisor of 240 and 165390. 30 What is the greatest common factor of 48760 and 368? 184 Calculate the greatest common factor of 1853882 and 642. 214 What is the greatest common factor of 13799775 and 825? 825 What is the highest common factor of 1878 and 1636364? 626 What is the highest common factor of 70 and 22410? 10 What is the highest common divisor of 121902 and 66? 66 Calculate the greatest common divisor of 1001308 and 616. 308 What is the highest common factor of 6144 and 23184? 48 What is the highest common factor of 108 and 261333? 27 Calculate the highest common divisor of 198 and 6087. 3 What is the greatest common factor of 201612 and 159? 159 Calculate the greatest common divisor of 848 and 13504. 16 Calculate the highest common divisor of 438 and 184252. 146 What is the highest common divisor of 218 and 5719884? 218 What is the highest common divisor of 380 and 508? 4 What is the greatest common factor of 3 and 3277? 1 Calculate the highest common factor of 99164 and 104. 52 Calculate the highest common divisor of 34277 and 3926. 151 What is the highest common divisor of 77 and 327894? 7 Calculate the greatest common divisor of 1537 and 14152. 29 What is the greatest common factor of 224 and 9152? 32 Calculate the greatest common factor of 894 and 188038. 298 What is the highest common factor of 24 and 18870? 6 What is the greatest common divisor of 84 and 192332? 28 What is the highest common factor of 2178 and 21? 3 Calculate the greatest common factor of 16 and 125968. 16 Calculate the highest common factor of 497720 and 3680. 920 Calculate the greatest common factor of 143 and 10517. 13 What is the highest common divisor of 277295 and 155? 155 Calculate the highest common factor of 193480 and 280. 280 Calculate the highest common factor of 1353 and 1155. 33 What is the highest common factor of 980 and 4663820? 980 Calculate the greatest common factor of 81696 and 18492. 276 What is the highest common divisor of 8600 and 1975? 25 What is the greatest common divisor of 284 and 70858? 142 Calculate the greatest common divisor of 117 and 1085097. 39 Calculate the highest common factor of 83065 and 185. 185 What is the greatest common divisor of 100 and 44750? 50 What is the highest common factor of 10196 and 16? 4 Calculate the greatest common divisor of 1122 and 1551. 33 What is the greatest common divisor of 4 and 173467? 1 Calculate the greatest common divisor of 40 and 39480400. 40 Calculate the greatest common divisor of 238 and 138210. 34 Calculate the highest common factor of 77390 and 20710. 1090 What is the greatest common factor of 45882 and 27? 9 What is the highest common divisor of 1849 and 5504? 43 Calculate the greatest common factor of 19 and 14703587. 19 What is the greatest common factor of 90 and 773600? 10 Calculate the highest common factor of 866 and 395762. 866 What is the greatest common divisor of 847 and 613954? 121 Calculate the greatest common divisor of 279096 and 4176. 696 What is the highest common factor of 1960 and 48860? 140 Calculate the highest common divisor of 52419 and 12423. 303 Calculate the greatest common factor of 204 and 16116. 204 Calculate the greatest common divisor of 77360 and 320. 80 Calculate the highest common divisor of 1125656 and 56. 56 Calculate the highest common divisor of 276 and 529. 23 What is the greatest common factor of 420 and 5740? 140 Calculate the highest common divisor of 141 and 3362850. 141 What is the greatest common divisor of 7821 and 42768? 99 Calculate the greatest common factor of 11836 and 15602. 538 What is the highest common factor of 73 and 13943? 73 Calculate the greatest common divisor of 2 and 91642. 2 Calculate the greatest common factor of 450 and 57600. 450 Calculate the greatest common divisor of 14805 and 1880. 235 What is the highest common factor of 14 and 240254? 14 What is the greatest common factor of 3840 and 9472? 256 Calculate the highest common divisor of 73450 and 5200. 650 What is the greatest common factor of 32896 and 754552? 2056 What is the greatest common factor of 1053 and 2665? 13 Calculate the greatest common divisor of 24232 and 832. 104 What is the greatest common factor of 657 and 1117411? 73 What is the highest common factor of 320 and 9485? 5 Calculate the highest common factor of 51150 and 66. 66 Calculate the greatest common divisor of 19514 and 5126. 22 What is the greatest common divisor of 28 and 1769152? 28 Calculate the highest common divisor of 274959 and 822. 411 Calculate the greatest common factor of 9120 and 312816. 912 Calculate the greatest common factor of 18298 and 98. 14 What is the highest common divisor of 1600 and 215? 5 Calculate the greatest common factor of 1320 and 3630. 330 What is the highest common factor of 246047 and 31? 31 Calculate the highest common divisor of 343043 and 527. 17 What is the highest common divisor of 192880 and 248? 8 What is the greatest common factor of 81 and 149391? 27 Calculate the highest common factor of 404569 and 396. 11 Calculate the highest common divisor of 3698 and 2150. 86 What is the greatest common factor of 1956 and 366? 6 What is the highest common divisor of 6 and 8254? 2 Calculate the greatest common divisor of 117 and 14265. 9 Calculate the highest common divisor of 26811 and 459. 27 What is the greatest common divisor of 4256835 and 45? 15 Calculate the greatest common divisor of 117515 and 15. 5 What is the highest common divisor of 3481 and 944? 59 What is the greatest com
{ "pile_set_name": "DM Mathematics" }
alculate h. -1/4, 0, 6/7 Let z(q) be the third derivative of q**5/20 - q**4/6 + q**3/6 + q**2 - 50*q. Let m(x) = -x**2 + 2*x - 1. Let t(h) = m(h) + z(h). Factor t(g). 2*g*(g - 1) Suppose -2*h + 4*r + 30 = 2*r, -5*h + 4*r = -70. Let f(m) be the first derivative of -2/3*m**3 + 0*m**2 + h + 2*m**4 + 0*m - 6/5*m**5. Factor f(o). -2*o**2*(o - 1)*(3*o - 1) Let f(i) be the first derivative of -5*i**3/3 + 75*i**2/2 - 220*i - 1180. Solve f(p) = 0. 4, 11 Let s(c) be the second derivative of 5*c**4/12 + 1050*c**3 + 992250*c**2 - 573*c + 1. Factor s(z). 5*(z + 630)**2 Let f(w) = 4*w**4 + 138*w**3 - 144*w**2 - 263*w + 6. Let q(g) = 20*g**4 + 692*g**3 - 720*g**2 - 1312*g + 32. Let a(s) = -16*f(s) + 3*q(s). Solve a(y) = 0. -34, -1, 0, 2 Let m(w) = 3*w**3 - 75*w**2 + 9*w - 223. Let d be m(25). Find k such that 136/11*k - 76/11*k**d - 80*k**4 - 16/11 - 22*k**5 - 866/11*k**3 = 0. -2, -1, 2/11 Suppose b - c - 102 = 457, -b - 4*c = -569. Find w, given that -5*w**3 - b*w**2 + 0*w**3 + 546*w**2 + 5*w**5 + 15*w**4 = 0. -3, -1, 0, 1 Factor 40/7*h + 2/7*h**2 + 198/7. 2*(h + 9)*(h + 11)/7 Let z = -3/1450 + 187/20300. Let t(c) be the third derivative of 0*c**3 + 1/70*c**5 + 0 + z*c**6 + 18*c**2 + 1/84*c**4 + 1/735*c**7 + 0*c. Factor t(f). 2*f*(f + 1)**3/7 Let t(p) be the first derivative of -p**5/45 - 31*p**4/18 - 92*p**3/3 + 231*p**2 - 363*p + 1179. Find o, given that t(o) = 0. -33, 1, 3 Suppose -893/2*u**2 - 289/2*u**4 - 231/2*u - 9 - 969/2*u**3 = 0. Calculate u. -2, -1, -3/17 Let l(u) be the first derivative of -7*u**5/50 + u**4/30 + u**2/2 + 11*u - 65. Let v(p) be the second derivative of l(p). Factor v(o). -2*o*(21*o - 2)/5 Let k(t) be the third derivative of 0*t + 0 - 1/630*t**5 - 1156/63*t**3 + 17/63*t**4 - 8*t**2. Factor k(p). -2*(p - 34)**2/21 Let -2/7*t**2 - 170/7 - 44/7*t = 0. What is t? -17, -5 Let z(j) = 3*j**2 + 2317*j - 6976. Let y be z(3). Factor 3/5 + 4/5*c + 1/5*c**y. (c + 1)*(c + 3)/5 Let -472*n**3 + 100*n**2 + 952*n**3 - 485*n**3 + 345*n = 0. What is n? -3, 0, 23 Let u be ((-4)/(-11) - (-3600)/(-17160))/(93/806). Suppose 3*v - 7*v = -24. Factor u*o**3 + v*o**2 + 0 + 8/3*o. 2*o*(o + 4)*(2*o + 1)/3 Let v(k) = 4*k**2 + k. Let t be v(1). Factor -30 + 30*l - 16*l**2 - t + 21*l**2. 5*(l - 1)*(l + 7) Let b(f) be the first derivative of f**6/12 - f**5/5 + f**4/8 + 3586. Let b(a) = 0. Calculate a. 0, 1 Let u(p) be the second derivative of 3*p**5/20 - 7*p**4/4 - 17*p**3/2 - 27*p**2/2 - 1342*p. Factor u(h). 3*(h - 9)*(h + 1)**2 Let m(a) be the first derivative of -2*a**3/3 - 4*a**2 - 6*a - 3214. Factor m(f). -2*(f + 1)*(f + 3) Determine i so that 19/2*i - 1/4*i**2 - 18 = 0. 2, 36 Suppose -2*y - 4*b + 21 = -b, 2*y + 5*b = 31. Let k = 1559 - 1556. Determine a so that 3*a + 25 - 4*a**5 - 26 - 2*a**2 + k*a**5 + 3*a**4 - 2*a**y = 0. -1, 1 Find r such that 108*r**2 - 49*r**2 - 68*r**2 - 15*r**3 + 3*r**4 + 30 + 39*r = 0. -1, 2, 5 Let b = 1373 + -238. Find m, given that 168*m + b - 34*m**2 - 3487 + 31*m**2 = 0. 28 Find q, given that 677217746/3 - 12544/3*q**3 - 2913460*q**2 - 2*q**4 - 676246128*q = 0. -697, 1/3 Let s(k) be the first derivative of -2*k**5/45 - 4*k**4/3 - 170*k**3/27 - 34*k**2/3 - 80*k/9 - 2053. What is n in s(n) = 0? -20, -2, -1 Let s(j) be the third derivative of -j**7/175 - 276*j**6/25 - 203136*j**5/25 - 12459008*j**4/5 + 188*j**2. Factor s(v). -6*v*(v + 368)**3/5 Let v(u) be the first derivative of u**4 + 24*u**3 + 120*u**2 - 800*u - 67. Let v(d) = 0. What is d? -10, 2 Factor 0*q + 0 - 40/9*q**2 + 2*q**3. 2*q**2*(9*q - 20)/9 Let f(r) be the second derivative of 0 - 560*r**3 - 42/5*r**5 + r - 2/15*r**6 - 481/3*r**4 - 800*r**2. Find i such that f(i) = 0. -20, -1 Let x = -127/9 - -488/45. Let l = x + 1003/105. Find b such that 4/7*b**3 - l*b + 16/7*b**4 - 48/7*b**2 - 8/7 = 0. -1, -1/4, 2 Let k(y) = 2*y**3 - 27*y**2 - 6*y + 21. Let n be k(14). Suppose -4*f = -n - 7. Factor 25*x + f*x + 2*x**2 - 44*x. 2*x*(x + 8) Let f be -8*((-18)/4 + 4). Let m be f/(-20)*-5 - -2. Factor 2/5*j**m + 0*j**2 - 2/5*j + 0. 2*j*(j - 1)*(j + 1)/5 Let l = 129 - 121. Factor -14*p + 12 - p**3 + l*p**2 - 5*p + 0*p. -(p - 4)*(p - 3)*(p - 1) Let c(l) = -20*l**2 - 1336*l + 1344. Let f(x) = -44*x**2 - 2672*x + 2689. Let y(b) = 9*c(b) - 4*f(b). Factor y(s). -4*(s - 1)*(s + 335) Let c(v) = -370*v**2 - 1119*v + 1125. Let n(z) = -53*z**2 + z. Let f(t) = 2*c(t) - 14*n(t). Solve f(x) = 0. 1, 1125 Let k be ((208/(-168))/13)/(48/(-14)). Let o(q) be the second derivative of -1/24*q**4 + 0 + 0*q**5 + 0*q**2 + 1/45*q**6 - 18*q + k*q**3. Factor o(j). j*(j + 1)*(2*j - 1)**2/6 Let x(q) = q**3 - 11*q**2 - 22*q - 15. Let m be x(13). Factor -22*a**2 + 34*a - 16*a**2 + m*a**2. -a*(a - 34) Let b(k) be the second derivative of 2/13*k**3 - 1/78*k**4 + k - 20 - 8/13*k**2. Factor b(u). -2*(u - 4)*(u - 2)/13 Let c(g) be the second derivative of -g**5/160 - g**4/12 + 7*g**3/12 + 5*g**2 - 1041*g. Find f such that c(f) = 0. -10, -2, 4 Let b be 9 + -2 - (6 + -5). Suppose 10*d = 34 + b. Suppose -2/5*m**2 - 8/5 - 16/5*m - 2/5*m**5 + 2*m**3 + 2/5*m**d = 0. What is m? -1, 2 Factor -787/4*u**2 - 911/2*u - 3/4*u**3 - 130. -(u + 2)*(u + 260)*(3*u + 1)/4 Let o(j) be the second derivative of j**6/25 + 67*j**5/50 + 101*j**4/15 - 196*j**3/5 - 216*j**2/5 - j + 196. Suppose o(h) = 0. What is h? -18, -6, -1/3, 2 Let n(x) be the first derivative of 3*x**4/4 - 50*x**3 - 156*x**2 + 1073. Find v, given that n(v) = 0. -2, 0, 52 Suppose -35/3*n - 1/3*n**2 + 506/3 = 0. What is n? -46, 11 Let y = -48327 + 48330. Suppose -5*z = -0*z. Determine o, given that 1/7*o**4 + z*o + 0*o**2 - 2/7*o**y + 0 = 0. 0, 2 Suppose 366 = 16*x - 34. Determine a so that 17*a - x - 15*a**2 - 43*a + 7*a + 5*a**3 - 26*a = 0. -1, 5 Let 0 + 2/13*f**3 + 486/13*f - 72/13*f**2 = 0. Calculate f. 0, 9, 27 Let d = 21/38 - -18/19. Let g(s) be the first derivative of 1/3*s**3 - 2/3*s**6 + 9/5*s**5 + 0*s + 2 + 0*s**2 - d*s**4. Factor g(v). -v**2*(v - 1)**2*(4*v - 1) Let t be (-142)/(-16) + 42/336. Suppose -2*f - 4*u = -5 + t, -f = 3*u + 4. Find x such that 8/11*x + 0 - 2/11*x**f = 0. 0, 4 Factor 25*f**3 + 221*f - 43*f - 202*f**2 - 23*f**3 + 218*f. 2*f*(f - 99)*(f - 2) Suppose -2*c + 10 = m, 12*c + 21 = 9*c. Let x(y) be the third derivative of 0 + 0*y + m*y**2 - 1/132*y**4 - 1/330*y**5 + 2/33*y**3. Factor x(s). -2*(s - 1)*(s + 2)/11 Let c(r) be the third derivative of r**6/180 + 11*r**5/15 - 511*r**4/36 + 3509*r**2. Solve c(f) = 0 for f. -73, 0, 7 Let k be (1/2)/(3 + (-411)/138). Let g(l) = 2*l - 43. Let s be g(k). Find m, given that -20*m**2 + 30 - 2*m + 5*m**s + 4*m + 3*m = 0. -1, 2, 3 Let f(k) be the first derivative of 4/3*k**3 + 103 + 3/2*k**4 + 1/6*k**6 + 0*k + 4/5*k**5 + 1/2*k**2. Solve f(q) = 0. -1, 0 Find y such that 0 - 4/7*y**4 - 48*y**2 - 256/7*y - 12*y**3 = 0. -16, -4, -1, 0 Let r(h) = 8*h**3 + 64*h**2 - 98*h + 116. Let k(m) = -15*m**3 - 127*m**2 + 211*m - 234. Let q(f) = 6*k(f) + 11*r(f). Factor q(d). -2*(d - 2)*(d - 1)*(d + 32) Let p be 1 + 33 + 48/(-6). Let j be 1*9/(-6)*(-13)/p. Factor 3/4*g + j*g**2 + 1/4*g**3 + 1/4. (g + 1)**3/4 Let l = 470116 + -1410346/3. Solve 2/3 + l*s**4 - 16/3*s**3 + 8/3*s**5 - 4/3*s**2 + 8/3*s = 0. -1, -1/4, 1 Suppose -3*q = 5*t - 260, 3*q + 2*t = -0*q + 266. Suppose -11*g + q = 7*g. Find o, given that 3*o + g*o - 2*o**5 + 2*o**3 - 6*o**4 + 16*o + 8 + 22*o**2 = 0. -2, -1, 2 Suppose 124*y = 131*y. Let c(k) be the second derivative of 0*k**2 + y - 14*k + 0*k**3 - 1/35*k**5 - 1/21*k**4. Factor c(l). -4*l**2*(l + 1)/7 Suppose -4*b - 5*j - 1 = -6, -b - 2 = -2*j. Let y be (4/(-6))/(1555 - 1556). Factor y*h**2 + b - 4/3*h. 2*h*(h - 2)/3 Let a(y) = -y**3 + 1. Let m = 3 - 4. Let x(q) = -141611*q - 9 - 147*q**4 - 159*q**3 + 141611*q - 48*q**2. Let i(d) = m*x(d) - 9*a(d). Solve i(u) = 0 for u. -4/7, 0 Let j(f) be the first derivative of -196*f**5/5 - 462*f**4 + 368*f**3 - 80*f**2 + 1505. Find t such that j(t) = 0. -10, 0, 2/7 Suppose 185 = 2*r + 123. Solve -19*z**2 + 4*z**3 + r*z + 139*z + 128 - 42*z + 59*z**2 = 0 for z. -4, -2 Let 0 + 1/2*p**4 - 411/2*p**3 + 21420*p**2 - 62424*p = 0. What is p? 0, 3, 204 Let i be (7*132/84 + -11)/(-1). Let q(r) be the third derivative of i*r + 7/18*r**5 + r**3 + 0 - 49/540*r**6 + 17*r**2 + 13/12*r**4. Let q(x) = 0. Calculate x. -3/7, 3 Let q(g) be the first derivative of g**4/36 - 2*g**3/9 + 2*g**2/3
{ "pile_set_name": "DM Mathematics" }
2 wrt c? -121747176 Find the second derivative of -75*t**5 + 28*t**4 + 112*t**3 + 90564929*t. -1500*t**3 + 336*t**2 + 672*t Find the third derivative of 11666328*x**4 + 19206603*x**2. 279991872*x Find the third derivative of 33607376*i**6 - 49*i**2 + 25*i - 3602. 4032885120*i**3 What is the third derivative of 481*a*n**5 + 120540*a*n**3 - 41049*a*n**2 + 134*n**2 wrt n? 28860*a*n**2 + 723240*a What is the derivative of -10619691*n - 7311049 wrt n? -10619691 What is the third derivative of -17*o**5 - 2126*o**4 - 15*o**3 - 50*o**2 - 36618*o wrt o? -1020*o**2 - 51024*o - 90 What is the second derivative of 1123244965*s**2 + 847621692*s wrt s? 2246489930 Find the second derivative of 135578641*h**2 + 65*h + 3145432. 271157282 What is the second derivative of -51*m*n**3 - 6623*m*n**2 - 687*m*n + 2*m + n**2 + 535*n wrt n? -306*m*n - 13246*m + 2 What is the third derivative of -250017*i**6 - 13*i**4 - 3596570*i**2 - 59? -30002040*i**3 - 312*i What is the second derivative of 17111048*i**2 - 21998472*i? 34222096 What is the second derivative of 10574235*i**2*r + i**2 - 1498*i*r + 2156*i wrt i? 21148470*r + 2 What is the derivative of -5883267*s**3 + 2*s**2 - 22749326? -17649801*s**2 + 4*s Find the third derivative of -82*l**6 + 13718*l**4 - 29402451*l**2. -9840*l**3 + 329232*l Find the third derivative of -46017*h**3*q*v + 2151*h**3*q - 90*h**2*q*v - 2*h**2*q + h**2*v - 14*h**2 + h*v + 8*q*v wrt h. -276102*q*v + 12906*q Find the second derivative of 5735358*m**2 + 3842314*m wrt m. 11470716 What is the third derivative of -431979*l**4*y**3 + 246*l**4 + l**2*y**2 - 2*l**2*y + 3*l*y**3 - 30*l*y - 40*y**3 - 6*y wrt l? -10367496*l*y**3 + 5904*l What is the third derivative of -799751990*j**3 + 568742488*j**2? -4798511940 Differentiate -80228*v**4 + 6*v**3 - 4667060 wrt v. -320912*v**3 + 18*v**2 What is the second derivative of 44*i*m**3 + 2*i*m - 43*i - 20*m**3 + 1490*m**2 - 4*m - 5107 wrt m? 264*i*m - 120*m + 2980 What is the second derivative of -k**4 - 10*k**3 - 7813733*k**2 + 49782764*k? -12*k**2 - 60*k - 15627466 Find the first derivative of -440443228*i + 871090925. -440443228 What is the second derivative of -3159873*q**4 + 20202662*q? -37918476*q**2 What is the second derivative of 3*z**4 - 113*z**3 + 55*z**2 - 2189*z - 1694 wrt z? 36*z**2 - 678*z + 110 What is the second derivative of 674608542*z**3 + 116749*z? 4047651252*z What is the third derivative of 1946233*t**4 - 24*t**2 + 3238*t - 10 wrt t? 46709592*t Find the first derivative of -7660923*p**3 - 2*p**2 + 11604614. -22982769*p**2 - 4*p What is the third derivative of -13*p**5 - 1644210*p**4 + p**2 - 50702979*p? -780*p**2 - 39461040*p What is the derivative of r**3 - 6640349*r**2 + 630296? 3*r**2 - 13280698*r What is the first derivative of -3*b**4 - 2*b**2 - 6545496*b - 13044724 wrt b? -12*b**3 - 4*b - 6545496 Find the first derivative of -10321882*q*s**3 - 10*s**3 + s**2 + 1197*s + 278 wrt q. -10321882*s**3 What is the second derivative of 297219836*l**2 - 4*l + 5840705 wrt l? 594439672 What is the derivative of 125614598*s**3 + 388520772 wrt s? 376843794*s**2 Find the second derivative of 2102*k**3 - 96374*k**2 + 275091558*k wrt k. 12612*k - 192748 What is the derivative of 67*o**3 + 39061*o**2 - o - 19208815? 201*o**2 + 78122*o - 1 Find the first derivative of 151654715*a**3*u**4 + 2072998*a**3 - 2*a - u**4 + 4 wrt u. 606618860*a**3*u**3 - 4*u**3 What is the second derivative of 16*p**5 + 4005*p**4 - 639*p**3 + 3*p + 142723744 wrt p? 320*p**3 + 48060*p**2 - 3834*p What is the second derivative of 255*p**4 + 2*p**3 - 32040*p**2 + p - 95961598? 3060*p**2 + 12*p - 64080 Find the first derivative of -788846900*p**2 - 373971412. -1577693800*p What is the third derivative of 18099088*m**4 + 12*m**2 - 1101376*m? 434378112*m Find the third derivative of c*j**5 - 7*c*j**4 - 5*c*j**2 - 3855782*c*j - 2702602*j**3 wrt j. 60*c*j**2 - 168*c*j - 16215612 Find the second derivative of 261220*g**4 + 19*g**3 - 8*g - 424229. 3134640*g**2 + 114*g What is the second derivative of 3*n**3 - 1465644*n**2 + 11*n + 1720223? 18*n - 2931288 Find the third derivative of 723794339*p**3 + 1247670*p**2 - 11*p. 4342766034 What is the third derivative of 21475327*p**6*y + 2*p**6 - 9*p**2 - 172*p*y + 33*p + 3*y wrt p? 2577039240*p**3*y + 240*p**3 Find the first derivative of -20357014*g**2*q + 7301442*g**2 wrt q. -20357014*g**2 What is the first derivative of -60622495*m**2 + 1293360380? -121244990*m Find the third derivative of 10758144*t**5 - 2*t**4 + t**3 + 121*t**2 + 2040*t - 41 wrt t. 645488640*t**2 - 48*t + 6 What is the second derivative of 1538979*b**3*j - 2*b**2*j*p**2 - 47*b**2*j + 53*b*j*p**2 - 22*b*j*p - b*p - 7619*j*p - 1 wrt b? 9233874*b*j - 4*j*p**2 - 94*j Differentiate -15933*h**3 - 87*h**2 + 4*h - 27824415. -47799*h**2 - 174*h + 4 Find the first derivative of 4046981*b**3 + 7970384. 12140943*b**2 What is the second derivative of -6034034*v**3 - 9790862*v? -36204204*v Find the first derivative of -336439777*t**3 + 311930221. -1009319331*t**2 What is the derivative of 6791029*i + 3168186? 6791029 What is the second derivative of -z**3 - 85600623*z**2 + 21*z + 19005 wrt z? -6*z - 171201246 What is the third derivative of 1615573*c**4 - 5*c**2 - 170*c - 15 wrt c? 38773752*c What is the second derivative of 179*b*z**3 - 114*b*z**2 - 1338*b*z + 9*b + 1635*z**4 - 931*z + 1 wrt z? 1074*b*z - 228*b + 19620*z**2 What is the first derivative of -87698*t**4 - 8*t**2 - 5744767 wrt t? -350792*t**3 - 16*t What is the derivative of -13067543*b + 25405349 wrt b? -13067543 Find the second derivative of -816135856*j**3 + 1024314447*j wrt j. -4896815136*j Find the third derivative of -27882957*n**4 + 3*n**2 - 12*n - 193 wrt n. -669190968*n Find the second derivative of 8549123*l**3 - 8942582*l. 51294738*l What is the second derivative of 3*d*f*z + 594*d*z**2 + 2*d - 3*f*z**2 - 1363*f*z + f - 1950*z**2 + 19*z wrt z? 1188*d - 6*f - 3900 What is the derivative of 267846069*x**2 - 15019447 wrt x? 535692138*x Find the third derivative of 52*d*s**3*z + d*s**3 + 2*d*s**2*z + 374*d*s*z - 234*d - 212*s**3*z + 43*s**3 - 19*z wrt s. 312*d*z + 6*d - 1272*z + 258 What is the second derivative of 1462*i**2*z**2 + 3*i**2*z + 775*i*z**2 + 88*i*z - 5*z**2 - 47629 wrt z? 2924*i**2 + 1550*i - 10 What is the third derivative of 16098*p**6 - 277*p**4 + p**3 - 69057241*p**2 wrt p? 1931760*p**3 - 6648*p + 6 Find the second derivative of -257*b**4 + 6342*b**3 - 2*b**2 + 40800902*b. -3084*b**2 + 38052*b - 4 What is the derivative of 15296559*l**2 + 10530306? 30593118*l What is the derivative of 33665863*v*z**2 - 3*v*z - v + 4087*z**2 - 52070*z wrt v? 33665863*z**2 - 3*z - 1 What is the second derivative of -2*h**3 - 4674706*h**2 - 8227*h + 447? -12*h - 9349412 Find the third derivative of 604330965*m**4 - 9*m**2 - 15091089*m wrt m. 14503943160*m Differentiate 568987943*m - 204816467. 568987943 What is the first derivative of -192471737*k - 304245148 wrt k? -192471737 Find the third derivative of -m**6 + 64911567*m**3 + 234*m**2 + 47606 wrt m. -120*m**3 + 389469402 Find the third derivative of -7810478*t**3 + 3846*t**2 - 2*t + 2. -46862868 What is the first derivative of 381*f**4*t**2 - 214356*f**2*t**3 - 447*t**3 - t**2 + 83*t - 8 wrt f? 1524*f**3*t**2 - 428712*f*t**3 What is the third derivative of -125710*d**2*z**3 + 3*d**2*z**2 - 3*d**2*z + 2*d*z**2 + 892*z**3 - 208*z**2 - 11*z + 2 wrt z? -754260*d**2 + 5352 Find the first derivative of 12303360*l + 7033578 wrt l. 12303360 Find the first derivative of 153*f**4*g + 935106*f**3*g - 76274390*g wrt f. 612*f**3*g + 2805318*f**2*g What is the first derivative of -68*t**2 - 136366*t + 23655602 wrt t? -136*t - 136366 Find the second derivative of 170770246*i**2*x + 4*i*x - i + 3*x - 363820 wrt i. 341540492*x Find the second derivative of -5*l**2*w + 390537*l**2 + 5958937*l*w wrt l. -10*w + 781074 What is the derivative of 135069452*c**2 - 115992181 wrt c? 270138904*c What is the third derivative of -195064*x**4 + 4*x**3 - 8586745*x**2? -4681536*x + 24 Differentiate 167787126*b**4 - 123366662 wrt b. 671148504*b**3 What is the second derivative of -28892390*b**2 + 19029680*b? -57784780 What is the second derivative of -80682298*b**3 - 154822935*b wrt b? -484093788*b Differentiate -14*o**4 + 11*o**3 - 5
{ "pile_set_name": "DM Mathematics" }
t value? (a) -3/34 (b) 1 (c) -4 b Which is the third smallest value? (a) -0.8 (b) -0.1 (c) -0.4 (d) -0.3 (e) -0.13 d Which is the biggest value? (a) -3/25 (b) 1/13 (c) 0.4 c What is the second smallest value in 0.15, 545, -3/5? 0.15 What is the second smallest value in -1/6, 4, 0.2, 13? 0.2 Which is the biggest value? (a) 0 (b) 107 (c) -1/3 b Which is the third smallest value? (a) -2/17 (b) -3/4 (c) -3/5 (d) 5/4 a What is the third smallest value in 0.3, -2/7, -1/7? 0.3 Which is the biggest value? (a) 5 (b) -5 (c) 1/19 (d) 3 a Which is the third biggest value? (a) 0 (b) 7 (c) 4 (d) -12/11 a Which is the third smallest value? (a) 4 (b) 1429 (c) -4/7 b What is the biggest value in 0.1, -5, 40? 40 What is the smallest value in 0.04, 0.5, -1, 0.2? -1 Which is the third smallest value? (a) 0.3 (b) -1 (c) -175 (d) -3/2 (e) -0.5 b Which is the second smallest value? (a) 2/3 (b) -0.06 (c) -3 (d) 18.4 (e) 5 b Which is the fourth smallest value? (a) -0.48 (b) -0.1 (c) -1/4 (d) 4 d What is the fourth smallest value in 0.5, 3, 1/8, -0.4? 3 What is the fourth biggest value in 4, 12/11, -5, -2.85? -5 What is the fifth biggest value in 2, -0.4, 6, 0.252, 0? -0.4 Which is the smallest value? (a) 2/11 (b) 1/2 (c) -4 (d) 2/13 c Which is the second smallest value? (a) -2/3 (b) -1 (c) 2/7 (d) -64 b What is the third biggest value in 7, -0.2, 4? -0.2 Which is the third smallest value? (a) 4 (b) -0.4 (c) 13/4 a Which is the smallest value? (a) 2/7 (b) -0.3 (c) 3 (d) -0.4 (e) 11 d What is the biggest value in 1/4, -2/13, -11, -0.4? 1/4 Which is the biggest value? (a) 6 (b) -0.5 (c) 2/13 (d) 4 a Which is the third biggest value? (a) 9.8 (b) -2/7 (c) -3/4 c What is the smallest value in -1, 1, -3, 4, -0.2? -3 What is the second smallest value in 1, -0.2, -3/4, -4? -3/4 Which is the third biggest value? (a) 5 (b) -16 (c) -5 (d) -4 c What is the smallest value in 6, 1/3, 0? 0 What is the third smallest value in 1, 2/13, 15, 1/3, -11? 1/3 Which is the third smallest value? (a) -4 (b) 0.5 (c) 25 (d) -5 (e) 0 e Which is the smallest value? (a) 56 (b) -1 (c) -5 c What is the second smallest value in -4, -3, 50? -3 What is the third smallest value in 1.84, 2, 0.3? 2 What is the fourth biggest value in -5, -104, 0.1, 0? -104 What is the biggest value in -3, 1, 574/3, -2? 574/3 Which is the smallest value? (a) 5 (b) -0.5 (c) 54 (d) -4/7 d What is the fifth smallest value in -2/7, -4, -0.4, -1/5, -5? -1/5 Which is the fourth smallest value? (a) -0.3 (b) -1.9 (c) 4/5 (d) 68 d Which is the smallest value? (a) -3/5 (b) -1 (c) -2/5 (d) -1/2 b Which is the fourth biggest value? (a) -4 (b) -0.4 (c) 0.4 (d) 1 a Which is the fourth biggest value? (a) -3/4 (b) 0 (c) 0.024 (d) 1 a Which is the fifth biggest value? (a) 5 (b) 0 (c) 0.4 (d) 0.2 (e) 42 b What is the second biggest value in -0.051, 37/5, 2? 2 Which is the third biggest value? (a) 257/4 (b) -1/7 (c) 4 b Which is the smallest value? (a) 0.4 (b) -4 (c) 56 (d) -5 (e) -0.2 d What is the second smallest value in 0.4, -0.5, 3, -5, -4/67? -0.5 Which is the third smallest value? (a) 0.5 (b) -3/4 (c) -0.4 (d) 13/6 a Which is the second biggest value? (a) 4 (b) 0.1 (c) -44 b Which is the biggest value? (a) 6 (b) 3.8 (c) -7 a Which is the fourth biggest value? (a) 2/13 (b) -2 (c) -7 (d) 1 c Which is the second smallest value? (a) 86 (b) -0.1 (c) 11 c Which is the second smallest value? (a) -4 (b) -0.2 (c) -58 a Which is the smallest value? (a) 2 (b) 5.4 (c) 0.2 c Which is the second biggest value? (a) -1/8 (b) 0.24 (c) -4 a What is the fourth biggest value in 0.3, 13/2, 8, -1/2? -1/2 What is the second smallest value in -2/3, 0.152, -0.3, -2? -2/3 Which is the smallest value? (a) -4/7 (b) 2 (c) 3 (d) 0.111 a Which is the fourth biggest value? (a) -1/5 (b) 1/10 (c) 0.3 (d) -2 (e) 1/41 a Which is the third smallest value? (a) -2 (b) -1/4 (c) -1.5 (d) 3 b What is the fourth biggest value in -27/2, -13, -3, 4? -27/2 Which is the biggest value? (a) 4 (b) -25 (c) -4 (d) 0 (e) 5 e Which is the third smallest value? (a) -11.95 (b) 5 (c) 4 (d) 1 c What is the smallest value in -4, 7, 0.706? -4 Which is the second smallest value? (a) 0.92 (b) -0.4 (c) -3/5 b What is the smallest value in -0.2, 0.1, -4, 22? -4 Which is the smallest value? (a) 1/4 (b) 1 (c) -12 c Which is the second smallest value? (a) -0.3 (b) 827 (c) -1/5 (d) -4 a Which is the fifth smallest value? (a) -23 (b) 0.1 (c) 3 (d) 4 (e) -0.2 d Which is the second biggest value? (a) 2 (b) -0.1 (c) 27 a Which is the second smallest value? (a) -2 (b) -9.7 (c) 1/3 a Which is the second biggest value? (a) -3/4 (b) 4 (c) -11 a What is the biggest value in 490, 4, -3? 490 Which is the third smallest value? (a) -2/15 (b) -65 (c) 1 c Which is the second smallest value? (a) -0.2 (b) 5/2 (c) 57 b What is the second smallest value in -1, 0.2, -28, 6? -1 What is the third biggest value in 0.4, 0.5, 0.0607? 0.0607 What is the third smallest value in 2/3, 8, -0.5, 3? 3 Which is the second smallest value? (a) -1 (b) 3 (c) -2/9 c Which is the second smallest value? (a) -1 (b) 6 (c) -1/2 c Which is the third biggest value? (a) -1 (b) -3/5 (c) -3/13 a Which is the second biggest value? (a) -5 (b) -0.2 (c) 2/15 b What is the biggest value in 0.5, 5, 0.4? 5 Which is the third biggest value? (a) -98 (b) -4/3 (c) -2 (d) -0.4 c What is the second smallest value in -3/2, -5, 134? -3/2 What is the second smallest value in -4, 0.08, -0.5, 5, 0? -0.5 Which is the smallest value? (a) -2/7 (b) -150 (c) 15 b Which is the fourth biggest value? (a) 2/13 (b) -2/47 (c) -0.4 (d) 10 c What is the fourth biggest value in 3, -0.2, -1, -66, -4/7? -1 Which is the third biggest value? (a) -0.3 (b) -0.2 (c) 6 (d) -3/19 (e) 3 d What is the second biggest value in 2, -0.09, -0.08, -0.3? -0.08 Which is the third biggest value? (a) 1 (b) 1/3 (c) 6/7 b Which is the second smallest value? (a) -1/3 (b) -1.6 (c) -0.3 (d) 3 (e) 2 a What is the fourth smallest value in 1/2, 0, -3/7, -0.05? 1/2 What is the smallest value in 0, 0.3, -265? -265 Which is the third biggest value? (a) 1 (b) 4 (c) 32 a Which is the third biggest value? (a) -2/3 (b) -9 (c) 2 (d) 5 a What is the second smallest value in -3/7, 0.26, -3/2? -3/7 Which is the fourth biggest value? (a) -1/7 (b) -0.1 (c) 105 (d) -1/3 (e) 0.4 a What is the smallest value in -19, -0.3, 2/5? -19 What is the second biggest value in 0.4, -3/4, 1/8, -14? 1/8 What is the smallest value in 0.6, -2/23, -3, 0, -1/6? -3 What is the smallest value in -1/3, 1/6, 308, -2? -2 Which is the second smallest value? (a) -7 (b) 2/7 (c) -0.14 (d) -0.5 (e) 11 d What is the biggest value in -1/2, 4, -3, -2, -1/8? 4 Which is the third smallest value? (a) -2 (b) -1/2 (c) 10/279 c What is the third smallest value in -4, 5/52, 0.3, -5? 5/52 Which is the smallest value? (a) 0.3 (b) 0.1 (c) 0.07 (d) -0.5 d What is the smallest value in 14/9, -1, 0.2? -1 Which is the second smallest value? (a) -0.3 (b) -1/23 (c) 0.5 b Which is the third biggest value? (a) -1 (b) -2/3 (c) 9 a Which is the smallest value? (a) 0.9 (b) -5 (c) -14.8 (d) 1/8 c What is the second smallest value in -4, 0.3, 0.5, 1, -5/3? -5/3 What is the biggest value in -5, -16, -4, 1/3? 1/3 Which is the biggest value? (a) -15 (b) -0.2 (c) 0 (d) 285/8 d What is the second smallest value in 1, 16, -2, -2/7? -2/7 What is the second smallest value in 4.6, -3, 0.037? 0.037 Which is the second smallest value? (a) -12 (b) -1 (c) 4 b What is the second smallest value in 6, 2, -0.5, -2/11? -2/11 Which is the second smallest value? (a) -4 (b) -5 (c) -1.011 a What is the third smallest value in 1, -52, -4, -5? -4 Which is the fourth biggest value? (a) 0 (b) -3 (c) -1.3 (d) -1 b What is the fourth smallest value in 2/13, -5, 56, -2/11? 56 What is the second biggest value in -0.05, 2/3, 1? 2/3 What is the third smallest value in -2/11, 2/25, -2/3, 289? 2/25 Which is the biggest value? (a) -2203 (b) -4/5 (c) 0.5 (d) -1 c Which is the second biggest value? (a) -12/97 (b) 5 (c) 0.3 c Which is
{ "pile_set_name": "DM Mathematics" }
of -9001, -7473, -5945? 1528*r - 10529 What is the v'th term of 8822, 8659, 8218, 7361, 5950, 3847, 914, -2987? -23*v**3 - v**2 + v + 8845 What is the d'th term of -19961, -35160, -50359, -65558, -80757? -15199*d - 4762 What is the m'th term of -25120, -50998, -76876, -102754, -128632? -25878*m + 758 What is the w'th term of 8749891, 17499779, 26249665, 34999549, 43749431, 52499311? -w**2 + 8749891*w + 1 What is the c'th term of 1620250, 3240497, 4860746, 6480997, 8101250? c**2 + 1620244*c + 5 What is the g'th term of -556, -2013, -4348, -7567, -11676, -16681, -22588? -g**3 - 433*g**2 - 151*g + 29 What is the b'th term of 33543, 134182, 301913, 536736? 33546*b**2 + b - 4 What is the c'th term of 4159, 16504, 37045, 65782? 4098*c**2 + 51*c + 10 What is the k'th term of -643, -1027, -1323, -1531, -1651, -1683? 44*k**2 - 516*k - 171 What is the k'th term of -5053, -20372, -45945, -81772, -127853, -184188, -250777? -5127*k**2 + 62*k + 12 What is the s'th term of 8080, 64732, 218498, 517936, 1011604, 1748060? 8093*s**3 - s**2 + 4*s - 16 What is the x'th term of -1434836, -5739351, -12913544, -22957415, -35870964, -51654191, -70307096? -1434839*x**2 + 2*x + 1 What is the o'th term of -37368, -37332, -37270, -37182, -37068, -36928? 13*o**2 - 3*o - 37378 What is the x'th term of 127852136, 127852134, 127852132, 127852130? -2*x + 127852138 What is the w'th term of -482, -2297, -5458, -9971, -15842, -23077, -31682, -41663? -w**3 - 667*w**2 + 193*w - 7 What is the l'th term of 27558, 54911, 82264, 109617, 136970, 164323? 27353*l + 205 What is the g'th term of -554907, -554904, -554901, -554898? 3*g - 554910 What is the o'th term of 590, 1205, 2934, 6353, 12038, 20565, 32510? 96*o**3 - 19*o**2 + 513 What is the j'th term of -2799751, -2799773, -2799797, -2799823? -j**2 - 19*j - 2799731 What is the m'th term of -4588, -18362, -41318, -73456, -114776, -165278, -224962? -4591*m**2 - m + 4 What is the p'th term of 10130505, 10130507, 10130509, 10130511, 10130513? 2*p + 10130503 What is the o'th term of 391914, 391893, 391836, 391725, 391542, 391269, 390888? -3*o**3 + 391917 What is the y'th term of -2103, -20408, -70093, -166848, -326363, -564328? -2615*y**3 + 512 What is the i'th term of 62042775, 62042776, 62042779, 62042784, 62042791? i**2 - 2*i + 62042776 What is the x'th term of 203, 1435, 4685, 10937, 21175, 36383? 164*x**3 + 25*x**2 + 9*x + 5 What is the l'th term of 87499296, 87499291, 87499286, 87499281? -5*l + 87499301 What is the q'th term of 1337, 4641, 10133, 17813? 1094*q**2 + 22*q + 221 What is the r'th term of 349148, 698362, 1047574, 1396784, 1745992? -r**2 + 349217*r - 68 What is the b'th term of -19136, -19303, -19556, -19937, -20488, -21251? -7*b**3 - b**2 - 115*b - 19013 What is the j'th term of -3085211, -6170815, -9256417, -12342017? j**2 - 3085607*j + 395 What is the r'th term of -81, 224, 729, 1434? 100*r**2 + 5*r - 186 What is the v'th term of 1399, 5678, 12847, 22906, 35855, 51694, 70423? 1445*v**2 - 56*v + 10 What is the t'th term of -1320379, -5281486, -11883323, -21125890, -33009187? -1320365*t**2 - 12*t - 2 What is the g'th term of -114685, -114689, -114693? -4*g - 114681 What is the x'th term of -2256, -6582, -13792, -23886, -36864? -1442*x**2 - 814 What is the z'th term of -791927, -1583927, -2375927, -3167927? -792000*z + 73 What is the s'th term of 512, 4549, 15546, 36983, 72340, 125097? 580*s**3 - 23*s - 45 What is the u'th term of 142718, 287458, 432198, 576938, 721678? 144740*u - 2022 What is the g'th term of -56434, -56447, -56468, -56497, -56534, -56579? -4*g**2 - g - 56429 What is the f'th term of -2110742, -2110640, -2110538, -2110436? 102*f - 2110844 What is the v'th term of 2169, 3700, 5249, 6822, 8425, 10064? v**3 + 3*v**2 + 1515*v + 650 What is the n'th term of 915, 5291, 17191, 40383, 78635, 135715? 628*n**3 - 6*n**2 - 2*n + 295 What is the o'th term of 5836839, 11673681, 17510523? 5836842*o - 3 What is the z'th term of 229182680, 229182679, 229182678? -z + 229182681 What is the a'th term of 22417, 22395, 22381, 22375, 22377, 22387, 22405? 4*a**2 - 34*a + 22447 What is the x'th term of -1355326, -1355334, -1355340, -1355344? x**2 - 11*x - 1355316 What is the x'th term of 83970127, 167940250, 251910373? 83970123*x + 4 What is the m'th term of 26173, 52098, 78039, 104002, 129993, 156018, 182083, 208194? m**3 + 2*m**2 + 25912*m + 258 What is the v'th term of 673498, 1346976, 2020436, 2693878, 3367302, 4040708? -9*v**2 + 673505*v + 2 What is the q'th term of -68020, -68095, -68172, -68251, -68332, -68415, -68500? -q**2 - 72*q - 67947 What is the l'th term of -13933864, -27867726, -41801588, -55735450, -69669312? -13933862*l - 2 What is the y'th term of -37552468, -37552458, -37552448? 10*y - 37552478 What is the k'th term of 86967, 170565, 254163, 337761, 421359, 504957? 83598*k + 3369 What is the s'th term of -41808, -41793, -41766, -41727, -41676, -41613? 6*s**2 - 3*s - 41811 What is the p'th term of 5101, 3472, 1843? -1629*p + 6730 What is the c'th term of 21574, 20825, 20078, 19333, 18590, 17849? c**2 - 752*c + 22325 What is the k'th term of -77, -181, -89, 415, 1547, 3523? 36*k**3 - 118*k**2 - 2*k + 7 What is the p'th term of 3129421, 3129395, 3129349, 3129283, 3129197? -10*p**2 + 4*p + 3129427 What is the d'th term of -120760, -120368, -119686, -118690, -117356, -115660, -113578, -111086? 4*d**3 + 121*d**2 + d - 120886 What is the j'th term of 59963, 60226, 61067, 62816, 65803, 70358, 76811, 85492? 55*j**3 - 41*j**2 + j + 59948 What is the x'th term of -4082744, -4082772, -4082800? -28*x - 4082716 What is the y'th term of 19119, 38299, 57479, 76659, 95839? 19180*y - 61 What is the u'th term of 174433, 174455, 174477, 174499? 22*u + 174411 What is the b'th term of 759143, 1520679, 2282213, 3043745, 3805275, 4566803? -b**2 + 761539*b - 2395 What is the l'th term of -1149182, -1149220, -1149284, -1149374, -1149490? -13*l**2 + l - 1149170 What is the m'th term of -258255333, -258255337, -258255343, -258255351, -258255361, -258255373, -258255387? -m**2 - m - 258255331 What is the l'th term of 1971465, 1971450, 1971435, 1971420? -15*l + 1971480 What is the n'th term of 3446522, 6892984, 10339446, 13785908, 17232370, 20678832? 3446462*n + 60 What is the o'th term of -971116, -1942040, -2912960, -3883876, -4854788, -5825696, -6796600? 2*o**2 - 970930*o - 188 What is the k'th term of 12483266, 12483234, 12483180, 12483104? -11*k**2 + k + 12483276 What is the z'th term of -7209319, -14418638, -21627957? -7209319*z What is the n'th term of 7527, 7956, 8381, 8802, 9219, 9632, 10041? -2*n**2 + 435*n + 7094 What is the r'th term of 22524, 90150, 202858, 360648? 22541*r**2 + 3*r - 20 What is the z'th term of -618732, -618890, -619048, -619206? -158*z - 618574 What is the l'th term of -88655, -354810, -798395, -1419404, -2217831? l**3 - 88721*l**2 + l + 64 What is the q'th term of -134533, -133856, -133179? 677*q - 135210 What is the j'th term of -9232419, -18464836, -27697253, -36929670, -46162087? -9232417*j - 2 What is the o'th term of 2441, 4197, 5963, 7739, 9525? 5*o**2 + 1741*o + 695 What is the h'th term of 1049109, 2098208, 3147307? 1049099*h + 10 What is the y'th term of -23852994, -23852995, -23852996, -23852997? -y - 23852993 What is the d'th term of 8157086, 32628341, 73413768, 130513367, 203927138, 293655081, 399697196? 8157086*d**2 - 3*d + 3 What is the s'th term of -218265, -218460, -218653, -218844? s**2 - 198*s - 218068 What is the c'th term of 8774, 8639, 8504, 8369, 8234? -135*c + 8909 What is the s'th term of -3187791, -6375743, -9563695, -12751647, -15939599, -19127551? -3187952*s + 161 What is the a'th term of -792, -1332, -1888, -2460, -3048, -3652, -4272? -8*a**2 - 516*a - 268 What is the p'th term of 661212768, 661212769, 661212770, 661212771, 661212772, 661212773? p + 661212767 What is the b'th term of -54189, -433452, -1462885, -3467574, -6772605, -11703064, -18584037? -54181*b**3 + b**2 + b - 10 What is the k'th term of -816, -992, -1306, -1776, -2420, -3256, -4302, -5576? -3*k**3 - 51*k**2 - 2*k - 760 What is the d'th term of 64953, 519696, 1754011, 4157688, 8120517, 14032288, 22282791? 64965*d**3 - 4*d**2 - 8 What is the x'th term of -1872, -4914, -9972, -17046, -26136, -37242, -50364? -1008
{ "pile_set_name": "DM Mathematics" }
(-6)/(-72). 2/27 Evaluate (-7)/(364/13)*-4*68/(-2). -34 Evaluate ((-96)/(-6))/(-7*(-14)/(-7)). -8/7 (12/6)/((252/99)/14) 11 What is (-35)/(8*65/208)? -14 What is 10/180*-3*1*2? -1/3 (36/(-18))/4*4*-8 16 What is the value of (-115)/1472*((-108)/10)/9? 3/32 96/(30/(-150)*-20) 24 What is -1*(-7)/84*6? 1/2 What is the value of ((-54)/(-81))/((-30)/135)? -3 ((-42)/(-224))/((-13)/(-52)) 3/4 ((-25)/(-10))/(-5)*(-186)/155*30 18 3*-2*(-123)/(-82) -9 Evaluate (-1300)/(-9100)*(-4)/6. -2/21 What is the value of -52*49/490*(-5)/2? 13 What is the value of -13*5/10*-1*2? 13 What is the value of 6*3*47/282*4/(-42)? -2/7 What is the value of (((-1)/1)/((-44)/(-44)))/(2/34)? -17 Calculate (201/670)/(12/200*-4). -5/4 Calculate (((-66)/88)/((-3)/8))/((-4)/(-6)). 3 What is (2/(-3))/((-205)/3075)? 10 Evaluate (25/(4025/46))/(8/(-14)). -1/2 What is 18/(-21)*-4*1*343/(-294)? -4 What is (-14)/119*-34*5/(-2)? -10 Evaluate (-93)/(-1736)*4*((-8)/(-3))/2. 2/7 What is the value of -7*(108/7)/(-9)? 12 What is the value of (-55)/((-20)/4)*((-6)/6)/1? -11 What is the value of 187*76/8360*1/((-1)/(-10))? 17 Calculate (4/(-3)*(-6)/(-20))/((-2178)/(-363)). -1/15 What is the value of (-9)/6*(-16)/(-736)*40/15? -2/23 Evaluate (720/(-400))/((-21)/10). 6/7 What is ((1143/(-508))/(3/2))/((-2)/(-12))? -9 Calculate ((-24)/(-15))/((22/66)/(15/36)). 2 What is the value of (4*(-4)/56)/(40/1960)? -14 What is the value of (-38)/(-171)*-3*12/(-10)? 4/5 Calculate (-9)/26*9/(810/(-40)). 2/13 -3*(-3)/6*(-1728)/162 -16 Evaluate (2/6)/(231/(-504)*-4). 2/11 Evaluate 1035/(-69)*(-6)/(-9). -10 What is (2/4)/(((-7)/399)/((-52)/(-78)))? -19 Evaluate (280/6)/20*(-3)/1. -7 What is the value of ((-9)/15*5)/5*-35? 21 Calculate (26/3)/(4*30/(-90)). -13/2 Calculate -12*18/(-1080)*-4. -4/5 Calculate (-67)/67*6/(-30)*0. 0 Evaluate ((-200)/2200)/(1/22). -2 Calculate 91*1/(-78)*(-6)/1. 7 What is 3*50/(-20)*(-10)/(-25)? -3 (27/17)/((-995)/(-16915)) 27 (62/(-5))/(476/(-1190)) 31 What is the value of ((-3)/((-15)/(-5))*0)/((-1)/1)? 0 Evaluate 45675/25375*2*(-2)/6. -6/5 What is (3712/256)/(1/((-4)/12*-6))? 29 What is ((-90)/(-5))/((4/14)/(43/301))? 9 What is the value of (-42)/49*70/(-15)? 4 What is (((-4)/6)/(-1))/((-3874)/894)? -2/13 516/(-86)*(-2)/28*(-2)/3 -2/7 What is the value of (-1947)/7139*11/(-12)? 1/4 (10*(-1)/(-5))/(66/495) 15 Evaluate 252/210*14/6*5/2. 7 Evaluate (-12)/(-30)*370/(-296). -1/2 Evaluate (-290)/203*(-28)/(-8). -5 What is 1/(-2)*8*(-12)/(48/(-4))? -4 Calculate 14/(-4)*1040/(-280). 13 Calculate -6*(-6)/(-45)*(-21)/378*-315. -14 Evaluate (4/9)/(55/83655*26). 26 ((-1188)/(-220))/((6/1)/30) 27 Calculate ((-480)/64)/((-250)/20). 3/5 What is 9*80/1008*7? 5 What is (-110)/(-11)*2/8*16/260? 2/13 Evaluate (-277)/554*6/(-15)*3. 3/5 What is the value of (-2295)/340*(-8)/6? 9 What is (-2)/12*9*496/(-24)? 31 Evaluate (((-24)/77)/(290/(-319)))/(3/10). 8/7 7*-35*20/(-490)*(-4)/30 -4/3 (2/12)/(79/(-316)) -2/3 What is the value of 15/135*(19/(-95))/((-2)/(-3))? -1/30 Calculate 12/9*(-168)/32. -7 What is 34/(-85)*45/(-18)*1? 1 Evaluate (11/2)/(129/(-258))*1. -11 Evaluate ((-157)/(-1099))/((-12)/7). -1/12 What is the value of ((-3)/(-4))/(((-7)/168)/((-1)/6))? 3 What is (-30)/1425*-10*19? 4 Calculate (-2)/(48/18)*5/(810/48). -2/9 What is the value of 45/(-4)*((-224)/(-84))/(-2)? 15 What is (244/(-610))/(12/9)? -3/10 (-9)/(-12)*4/(11/(-11)) -3 What is (-48)/(-18)*(-360)/672? -10/7 What is 132/154*((-231)/143)/(-3)? 6/13 (18/9)/((-6)/(90/15)) -2 What is (-24)/(144/(-42))*(-20)/(-35)? 4 Evaluate (48/(-112)*2)/((-16)/(-7)). -3/8 Calculate (2/2)/(-9)*(-30270)/(-1009). -10/3 What is (-2415)/230*(-9)/(-42)? -9/4 Evaluate (-144)/9*(-9)/24. 6 ((-36)/(-24))/((-2100)/80) -2/35 What is the value of (-245)/140*16/(12/(-3))? 7 Evaluate 2*-1*(-6)/(-32)*216/9. -9 What is the value of (4*3/(-18))/((-426)/(-18))? -2/71 Evaluate ((1*4/(-4))/((-5)/(-5)))/1. -1 What is (-2*(-7)/(-35)*-19)/((-36)/(-180))? 38 Calculate (((-4)/3)/((-972)/(-2187)))/(-39). 1/13 Evaluate ((-15)/(-9))/((6/15)/((-174)/145)). -5 ((40/14)/(-10))/(16/1008) -18 ((-33)/3)/55*(-2)/((-12)/(-150)) 5 What is (16*(-14)/(-56))/8? 1/2 (142/(-426))/((-1)/(-12)) -4 What is the value of 10/24*(16/(-14))/((-5000)/700)? 1/15 What is the value of (8/6)/(((-4)/(-252))/(11/66))? 14 Calculate (-1)/10*7175/410. -7/4 (-5)/(1080/16)*6 -4/9 What is the value of 45/(-15450)*(-20)/36*12? 2/103 Calculate (728/26)/(-28)*(-3)/(9/(-57)). -19 (-8)/(96/(-42))*16/(-8) -7 Evaluate ((95/380)/(((-1)/12)/(-1)))/(-2). -3/2 What is 1/((((-30)/(-9))/5)/(-6))? -9 Evaluate ((-84)/7)/36*6*3. -6 Calculate 1*30/(50/5)*1/(-3). -1 What is the value of (180/(-40))/(264/(-32))? 6/11 Calculate (-76)/20*5/(-7*11/77). 19 (((-680)/(-12))/(-5))/((140/21)/(-10)) 17 Calculate (124/217)/(-2*(-5)/140*-10). -4/5 Calculate (10*(-39)/65)/(((-8)/(-3))/(-4)). 9 What is the value of 4/10*(-165)/44*8? -12 What is ((-2)/(-12))/(3*23/(-138))? -1/3 Evaluate (-2)/(-16)*18*(-352)/(-33)*-1. -24 (6/(-1))/(30/(-220)*11) 4 ((-56)/6)/((-11319)/(-9702)) -8 ((-15)/(50/(-10)))/(3/((-12)/26)) -6/13 What is 1*2/(-10)*-90? 18 Calculate (5/12)/((-42)/(-252))*144/(-20). -18 ((105/(-20))/21)/((-9)/(252/91)) 1/13 What is 7065/942*2*-1? -15 What is the value of (66/308)/((-11)/((-1584)/27))? 8/7 What is the value of -4*1/(-3)*(-1)/(30/(-45))? 2 What is ((-2)/(32/2))/((-364)/224)*-2? -2/13 ((-195)/3640)/((-6)/84) 3/4 Calculate (-2)/(((-4)/(-6))/(66/(-1683))). 2/17 What is the value of (378/108)/(1/2)? 7 Calculate (9/54)/((-83)/(-332)*(-1)/1). -2/3 Calculate (6/55)/(((-2160)/(-1200))/(18/2)). 6/11 (-4)/(-6)*21*(-15)/(-2205) 2/21 (1/3*-3)/(5/(-55))*-1 -11 What is -21*-10*64/560? 24 ((-7628)/(-28605))/(4/30) 2 What is (68/((-306)/18))/(-1)? 4 What is 99*(-38)/(-5016)*(-2)/(-9)? 1/6 What is the value of ((18/(-81))/(12/2))/(8/12)? -1/18 (-21)/28*(-31)/(-93) -1/4 Calculate 60/35*(-308)/132. -4 Calculate ((50/5)/(-10)*-3)/(3/4). 4 (-166)/249*(-42)/(-4) -7 What is (-3*(-7)/49)/((-11)/77*2)? -3/2 (432/(-144))/(((-1)/3)/((-6)/(-189))) 2/7 Calculate (-15)/(-3)*(-111)/(-37). 15 What is the value of ((-64)/(-3040)*19)/(2/(-85))? -17 What is (374/187)/(((-10)/15)/((-4)/(-3)))? -4 What is the value of 10/33*(-41)/(1435/42)? -4/11 Calculate 3*(-3)/6*670/67. -15 What is -7*(-72)/(-280)*-5? 9 Evaluate ((-6)/(-189))/((-131)/(-4585)). 10/9 Evaluate ((-9616)/5409)/(2/(-9)). 8 Evaluate ((15/54*2)/(5/(-6)))/(-2). 1/3 4/16*4/(-9)*(-567)/6 21/2 ((-20)/(-10))/(4*(-6)/96) -8 What is (-2)/(-9)*(-2475)/(-100)*6/(-5)? -33/5 1/(-2)*3*-3*(-33132)/(-6777) 22 ((-480)/(-768))/(15/(-6)) -1/4 450/(-150)*(105/(-9))/5 7 (((-54)/105)/((-77)/(-539)))/((-3)/10) 12 Calculate (-297)/(-3267)*2*-4. -8/11 Evaluate ((-2)/(2*15))/((-143)/(150150/(-84))). -5/6 (24/(-84))/(-1)*(-7)/(-3) 2/3 ((-2592)/(-6264))/((-6)/(-116)) 8 Calculate 1/6*18/(-14)*(-49595)/8502. 5/4 What is the value of ((-1)/4)/(34/68)*-2? 1 What is (3*1/6)/(((-2150)/(-20))/(-43))? -1/5 What is the value of (44/10)/((-51)/(1275/10))? -11 (40/5)/2*-2*(-198)/(-72) -22 What is 15*3/27*9333/915? 17 Calculate ((-80)/(-96))/((6/(-1))/36). -5 Calculate (3*-5)/((-265)/318)*6/(-6). -18 14/((-238)/(-85))*(-1)/(10/16) -8 What is (((-213)/(-1278))/(1*1/(-6)))/13? -1/13 What is the value of 22/(-66)*(-3)/2*-8? -4 What is (((-1)/(-5))/(21/(-126)))/((-102)/20)? 4/17 What is the value of (-15)/18*2*(-6)/(-30)? -1/3 -124*7*4/56*(-37)/(-74) -31 What is (338/(-208))/(2/(-16))? 13 What is ((-1)/56*21)/(3/2)? -1/4 What is the value of (-2)/(-3*(-2)/30)*18/12? -15 Calculate 4*2/(-72)*3/5. -1/15 What is the value of 1*(20/24)/(10/120)? 10 Calculate (147/(-196))/((-5)/(-12)*3). -3/5 What is the value of (-27)/(-315)*(-10)/(-9)? 2/21 Evaluate ((-8)/(-748)*34)/(246/11). 2/123 What is ((-15)/70*(-244)/(-183))/(1/(-42))? 12 What is the value of 3/(30/(-2890)*-17)? 17 What is (-14)/(-30)*(-1650)/(-1100)*(-10)/6? -7/6 What is the value of (-2)/4*29/((-203)/14)*24? 24 Calculate (-4004)/(-5852)*(-6)/(-39). 2/19 Calculate ((-4)/(-115))/((-46)/115). -2/23 What is (-4)/10*4930/2958? -2/3 What is the value of (64/20)/(((-9)/60)/(27/(-18)))? 32 (90/12)/(((-3)/2)/3) -15 Calculate (85/((-5950)/168))/((-2)/15). 18 (28/36*(-207)/483)/((-2)/(-66)) -11 ((-2)/(44/(-55)))/(2*(-3)/12) -5 What is (-7*5/25)/(1/(-5))? 7 What is (21*(-213)/(-3479))/(33/14)? 6/11 Calc
{ "pile_set_name": "DM Mathematics" }
Round 10222505 to the nearest 100000. 10200000 What is 0.0081389771 rounded to 6 decimal places? 0.008139 What is 0.0000005748978 rounded to 6 dps? 0.000001 What is 709287.7 rounded to the nearest one hundred thousand? 700000 Round 865518 to the nearest 1000. 866000 What is 1204.413 rounded to zero decimal places? 1204 Round 0.002644389 to 6 decimal places. 0.002644 Round 3458750 to the nearest ten thousand. 3460000 What is 1.064528 rounded to 1 decimal place? 1.1 What is 0.0128956 rounded to three dps? 0.013 Round 40565000 to the nearest 100000. 40600000 What is -0.0003398874 rounded to 4 dps? -0.0003 Round -0.000027164256 to 6 dps. -0.000027 What is 0.0000712504 rounded to six dps? 0.000071 What is -7178633000 rounded to the nearest one million? -7179000000 What is 341607 rounded to the nearest 100000? 300000 Round 174095.8 to the nearest 1000. 174000 What is 0.022635863 rounded to four dps? 0.0226 What is -665.7025 rounded to the nearest 10? -670 What is 128748.7 rounded to the nearest ten thousand? 130000 What is -12583.4 rounded to the nearest one hundred? -12600 What is 0.36816 rounded to 2 dps? 0.37 What is 0.03609579 rounded to 5 dps? 0.0361 Round 854.446 to the nearest 100. 900 What is 0.0000005466627 rounded to seven dps? 0.0000005 Round -0.003067623 to 4 dps. -0.0031 Round -4.022168 to 2 decimal places. -4.02 What is 0.00000730227 rounded to 6 dps? 0.000007 What is -0.0000362792 rounded to five decimal places? -0.00004 What is -5005.54 rounded to the nearest one hundred? -5000 Round -1055.3149 to the nearest ten. -1060 What is 0.0704315 rounded to 1 dp? 0.1 What is -10616.1877 rounded to zero decimal places? -10616 What is 86623770 rounded to the nearest 10000? 86620000 What is 236.82444 rounded to two decimal places? 236.82 What is 1.059621 rounded to the nearest integer? 1 Round -0.1480983 to two decimal places. -0.15 What is 5013515 rounded to the nearest 1000000? 5000000 Round 12728.158 to the nearest integer. 12728 What is 153747000 rounded to the nearest 1000000? 154000000 Round -0.566706 to three decimal places. -0.567 Round 219.4741 to one decimal place. 219.5 Round 176434000 to the nearest one million. 176000000 What is -811.643 rounded to the nearest ten? -810 What is 0.000077686 rounded to 6 dps? 0.000078 Round -1265.9197 to the nearest ten. -1270 Round 0.000002970121 to 7 dps. 0.000003 What is 5076.8 rounded to the nearest 1000? 5000 What is -0.009825152 rounded to five decimal places? -0.00983 Round -48.6026 to one dp. -48.6 Round -19514.87 to the nearest 100. -19500 Round 1688.254 to the nearest 10. 1690 Round 16.29365 to the nearest integer. 16 Round 0.00411267 to 4 dps. 0.0041 Round 272.5414 to the nearest 100. 300 Round -0.000278021 to six decimal places. -0.000278 Round 24476000 to the nearest 10000. 24480000 What is 1006.5965 rounded to the nearest 100? 1000 What is 19527104 rounded to the nearest 10000? 19530000 What is 4435580 rounded to the nearest 100000? 4400000 What is -0.0073935685 rounded to five decimal places? -0.00739 What is -0.001971663 rounded to four decimal places? -0.002 Round -0.2911474 to one dp. -0.3 Round -527626000 to the nearest one million. -528000000 What is 560.178 rounded to the nearest 10? 560 What is 0.1374892 rounded to 4 decimal places? 0.1375 Round -124802800 to the nearest 100000. -124800000 What is 0.000008969292 rounded to seven decimal places? 0.000009 Round 347541 to the nearest 10000. 350000 Round -9007479 to the nearest 100000. -9000000 Round -32993800 to the nearest 100000. -33000000 What is 0.000230732 rounded to 5 dps? 0.00023 Round -731411700 to the nearest one hundred thousand. -731400000 Round 0.000010933885 to 6 dps. 0.000011 Round -0.000005091224 to six dps. -0.000005 Round 0.046054 to two dps. 0.05 What is 11363500 rounded to the nearest ten thousand? 11360000 Round 608340900 to the nearest 1000000. 608000000 What is -1729.4421 rounded to the nearest one thousand? -2000 Round 1140220 to the nearest 1000. 1140000 Round 23893.63 to the nearest one hundred. 23900 What is -8036647 rounded to the nearest one thousand? -8037000 What is -128840 rounded to the nearest one thousand? -129000 What is -5521.97 rounded to the nearest ten? -5520 Round 0.0268499 to five decimal places. 0.02685 Round -0.0167308 to four decimal places. -0.0167 What is 1166.71985 rounded to the nearest one hundred? 1200 Round 16.222 to 1 decimal place. 16.2 Round 433099 to the nearest one hundred thousand. 400000 Round 7227000 to the nearest 1000000. 7000000 What is -0.00149023 rounded to 5 dps? -0.00149 Round -0.00000038085 to 7 decimal places. -0.0000004 Round 0.00002088622 to six dps. 0.000021 Round -208.368 to the nearest ten. -210 What is 8111450 rounded to the nearest 1000000? 8000000 Round 119724115 to the nearest ten thousand. 119720000 Round -121096320 to the nearest 1000000. -121000000 What is -1434030 rounded to the nearest 100000? -1400000 Round -3.577201 to one dp. -3.6 What is 0.00533857 rounded to four dps? 0.0053 Round 129575.1 to the nearest one hundred. 129600 Round -86.374005 to the nearest integer. -86 Round 0.0081427 to 2 dps. 0.01 Round 7.322235 to the nearest integer. 7 What is -0.00621665 rounded to 4 dps? -0.0062 Round 0.0000284172 to 6 dps. 0.000028 Round 5.503769 to 2 decimal places. 5.5 What is 5312.384 rounded to the nearest ten? 5310 Round -180.429 to the nearest integer. -180 Round -3940046.6 to the nearest ten thousand. -3940000 What is 6.191161 rounded to zero decimal places? 6 What is -0.7212918 rounded to one decimal place? -0.7 Round 0.0359433 to 4 dps. 0.0359 Round -0.000057202 to four decimal places. -0.0001 What is -0.05865158 rounded to 3 decimal places? -0.059 What is -187.6858 rounded to the nearest integer? -188 What is -0.08644309 rounded to three dps? -0.086 What is 2370858000 rounded to the nearest 1000000? 2371000000 What is -641.3804 rounded to 0 dps? -641 What is -110396600 rounded to the nearest one hundred thousand? -110400000 What is -0.07945 rounded to three decimal places? -0.079 Round -0.00010586971 to 5 dps. -0.00011 Round -0.0343899 to 3 dps. -0.034 Round -12255310 to the nearest 100000. -12300000 Round -0.0000158303 to seven dps. -0.0000158 Round 1573.673 to the nearest integer. 1574 Round -1.077486 to one dp. -1.1 What is 8.15463 rounded to two decimal places? 8.15 What is -0.0002104438 rounded to seven decimal places? -0.0002104 What is -0.00002247646 rounded to seven dps? -0.0000225 What is -65161.06 rounded to the nearest 10? -65160 What is 970.8218 rounded to the nearest ten? 970 Round 0.00001571401 to 5 decimal places. 0.00002 What is -1.643191 rounded to three dps? -1.643 What is -52566.566 rounded to the nearest ten thousand? -50000 Round -5567162 to the nearest 1000000. -6000000 Round -1628654 to the nearest one thousand. -1629000 What is 0.0000078023 rounded to 7 decimal places? 0.0000078 What is 29019.665 rounded to the nearest 1000? 29000 Round -4760.9715 to the nearest integer. -4761 Round 4.908836 to 1 decimal place. 4.9 Round 6780106 to the nearest 100000. 6800000 What is 1590643.4 rounded to the nearest 10000? 1590000 What is 48.3444 rounded to zero dps? 48 What is 0.12151 rounded to two decimal places? 0.12 What is -1075.56136 rounded to the nearest one hundred? -1100 What is 0.0005864742 rounded to six dps? 0.000586 What is -238.4302 rounded to 0 dps? -238 Round -3416.79 to the nearest one hundred. -3400 What is -2039.502 rounded to the nearest 10? -2040 Round -796.276 to the nearest ten. -800 Round 9739710 to the nearest 1000000. 10000000 Round 0.000727973 to 4 dps. 0.0007 What is 0.00000054988438 rounded to 7 decimal places? 0.0000005 Round -10096998 to the nearest 10000. -10100000 What is 8144920 rounded to the nearest 1000000? 8000000 What is -40579700 rounded to the nearest 100000? -40600000 Round 0.000000292878 to seven dps. 0.0000003 What is 1.0287667 rounded to 2 dps? 1.03 What is -0.00254397 rounded to five decimal places? -0.00254 What is -0.00012371722 rounded to six decimal places? -0.000124 Round -6064287 to the nearest 1000. -6064000 Round -96446 to the nearest 10000. -100000 Round -0.000020188 to four dps. 0 What is -2759160 rounded to the nearest 10000? -2760000 Round -408.711 to the nearest one hundred.
{ "pile_set_name": "DM Mathematics" }
What is the units digit of x(6)? 4 Suppose -632 = -4*k + 80. What is the units digit of k? 8 Suppose y = -3*y + 292. Let a = -39 + y. What is the units digit of a? 4 Let z(c) = -4*c + 111. What is the tens digit of z(0)? 1 What is the units digit of (40/(-30))/(1/(-78))? 4 Suppose 5*c - 5 = -0*c. Let n = 18 + -14. Suppose 3*j - n*q = -0*j - 1, 0 = 3*j - 2*q - c. What is the units digit of j? 1 Let x(y) = -y - 4. Let m be x(0). Let t = m + 6. What is the units digit of t? 2 Let m(x) = -3*x**2 + 0 - 2 + 3. Let l be m(-1). What is the units digit of ((-6)/l - 6) + 15? 2 Let c = 5 - 4. Let f be 5/(0 + c/7). Suppose -47 = -5*n - 4*i, 3*n - i - f = -0*i. What is the units digit of n? 1 Suppose y - 6*y + 253 = 4*c, -3*c - 5*y + 196 = 0. What is the tens digit of c? 5 Suppose -5*r + 480 = 3*y, 3 + 9 = 4*r. Suppose -3*k = 5*c - y, 3*k = -c + 14 + 137. Suppose -w - k = -6*w. What is the tens digit of w? 1 What is the tens digit of (-12)/36 + 128/6? 2 Suppose 4 = -6*l + 28. What is the units digit of l? 4 What is the hundreds digit of (-71 + 2)*(-6)/(90/35)? 1 Suppose -24 = -t + 4*u, -5*t - u + 24 = 3*u. What is the units digit of t? 8 Suppose 5 - 23 = -3*t. Suppose -2*d = d + t. What is the units digit of 3 + 5/d*-2? 8 Suppose -2*z + 6*z + 101 = w, 0 = 4*w + 3*z - 366. What is the units digit of w? 3 Suppose 199 = z + 28. What is the hundreds digit of z? 1 Let c(n) = 52*n**2. Let p be c(-1). Let d = -2 + 5. Suppose d*b - 11 = p. What is the tens digit of b? 2 Let c(d) = d**2 - 7*d + 7. Let k be (-158)/(-22) - (-2)/(-11). Let m be c(k). Let u = m - -13. What is the units digit of u? 0 Suppose -3*n = -78 - 24. What is the units digit of n? 4 Suppose 0*s - 2*s + 56 = 0. Let i = s + -13. Suppose -4*q + i = -9. What is the units digit of q? 6 Suppose i + h = -2*h + 109, -5*h + 15 = 0. What is the units digit of i? 0 Let p be (6/(-9))/(2/6). Let z be (1 + p)*(3 - 2). What is the units digit of z/2 + (-84)/(-8)? 0 Let t = -26 + -25. Let g be 2/(t/(-24) - 2). Suppose -3*m = -g - 11. What is the units digit of m? 9 Let c = 8 + -6. Let b(r) = -r. Let l be b(0). Let j = c + l. What is the units digit of j? 2 Let w be 3*(12/(-3))/(-4). Let l(v) = -v**2 + 6*v - 1. What is the units digit of l(w)? 8 Suppose 2*j + 10 = -4*b, -4*j + 2*b = 5*b + 25. Let s be 1*-6*j/21. Suppose s = -l + 6. What is the units digit of l? 4 Let r(a) = -a**2 + 1. Let i be r(-1). Let d = 24 + i. Suppose d = n + 2*n. What is the units digit of n? 8 Let r(o) = -o**2 + 5*o - 8. Let u(c) = c**2 - 5*c + 8. Let w(d) = -4*r(d) - 5*u(d). Let f be w(7). What is the units digit of 4/(-10) - f/5? 4 Let w = -4 + 7. Suppose w*t = -9 + 27. What is the units digit of t? 6 Suppose 0 = 3*c - 6*c + 15, 0 = q - 3*c + 15. Suppose 4*j - 16 + 4 = q. What is the units digit of j? 3 Suppose p - 3 = 2*p. Let i(z) = z**3 + 4*z**2 + 4*z + 3. Let y be i(p). Let d = y - -6. What is the units digit of d? 6 Let w(j) be the second derivative of -j**4/12 - 2*j**3/3 - j. Let c be w(-5). What is the units digit of (-3)/9*(2 + c)? 1 Let l be (-6 - -2)*(0 - 1). Let o(u) = u**2 - 3*u + 3. Let i be o(l). Let d = -5 + i. What is the units digit of d? 2 Let o(b) = b**3 - 10*b**2 + 9*b + 7. Suppose 3*d - 9 = 2*d. Let c be o(d). Let q = c + -5. What is the units digit of q? 2 Let z = 14 - 8. What is the units digit of z/(-18) + 16/3? 5 Let o(w) = w**3 - w**2 + w - 1. Let n = -6 + 9. What is the units digit of o(n)? 0 Let g(l) be the third derivative of -7*l**4/24 - l**3/2 + 3*l**2. What is the tens digit of g(-2)? 1 Let p = -9 - -127. What is the units digit of p? 8 Let w be (-21)/(-6)*8/14. Suppose 4 = -4*s - 2*y + 6, -7 = -5*s + w*y. What is the units digit of s? 1 Let g(q) = 13*q**2 + 9*q + 24. What is the units digit of g(-6)? 8 Let q(l) = l**2 + 7*l + 21. What is the units digit of q(-12)? 1 Let y = -8 - -17. Suppose 0 = x + 2*x - y. Suppose -43 = -4*m - x. What is the tens digit of m? 1 Let k = 68 + -55. What is the tens digit of k? 1 Suppose 4*d + 3*k - 23 = 0, -4*d - 2*k = -k - 13. Suppose 0 = d*x + 2*x - 8. Suppose p + 3*o - 23 = 0, 4*p - x*p = 4*o + 16. What is the tens digit of p? 1 Let s(c) = 5*c**2 + 7*c - 15. What is the tens digit of s(4)? 9 Let t(s) be the second derivative of -2/3*s**3 + 0 - 5/12*s**4 + 5/2*s**2 - 1/20*s**5 + s. What is the units digit of t(-4)? 5 Suppose -3*g + 10 = 2*g. Let n(y) = y**2 - y - 2. Let o be n(g). Suppose -r - 6*l = -2*l - 23, o = 5*l - 25. What is the units digit of r? 3 What is the units digit of (-2)/((-6)/87)*1? 9 Suppose -v + 4 = v. Suppose c - 6 = 2*l, v*l - 25 = -5*c - 7. What is the units digit of (l/(-2))/((-1)/(-14))? 7 Suppose -l = -3*g + 4*l + 286, -2*g - 5*l + 149 = 0. What is the units digit of g? 7 Let j = 10 - 7. Let v = -4 - -6. Suppose -j*t - a = -3 - 7, -v*t = -4*a + 12. What is the units digit of t? 2 Let f be 2/4*(-13 + 1). What is the units digit of ((-8)/f)/((-4)/(-6))? 2 Let q(z) be the first derivative of -z**3/3 + 4*z**2 - 7*z + 1. Let t be (3/2)/((-3)/(-12)). What is the units digit of q(t)? 5 Suppose 4*k = -2 + 6. Let s = 22 + -20. What is the units digit of (12 - 2) + (k - s)? 9 Let s be 4/(-10) - 1659/(-35). Suppose 4*c + a = -4*a + s, 2*c - 11 = -5*a. What is the tens digit of c? 1 Suppose -70 = 5*m + 5*y, 3*m + 3*y = -2*m - 78. Let r = m - -25. What is the units digit of r? 7 Suppose -4*x = x + 30. Let t = x + 8. Suppose t*h - 2 = 4. What is the units digit of h? 3 Suppose 3*w = -a + 123, a = -5*w + 3*a + 216. What is the units digit of w? 2 Suppose -5*i = -11 + 1. Let b(m) = m**3 - 9*m**2 + 3*m + 6. Let u be b(8). What is the units digit of u/(-8) + i/(-8)? 4 Suppose 4*c - 2*c = 24. Suppose -4*p - 4*a + c = -0*a, 0 = 2*p - 3*a + 9. Suppose -3*h + 22 = 2*b, -5*h - 5*b + 18 + 12 = p. What is the units digit of h? 0 Suppose -h = -5*n - 42 + 102, -h + 44 = 3*n. Let c = -10 + n. What is the units digit of c? 3 Let r(z) = -4*z + 2. Let q be r(5). Let k = q + 13. Let g = 8 + k. What is the units digit of g? 3 Suppose 2*g + 8 = 4*f, 2*g + 0*g + 7 = 3*f. What is the units digit of 29 - (-1 - (-1 + g))? 7 Let o be (6/4)/(12/32). Suppose -3*x + 59 = -5*p, o + 0 = -4*p. What is the tens digit of x? 1 Let a be 22/4*(2 + 0). Suppose -291 + a = 4*d. What is the units digit of (-6)/8 + d/(-8)? 8 Let n = 3 + 3. Let t = n + 6. What is the units digit of t? 2 What is the tens digit of -4 + (4 - -54) - -2? 5 What is the tens digit of -20*(-4)/(64/36)? 4 Let x(j) = 4*j - 2. Let z be 4/(-22) - (-46)/11. Let n be x(z). Let g = n - 7. What is the units digit of g? 7 Let g = 0 - 6. What is the units digit of (-6 - -3)*44/g? 2 Let k(t) be the second derivative of t**7/2520 - t**6/720 + t**5/120 - t**4/12 + t. Let c(v) be the third derivative of k(v). What is the units digit of c(1)? 1 Let c(j) be the first derivative of j**2/2 + 2*j - 2. What is the tens digit of c(8)? 1 Let s(a) = a - 3. Suppose -4 = -i + 1. Let l be s(i). What is the units digit of 2*l/(12/9)? 3 Suppose 4*y - 3*f = 1129, 3*f = -5*y + 2*f + 1435. What is the units digit of y? 6 What is the tens digit of ((-288)/(-30))/(6/20)? 3 Let m = 6 + -4. Suppose -2*c = k - c, 0 = -m*k + 5*c + 21. What is the units digit of k/9 - 4/(-6)? 1 Let g(b) = 2*b**2 - 6*b. Let o be g(-5). Suppose -48 = -a + o. What is the units digit of (-4)/(-22) + a/22? 6 Suppose -2*w + 5*z = -31, -5*w + 5 = z - 5. Suppose x = w*x - 48. What is the units digit of x? 4 Suppose -3*r = -0 + 6. What is the units digit of r + -1 + 3 + 1? 1 Let k(w) = w**3 + 6*w**2 - 3*w + 7. Let d be k(-7). Let v(t) = -t**3 - 6*t**2 - 6*t - 4. Let o be v(-4). Let r = o - d. What is the units digit of r? 9 What is the tens digit of ((-48)/(-40))/(2/40)? 2 Suppose -5*m - 3 = 3*o + 13, -3*o + 5*m + 34 = 0. Suppose -o*d + 20 = 2*d. Suppose 2 - d = -2*x. What is the units digit of x? 1 Suppose -4*a = -5*c + 418, -4*a = c + 2*c - 238. What is the tens digit of c? 8 Let v = 9 + -4. Suppose s + v*s - 192 = 0. What is the tens digit of s? 3 Let t = -1 - -1. Suppose 0 = -t*g - 5*g + 35. Let y = -1 + g. What is the units digit of y? 6 Let b(y) = -y + 1. What is the units digit of b(-13)? 4 Let a = 8 + -9. Let d = 1 + a. Suppose d = -4*v - v + 3*o + 47, -39 = -4*v + o. What is the units digit of v? 0 Let c(t) = 30*t + 1. What is the units digit of c(2)? 1 Suppose -8 - 417 = -1
{ "pile_set_name": "DM Mathematics" }